{"text":"Question: Calculate the highest common divisor of 41 and 369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 + 10*v**2 + v - 6. Let w be k(10). Suppose w*r = 6*r - 10. What is the highest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 355945636 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4951 is divided by 2473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 - 5*r**2 + 7*r + 7. Let h be n(-6). Let f(x) = -4*x**2 + 1. Let c be f(1). Suppose 5*q + 14 = 29. Sort h, c, q in increasing order.\nAnswer: c, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = u + 302, 2*u + 302 = 3*l - 247. Let x be u\/(-26) - (-4)\/26. Calculate the greatest common factor of x and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 181627239?\nAnswer: 3, 5119, 11827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -402*t - 107 + 1176*t - 387*t + 6867*t**3 - 391*t wrt t.\nAnswer: 41202*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + 5 + -1 + 9 + -2 + 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 1 + -4 + -2 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 161900 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1247.8 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(99)*1)\/sqrt(9) - (sqrt(22)\/(sqrt(2)*1) - sqrt(44)\/(sqrt(4)*-2 + sqrt(4))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n**3 + 107320 + 3*n**3 - 107325.\nAnswer: -2*n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.9172 + 1.0172. Let t = 2 + -2.2. Let z = t + 0.4. Which is the nearest to z?  (a) -2  (b) -1\/3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + t + 33 = 0, 2*k + 12 = 2*t - 2. Let h = -22 + k. Let n = -16 - h. Solve -n = r + 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4803209?\nAnswer: 4803209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(-3)*6\/(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -18553 - 0?\nAnswer: -18553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + s - 4 = 0. Let t be (-6)\/s*((-52)\/12 - -1). Sort t, 4, -6, 2 in decreasing order.\nAnswer: t, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1778585578 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -622.59  (b) 5  (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x - 4*x + 5*x)*(3 + 0 - 2) - 4*x + 2*x + 0*x + 771 + 246*x - 774 - 28*x.\nAnswer: 217*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 5*u**2 - 3*u + 7. Let a(b) be the first derivative of b**3 - b**2\/2 + 4*b - 2. Let h(j) = -7*a(j) + 4*v(j). Give h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + 2033331?\nAnswer: 2033330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -w + 14. Suppose 336 = 3*g + 279. Solve -4*a + w = a, 5*a - g = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 38?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6273 and 101745?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -957 = -1832*h + 1793*h - 255 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j*j**4*j)*j\/(j\/j**(3\/13)))\/(((j\/(j\/j**(2\/27)*j))\/j)\/((j**(1\/24)\/j)\/j)) assuming j is positive.\nAnswer: j**(-16291\/2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lgghgdgglhig. What is prob of picking 2 l, 1 g, and 1 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/(-25) + (-22)\/(-10). Suppose -3*m - 4 = -2*i, 5 = -y*m + m - 3*i. What is the units digit of (-2 + 2\/2)*m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m - 21*m**3 + 3*m - 3*m**2 - 23*m**3.\nAnswer: -44*m**3 - 3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100, -121, -118, -79, 8, 155?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4.67  (b) -3\/5731  (c) -5  (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/7*319\/22. Let f = -8 - g. Let l = -74 - -293\/4. Which is the closest to f?  (a) -1  (b) l  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1300)\/6*(-4 - -1). Let a = -261 + f. Let o = 682 - a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -221*m**4 + 13*m**2 + 14*m. Let d(s) = -221*s**4 + 10*s**2 + 15*s. Let y(h) = -4*a(h) + 5*d(h). What is the third derivative of y(r) wrt r?\nAnswer: -5304*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/4, -0.3, 0.03, 4.8?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 3*l - 12 = 0, -2*l = s - 4*s + 14. Solve -3*m + 0*m - s = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 14632810, 29265614, 43898418, 58531222, 73164026, 87796830?\n\"Answer: 14632804*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-5) + 72\/15. Suppose -2*c = c + 3*y - 3, -k*c - y = 15. Let z = 3 - 5. Sort c, 1, z in descending order.\nAnswer: 1, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in -0.3638, 1.55, -3.3?\nAnswer: -0.3638","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -126 + 125. Let m be ((z - 8) + 3)\/(6\/4). Let y(r) = -2*r**2 - 2*r + 4. Determine y(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3794942 to the power of 1\/2, to the nearest integer?\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02799 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xygx when four letters picked without replacement from ggxyggxxgxygggvggyg?\nAnswer: 11\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*q - 2859852 + 14549852. What is q rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -149\/390 and -58\/55?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 40846 and 12818?\nAnswer: 20137078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of u**7\/420 - u**6\/60 + u**5\/20 - u**4\/12 + 7*u**3\/3 - 3. Let a(p) be the third derivative of v(p). Factor a(f).\nAnswer: 2*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -8*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 193*i**2 - 59*i**2 - 66*i**2 - 61*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 13 + 5. List the prime factors of (a + 85)\/(2*1).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/(-84)*-4 - 174\/(-14). Let p be 2 - 42\/s - 14\/(-4). Suppose m + 5*z = 8, 3 = 2*m - p*z - 1. Solve -4*f + 3*v + 26 = 0, -f - m*v + 1 = -v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7638424 grams in nanograms?\nAnswer: 763842400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -9 - 1170?\nAnswer: -1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of c**3\/3 + c**2\/2 - 2*c - 3. What is the units digit of t(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*(-4)\/(-16)*370 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7 and 30772.3.\nAnswer: -215406.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/13  (b) 0.1  (c) 4  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -103.0383 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 + 9*l**2 - 3*l + 1. Is y(7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 1668691 = -2*g - 3*b, g - b - 834342 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {p: 1, y: 4, q: 2, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4\/27, -2\/5, 3, 5, -1\/4 in decreasing order.\nAnswer: 5, 3, -4\/27, -1\/4, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/2 or -85.386?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-10)\/20*(-402)\/9 and -11 + 1 + (-1771)\/(-176)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 97 + 15\/(5 + 0). Suppose 5*a - 450 = -5*t, 5*t + l = -3*a + 540. What is the remainder when t is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 445, 1770, 3975, 7060, 11025, 15870, 21595?\n\"Answer: 440*s**2 + 5*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 975 and 83998200.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 181 divide 13118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22893271.\nAnswer: 17, 19, 70877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/5)\/f**(-1))\/(f**7\/(f*f**(2\/7))))\/(f**1\/f**0*f**1*f\/((f\/f**(-2\/23))\/f)) assuming f is positive.\nAnswer: f**(-6462\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2023002102 (base 4) to base 11.\nAnswer: 359959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/40)\/((6\/15)\/(-1)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + g = 2*g - 6, 4*k - g - 4 = 0. Suppose m - 24 = -k*w - m, -3*w + 2*m + 36 = 0. Let n = -8 + w. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156677.49 milliseconds in minutes?\nAnswer: 2.6112915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -4*k + 1. Let c be q(-1). Suppose 11 + 4 = c*i. Suppose -11 = -i*j + 1. What is the least common multiple of 11 and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -68878*h**3 + 18*h**2 + 18*h - 8. Let p be o(-4). Round p to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.967871ml in litres?\nAnswer: 0.006967871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3\/13 - 4076*q**2\/13 - 32512*q\/13 - 64960\/13.\nAnswer: -2*(q + 4)**2*(q + 2030)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -7041, -13938, -20835, -27732, -34629?\n\"Answer: -6897*z - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - w = -5*w - 1, i - 3*w - 5 = 0. Suppose -14*m = -i*m + 180. Let g = m - 60. Solve -1 = -g*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5 + 0 - -3) + 1. Solve 0 = m - 4*r + 2, 4*m - 2*r + n = 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -814743*i = -812544*i - 246288 for i.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*q**2 - 10*q**2 + 10*q**2 + (2 - 2*q - 2)*(4 - 4 - q) + 10*q - 10*q + 5*q**2 + (-q + 2*q + 0*q)*(-2*q - 2*q + 8*q).\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 0 + 2 - 3*z**2)*(-3 + 4*z + 3) + 3*z**3 + 0*z + 0*z in the form y*z + f + m*z**3 + q*z**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 61. Suppose 6*r = -16 + o. Solve 4*g = -r - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of -2\/9*b**3 + 12 - 1\/3*b**2 + 0*b. Let a(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-272)\/10)\/(85\/(-425)) is divided by 103?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-7)\/n*n\/(n*n**(-2\/9))*(n**(1\/3))**19 assuming n is positive.\nAnswer: n**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5461.159006 - -5461.1. What is a rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166658 != -0.005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**5\/9 + 5*k**4 + 46*k**3\/9 = 0 for k.\nAnswer: -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 319075.1 millennia in years?\nAnswer: 319075100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11979549?\nAnswer: 3, 443687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0 and 183.7.\nAnswer: 183.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r - 3. Let f be j(3). Suppose -2*l + 0*l - 5*a + 25 = f, -3 = -3*l + 4*a. Suppose w + 4*w - l = 0. Round w to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 59807366 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 300 = -6*q + 4524. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w**2 - 790202 + 1580401 - 790199 + 2*w**2 - 2*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 572053924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 81 - 149. Suppose -3*q = 3*z - i - 35, 3*q - 2*z = 106. Is 9 a factor of q\/48*27\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27.7 - -41.3. Let k = 243 - w. Are -1 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 5766*g + 16*g**2 - 5766*g to the form v*g + h*g**2 + q and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -141643350.315 minus 0.2?\nAnswer: -141643350.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 2:16 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3987667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*f**3*l**2 + 700504*f**3*l + 6062850*f**3 wrt l.\nAnswer: 8*f**3*l + 700504*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17579543\/320 + -54936. What is the common denominator of -81\/560 and g?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vjiv when four letters picked without replacement from {j: 3, v: 8, x: 4, i: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19730 + 19730 - 8*n**2 + (0*n**2 + 0*n**2 + n**2)*(3 - 2 + 0)*(40 + 16 - 3).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 430 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -635*b - 71. Calculate t(0).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 PM and 10:35 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.5, -1, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -801878.99999 + 801884. Let d = k - 5. What is d rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -530057884?\nAnswer: -530057884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g - 14*g**2 - 2*g + 14*g + 3*g in the form l*g**2 + q*g + w and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 + 1. Let l = 67 - v. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 192 = w - 193, -3*w + 8*m = 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the first derivative of -i**6\/3 + i**4\/2 - 10. Factor z(q).\nAnswer: -2*q**3*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (38*i**2 + 31*i**2 + 18*i**2)*(3 + 0 + 6) + 3*i**2 + 7 - 7.\nAnswer: 786*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 41 - 124\/3. Which is the smallest value?  (a) n  (b) -6  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 352626 (base 11) in base 12?\nAnswer: 22bb3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 4\/9 - 2\/9*y**2 - 2\/9*y = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*q - 153189 = -50033. What are the prime factors of q?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-16765)\/525 + 31)*-15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + 140879?\nAnswer: 140882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -124193?  (a) 9  (b) 0.06  (c) 0  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -109  (b) -1  (c) -3  (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -11040*-2*75\/12. Round g to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-3\/13))\/(y*y\/y**(-6\/11)))\/((y**(-2\/11)*y)\/(((y**17\/y)\/y)\/y)))**(-2\/117) assuming y is positive.\nAnswer: y**(-3262\/16731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1196, 2023, 2868, 3731, 4612, 5511, 6428?\nAnswer: 7363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26*d**5 - 743*d**3 + 743*d**3 + (4*d**4 - 3*d**4 + 0*d**4)*(0*d - d + 0*d) + (-d**2 + 2*d - 2*d)*(-d**3 + 102*d + 5290*d**2 - 5290*d**2).\nAnswer: 26*d**5 - 102*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(5*(2 + sqrt(99) + 1 - sqrt(99) - sqrt(99))*6 - -5*((4*-2*sqrt(99) - sqrt(99)) + 1 + 1 + sqrt(99))))**2.\nAnswer: -378000*sqrt(11) + 4455900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from vdgddvdtoddztd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g**(-19)))**(-46)\/((g*g**(5\/11))\/((g\/g**31*g)\/g)))**50 assuming g is positive.\nAnswer: g**(-498000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-65 + 105 - -15) + (-26 - 7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -292 + 988d?\nAnswer: 95fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.54 - -6.54. Which is the closest to -5\/7?  (a) 2\/5  (b) 1\/4  (c) z  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -72 + 72 - 39*d as i*d + t and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 18*v**2 - 14*v - 669. What is j(-19)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 1. Suppose -79 = -m*n - 10. Suppose -4 = 2*i, -f - 4*i - n = -75. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 4 = 2. Let k(f) = -f**2 + f - 1. Give k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 8 + 5 = 0. Let g = 3 - f. Let q be 35\/g*(-8)\/(-10). Solve 5*p - 6 = q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -1753.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.006201 + -5.\nAnswer: -4.993799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 33271631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 755674443 to the nearest integer?\nAnswer: 27490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**20*o)**(-3\/37) assuming o is positive.\nAnswer: o**(-63\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 61 and 4.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.17 * -5.2\nAnswer: -0.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50273.\nAnswer: 50273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6649, -13357, -20123, -26947, -33829, -40769, -47767?\nAnswer: -54823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(5) + 1)*-4)**2 + sqrt(125) + 4)*-1.\nAnswer: -100 - 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1914 + 48*z - 3940 + 0*z**2 + 2026 - z**2 - 2*z.\nAnswer: -z**2 + 46*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a**2. Let n(u) be the second derivative of u**4\/6 - 86*u**3\/3 - u + 145. What is n(o(q))?\nAnswer: 8*q**4 - 344*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of -m**3\/2 - 3*m. Let v(g) be the third derivative of g**5\/30 + 2*g**2. Give v(p(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 38 divided by 29328\nAnswer: 19\/14664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.208  (b) 4.73  (c) -0.046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*q + 25*q = 3. Let n = -2.7 - -3. Let y be (-3)\/2*2\/(-3). Which is the nearest to q?  (a) -1  (b) y  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -59*k**4 - 57*k + 62*k**4 + 3*k**2 + 59*k - 2*k**3 + 3 as o*k**4 + v*k**3 + q*k**2 + r*k + w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/3)\/(28\/42). Suppose 0*q - 5*q = -10. Suppose -s*z - 4*g = -57, -3*z - 3*g + 18 = -q*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of r**6\/120 + r**5\/6 + 7*r**4\/24 - 2*r**3\/3 + r**2. Let p be (9\/12 - (-33)\/(-36)) + (-159)\/18. Calculate z(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 120?  (a) 0.01  (b) 138.2  (c) -5  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*f*p**3 - 2*f*p**2 - f - 4*p**2 - 45*p wrt p.\nAnswer: -18*f*p - 4*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -750*u = 211*u + 133*u - 18237 - 6925 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 334093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 12*h. Let w be q(12). Let c(a) = -a**2 - 8*a - 10. Let g be c(-5). Solve -4*n = -9*n - g*j, -j + 4 = w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -51, -105, -157, -207, -255, -301, -345?\n\"Answer: x**2 - 57*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 4*q**2\/3 - 984824*q\/3 + 60617394436\/3 = 0.\nAnswer: 123103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**2 + 11838*n + 388397. What is b(-33)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.12*-8818909\nAnswer: -1058269.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -19307\/3068 at most -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 449 by 37.\nAnswer: 449\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (20\/6)\/(198\/(-27621)). Is -466 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (6 - (-1 - -16))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 358186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*b - 6577 = -12*b + 4*h, 0 = h - 2. What are the prime factors of b?\nAnswer: 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 0.15. What is the nearest to 1 in -0.5, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -26.04 and -1.86.\nAnswer: -27.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -68*k**2 + 9. Let d(r) = 20*r**2 - 3*r - 2. Let x(n) = 19*n**2 - 2*n - 2. Let m(o) = -2*d(o) + 3*x(o). Determine 9*m(z) + 2*q(z).\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7318186 to the nearest integer?\nAnswer: 2705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 10417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, -22, -5 in increasing order.\nAnswer: -22, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 18810 divided by 27\nAnswer: 2090\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 4, s: 1, c: 4, j: 1, p: 7, g: 3}. What is prob of picking 1 s, 2 c, and 1 p?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2106 - 11027. Let s = z - -27394. Let h = 24261 - s. What is h rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/27, 7, 0.4 in decreasing order.\nAnswer: 7, 0.4, 2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 3*t - 16931 - 5542 = 0, 0 = w + t - 7485. Does 92 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12122202 (base 3) in base 13?\nAnswer: 1b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -274*x = 26*x - 7678 - 2222 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*t = -0*t. Suppose -6*z + 11*z + 105 = 0. Let f be (-1)\/z*7\/2. What is the second smallest value in 2, t, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8425133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 0 + 400\/7*z - 76\/7*z**3 - 4\/7*z**4 - 320\/7*z**2 = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -1394\nAnswer: 1\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*a - 56*a + 725 = 0. Suppose 132*c = 137*c - a. Solve -4*h - 19 - c = 3*p, -4*h - 32 = 5*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32 + (-11 - (-32 + 48))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 322109136?\nAnswer: 2, 3, 82847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*u = -9*u + 2431 - 7143. Which is smaller: -159 or u?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16127 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/125454862 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4958158 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (22\/(-55))\/((-168)\/(-30))*(-12)\/9.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 52\/5*r + 152\/5*r**2 + 8*r**4 + 144\/5*r**3 - 4\/5*r**5 + 0 = 0.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1010381 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03108 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - -1528a8?\nAnswer: 152900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 184\/115 + (-2899512)\/(-55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 2)*(0 - 1 - 2)*((0*c - 3*c + c)*(-c + 2*c + c) + 2*c**2 - c**2 - 3*c**2 + 7*c**2 + 3*c**2 - 3*c**2 - 11*c**2 + 12*c**2 + 15*c**2).\nAnswer: 51*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of 0*m**3 + 0*m - 27\/2*m**2 - 66 + 1\/3*m**6 + 0*m**5 + 13\/2*m**4. Find the second derivative of q(l) wrt l.\nAnswer: 40*l**3 + 156*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55859?\nAnswer: 83, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 450828.4s to microseconds.\nAnswer: 450828400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -31 + 14456?\nAnswer: 14425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -t + 2*t - 10, -6 = -5*t - o. Differentiate 89 + t*p**3 + 167*p**2 - 141*p**2 + 32 with respect to p.\nAnswer: 6*p**2 + 52*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i - 2*i - 3*i**2 + 5*i + (2*i**2 - 2*i**2 - i**2)*(3 + 0 - 1))*(-2*i**2 - 4*i**2 + 5*i**2)*(-12*i + 21*i - 10*i).\nAnswer: -5*i**5 + i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t**2. Let y(v) be the third derivative of 3191*v**4\/12 - 1663*v**2. Calculate y(s(j)).\nAnswer: 12764*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 62651229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6031187 is divided by 212.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 + 5*s - 6. Let p be n(4). Let x(d) = 3*d**3 + 2*d**2 - d - 1. Let z be x(p). List the prime factors of 1\/3 + (-175)\/z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009954 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96583407?\nAnswer: 3, 32194469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 1)*(-2*b + 0*b + 3*b) + (-2*b + 1 - 1)*(3 - 2 - 3) + 6*b - 2*b - 2*b.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11226 + 11229. Which is the smallest value?  (a) -3  (b) s  (c) -5  (d) -8.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**3 - 17*w**2 - 7*w - 23. Calculate z(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -50*v + 1106. What is i(19)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1368322?\nAnswer: 2, 751, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 492*j**2 + 1 - 989*j**2 + 21*j**3 + 499*j**2 to the form g*j + i*j**3 + p*j**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 291.09 + -1.09. Let j = -25202.63 - -24914. Let b = s + j. What is b rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39 - 32. Let w = 6.9 - d. Let j = w - 0.3. Sort 11, 1\/3, j, 3 in decreasing order.\nAnswer: 11, 3, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 0.68, -1\/36, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -0.3, -6, 5, 8\/617 in increasing order.\nAnswer: -6, -1, -0.3, 8\/617, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/17  (b) 57  (c) -7  (d) 9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1034 + -80. Let w = f + -2734. Is 38 a factor of 6\/(-9) + w\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1746947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(384) - sqrt(384)*-3)\/sqrt(2) + ((sqrt(432) + sqrt(48) - sqrt(3))**2 - (sqrt(3) + sqrt(33)\/(2*sqrt(11)))).\nAnswer: 61*sqrt(3)\/2 + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 - -15. Solve -2*n - 4 = -3*b - 27, 0 = -x*n - b + 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3760000 = 4*o - 12*o. What is o rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 + 6*q + 12. Let v be f(6). What is the second derivative of -v*i - 13*i**4 - 3*i + 27*i**4 wrt i?\nAnswer: 168*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -8 + (17 + -19)*(-1 + -1). Let q(v) = 2*v - 3. Let j(s) = -10*s + 16. Let x(a) = d*j(a) - 22*q(a). Suppose 0 = 3*w - 9. Calculate x(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 9\/13  (b) 3  (c) -3\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -26882, -26885, -26890, -26897, -26906?\nAnswer: -26917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*t + 27*t + 11*t**2)*(0 - 3 + 1) + 5 - 12*t + 2099*t**2 + 5*t - 2096*t**2.\nAnswer: -19*t**2 - 7*t + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, 1, -2, 3 in descending order.\nAnswer: 5, 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -369, -1288, -2783, -4848, -7477, -10664, -14403, -18688?\n\"Answer: l**3 - 294*l**2 - 44*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that g**5\/7 - 29*g**4\/7 + 171*g**3\/7 - 391*g**2\/7 + 380*g\/7 - 132\/7 = 0.\nAnswer: 1, 2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**0*f)\/(f**(-6)\/f*f))\/(f**(1\/4))**(9\/11)*(f\/(f\/((f*f**1*f)\/f)*f)*f)**(-10)\/(f**(-2)\/(f*f**(-2)\/f)) assuming f is positive.\nAnswer: f**(-537\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7272 + 5?\nAnswer: 7277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -56*j - 113. Let i(q) = 27*q + 57. Give 5*a(z) + 9*i(z).\nAnswer: -37*z - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 37 + 1 = 0. Suppose 2*k - 3*k - 28 = 0. Let x = k - -100. What is the greatest common factor of h and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 307\/139 + -49249\/27522. Let h = -4\/11 + y. Calculate the common denominator of h and (-1042)\/(-180) + (16\/20)\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1830 or 2?\nAnswer: 1830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1183268716 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -0.5, -0.14, -2\/61?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 30 in -1\/4, -2, 1\/3, -1.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 7*k**2. Let g(u) = 4*u + 0*u - 3*u + 0*u. Determine o(g(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 3*h = h + 21, -2*h - 29 = -5*q. Solve 0*g - q = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**12*z*(((z\/(z**(-10\/7)\/z))\/z)\/z)\/z*z)\/((z\/z**(-18))\/(z*z*z*z*z**(-5\/3)\/z)) assuming z is positive.\nAnswer: z**(-68\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 76\/505 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 5*w**2 - w - 16*w**2 - 1 - 2*w**2. Let s be 26065\/20050 - 3\/10. Let t(n) = -n**2 - n - 1. What is s*t(j) - f(j)?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -7*m**3 - 22*m**2 - 16*m - 15. Let r(u) = 3*u**3 + 11*u**2 + 8*u + 7. Let g(c) = 2*q(c) + 5*r(c). Determine g(-9).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 0.01, 2\/169, -5\/3, 2\/17, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 17351, 17375, 17413, 17465, 17531?\n\"Answer: 7*z**2 + 3*z + 17341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 3  (c) 0.0319\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 5*g**5\/6 + 19*g**4\/3 + 29*g**3\/6 - 104*g**2\/3 - 62*g\/3 + 40\/3 = 0.\nAnswer: -5, -4, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - 1 - (-12 - (4 + -10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 9 + -1 + 7 + 8\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5526 + -3266. Calculate the greatest common divisor of z and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-1\/3)*n)**(-3\/5)\/(n*n**(-8\/11)*n**(-14)\/n) assuming n is positive.\nAnswer: n**(733\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 7, -2, 5127 in ascending order.\nAnswer: -2, -1, 1, 7, 5127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1199813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -158, 6.\nAnswer: -158, -16, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1963981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-53)\/530)\/((-1)\/5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11222821 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28471, -28478, -28485, -28492, -28499?\nAnswer: -28506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (67 - 67)\/(3\/(6\/4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of m**6\/60 - m**5\/30 - m**4\/3 + 4*m**3\/3 - m**2\/2 + 12*m. Let n(g) be the first derivative of h(g). Let n(q) = 0. What is q?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide (-4)\/10 - (42942\/(-30) - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 7) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 10 - 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 4*n**2. Let u(s) = -302654923*s. Determine d(u(k)).\nAnswer: 366400009664543716*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -267695 + 5?\nAnswer: -267690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -3*f - 9. Let u be q(-6). Let r be 6*((-98)\/(-21) - 7). Is (72\/r)\/(u\/(-42)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (169\/39)\/(202\/606)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 30 - 212\/7. What is the closest to 0 in g, -4, -2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of f**5\/60 - 5*f**4\/24 + 4*f**3\/3 + 21*f**2\/2 - 2*f - 4. Let u(s) be the first derivative of k(s). Give u(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6991949 is divided by 1468?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -947 = 15*q - 85*q + 803 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*t + 0*t = 342. Let k be (-58)\/t - 10\/45. Solve 1 = k*q - 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -4*j. Let u(f) = -f**3 - 9*f**2 - 3*f - 25. Let x be u(-9). Let n(p) = -13*p**x - 5*p**2 + 12*p**2. What is n(w(d))?\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1205494044 to the nearest integer?\nAnswer: 34720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3491*h**3 - 6618*h**3 + 3126*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, -253, 0.06?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 710*x + 249*x + 497*x - 30576 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-15)\/6)\/(1\/2). What is the smallest value in w, 3\/5, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - 0. Find the second derivative of v*x + 2*x - 3*x + 4*x + 2*x**4 wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/704648 and -12\/2202025.\nAnswer: 17616200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2*o**3 + 50*o**2 + 39*o - 2062. Calculate y(24).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (s**2 - 2*s**2 - 3*s**2)*(-2 - 2 - 6) to w + g*s + o*s**2 and give o.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 14 = h, 2*l = -h + 3*l - 9. Let f be 2\/(-3) + 34\/6. Suppose b + 10 = -b. Put f, b, h in descending order.\nAnswer: f, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h - 11*h = -4*c + 10, -6*h = -5*c + 13 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1336 = -3*q - 5*m, q = 2*q + 3*m - 448. Let h = q - 314. Calculate the greatest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/33*15\/10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54913579?\nAnswer: 7, 593, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 14 - (-79 - 2)\/(-9). Solve v + 5*c = 2*c + 1, -t = 2*v - c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 + 12*y + 14. Let b be f(11). What is the highest common factor of 200 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1357.3 + -0.3.\nAnswer: -1357.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)*-4*2*-2)\/((sqrt(972)*-3)\/sqrt(3)).\nAnswer: -16*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 54853 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7471, 7445, 7419, 7393?\nAnswer: 7367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**2 + 2*y - 3. Let b be i(-4). Let x = -3 - -7. Suppose -5 = x*l + 15. Put 4, b, l in decreasing order.\nAnswer: b, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 5 - 4)*(232*i - 580*i + 898*i + 1043*i).\nAnswer: 4779*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -8*d**3 + 6*d**2 - 8*d. Let a(z) = -z**3 + z**2 - z. Suppose 7 = 3*u - 11. Let n(m) = u*a(m) - o(m). Find the second derivative of n(k) wrt k.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = -4*d - 72, 21*d - 5*k - 84 = 14*d - 2*k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 59295.87mm in kilometers?\nAnswer: 0.05929587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 91 divide 1090180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 863, 862, 861?\n\"Answer: -f + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(1*sqrt(2299) + sqrt(2299)))**2.\nAnswer: 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 3 + 0 = 0. Let y be 0 + s + 666\/(-9). Does 15 divide ((-8)\/(-3))\/((-10)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*v - 3970 - 958 = 0. Factor -v - 63*u**2 + 25*u**2 + 22*u**2 + 36*u + 20*u**2.\nAnswer: 4*(u - 2)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -7*i**2 - 369*i - 1629. Determine b(-48).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 569 by 10707.\nAnswer: 569\/10707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -412 - -711. Let i = c - 291. Solve -i*s - 21 = 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -57439.619 and 13.06.\nAnswer: -57426.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 - 2 - (-294)\/6. Let d = i - 11. Suppose 0 = 22*w - 223 + 3. Calculate the remainder when d is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/1 - 717\/(-360). Let v = o + -217\/2760. Let t = 60 + -481\/8. Which is the third biggest value?  (a) t  (b) -3  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/5 + (-12501)\/5. Round z to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 - 16*x**2 + 49*x - 7. Let s be p(12). Let q(i) = -i + 55. Let y be q(0). Calculate the highest common divisor of y and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 102354 + -102351. Let 19\/7*t**s - 2\/7*t**2 + 2\/7 - 19\/7*t = 0. Calculate t.\nAnswer: -1, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from {q: 1, y: 9, p: 4}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 16*y - 21*y, 5*q - 40 = 5*y. Let v(m) = -m - 2. Determine v(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 503*g**2 + 45*g**2 + 314*g**2 - 4 + 228*g**2 + 3 as s*g**2 + p + f*g and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 3\/2, 1, 3\/1828, -2\/3, 5, 236?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 594 = 4*g, 4 + 2 = -2*k. What is the lowest common multiple of 6 and 2\/(-8) - g\/(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 332052 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.485332l?\nAnswer: 485.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jwiwwjmw. Give prob of sequence wwi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, -39, 3.1, 3\/4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 127*y + 179. Is i(30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*x - 4 = -40*x + 6*x + 8*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 769 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -56619.856?\nAnswer: 283099.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 15726814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1758723.7 rounded to the nearest 1000?\nAnswer: 1759000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -533588347 take away 1?\nAnswer: -533588348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a**2*c**3*x**2 + 2*a**2*c**3*x - 2*a**2*c + 114*a*c**3*x**2 + 2*a*c**3 + 12*c**3*x wrt x?\nAnswer: 2*a**2*c**3 + 228*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 + -1 + (0 - 0). Let b = 4 + -2. What is the second derivative of -4*j**b + j + c*j**2 + 3*j**2 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - (-5 + 3))\/(-1). Let b be 206 - i - (-16)\/(-8). Suppose -5*a + b = -0*a. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 60761\/22 - 2762. Put k, -0.5, 1 in decreasing order.\nAnswer: 1, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4814 and 0.4?\nAnswer: -1925.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -646\/11*a**4 + 0 - 2\/11*a**5 + 644\/11*a - 642\/11*a**3 + 646\/11*a**2 = 0.\nAnswer: -322, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112 (base 5) to base 4.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 876431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dkfpfpfffkdpfpdyfpf. What is prob of picking 1 f and 2 d?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 5*n**2 + 7*n + 1. Let k be o(-1). Suppose k = 8*i - 25 - 39. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -423155*v**3 + 1 + 423175*v**3 - 3*v**2 + v**4 + 5*v**2 + 7*v in the form g*v**4 + o*v**2 + d*v**3 + m + l*v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4634536 millilitres to litres.\nAnswer: 0.0004634536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (1 + 0 + sqrt(11))**2 + (((sqrt(11) + 1 + sqrt(11))*-4)**2 - sqrt(11)) - ((sqrt(132)*2*6)\/((sqrt(1452)*1 - sqrt(1452)) + sqrt(1452)))**2.\nAnswer: 65*sqrt(11) + 7853\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of -3*w**5\/10 - 5*w**3\/6 + 5*w**2\/2 - 2*w + 39. Let y(c) = -30*c**3 - 24*c + 24. Determine -24*f(u) + 5*y(u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 AM and 12:24 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 9058, 18118, 27178, 36238, 45298?\n\"Answer: 9060*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -25*q**4*s - 75*q**3*s**3 + 18*q**2*s**2 - 5521*s**3 wrt q.\nAnswer: -600*q*s - 450*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - 3) + (187 - (1 + 2)) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 9*q - 3. Let u(a) = 6*a - 1. Let m be u(1). Determine r(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2\/2 - 1838035*l\/2 - 36764700.\nAnswer: 5*(l - 367647)*(l + 40)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p*p\/(p**(-4\/11)\/p)*p)\/((p**(-9)*p)\/p))\/(((p**(-1\/2)\/p)\/p)\/p)**(-45))**22)**(4\/13) assuming p is positive.\nAnswer: p**(-12684\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13410490*u**3*x - 9926775*u**2*x wrt u.\nAnswer: -80462940*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 65353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -1199*b**3 + 7*b**2 + 38*b + 78. What is the tens digit of v(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5323 or 356626\/67?\nAnswer: 356626\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y**2 - 4*y + 35. Let b be s(7). Let q be (84\/b)\/(4\/22). Solve q*w + 1 = -14 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -74*y - 15 + 15*y + 29*y + 65*y in the form q*y + a and give q.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g + 3*n = 413 - 454, 2*n + 14 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a + 8. Let z(j) = j - 3. Let t(n) = 4*g(n) + 11*z(n). Let f(b) = -b - b + 2*b**3 - b**3. Let r be f(2). What is t(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*a + 12*a - 36. Let w = 7 + a. Calculate the remainder when 97 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 9:59 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 222 (base 16) to base 7.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26 + -26. Let z = p - 2.4. What is z rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 112 + -131.8. Let t = -0.01 - -19.01. Let f = z + t. Sort 3\/2, -4, f.\nAnswer: -4, f, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9 or 137\/17?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -653, -2504, -5589, -9908?\nAnswer: -15461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seventeen quarters of a millennium?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 220 = 4*w + 3*a + 74, 5*a = 5*w - 165. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**15*q**(2\/9))\/((q**11*q)\/q*q**(1\/8)))**(-9\/2) assuming q is positive.\nAnswer: q**(-367\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -107 (base 10) to base 7\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, -8, -1\/13, -2\/9, -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (-5 - (4 - 4) - -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 1658*t**3 - 7*t**2 + 21. Let o(k) = 1178009*k**3 - 4974*k**2 + 14922. Determine -4974*d(q) + 7*o(q).\nAnswer: -829*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4, -73, -188, -349, -556, -809?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 91 - 72. What is the remainder when 32 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(2\/19))**27 assuming r is positive.\nAnswer: r**(54\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4822 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/(-8))\/(1\/4*-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -690  (b) 0.2  (c) 1\/3  (d) -1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2438 is divided by 576.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 0.11?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -326 (base 16) in base 6?\nAnswer: -3422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (53*m - 83*m + 319*m)*(0*m + 5*m - 3*m).\nAnswer: 578*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 23390745031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(1900) + sqrt(1900) + -1 - (0 + sqrt(19) + -5 - (sqrt(684) + -1)**2).\nAnswer: 7*sqrt(19) + 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -705912160 divided by 2846420.\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -3  (b) -2\/9  (c) -139  (d) 22  (e) -8\/21  (f) -1\/10  (g) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*5\/(-5)*-2. Suppose q - 500 = -4*d, 0 = -3*d - q + u*q + 368. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -55 (base 8) to base 12\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (-47)\/(-25))\/(22\/110).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/(f\/(f*f**(-6)\/f)))**(-41))**(-1\/5))**(-2\/11) assuming f is positive.\nAnswer: f**(492\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6080\/988 + 4\/(-26). Suppose -11 = x + 2*r - k*r, -3*x = -5*r + 47. Sort x, -4, 6, -5 in increasing order.\nAnswer: x, -5, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than -1\/6936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:46 PM and 3:21 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -87, -177, -277, -393, -531, -697, -897, -1137?\n\"Answer: -v**3 + v**2 - 86*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y**3 - 14*y**2 + 28*y - 25. Let o(a) = -a**2 + 9*a + 19. Let u be o(10). Is k(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6 - 110\/(-20))\/((-2)\/356). Let b = p - 86. Let t(f) = -f**3 + 4*f**2 - 3*f - 1. What is t(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*y + 39*y = 18*y + 1269. Solve 18*d + 315 = -y*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 4*v + 3. Let z(i) = -i - 1. Let g(u) = 2*u - 7. Let p be g(5). Suppose 0*q - 2*q = 0. Suppose -o + q*o + 1 = 0. Determine o*r(w) + p*z(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t = 4*t + 760. Let o = -2688 + 2696. What is the greatest common divisor of t and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 2. Suppose 2*w - 7*r + 3*r = 18, 14 = s*w - 2*r. Does 15 divide (48 + (w - 5))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 763764 is divided by 2350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - 2*v**2 + 3 + (-3*v + 0*v + 5*v)*(v - 3*v + 0*v) + 5*v**2 - 2*v**2 + 8*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -76*s**2 - s - 3. Let j(c) = -152*c**2 - c - 5. Let y(w) = 3*j(w) - 5*u(w). Let f(p) = -p. What is f(y(a))?\nAnswer: 76*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -54b2 (base 15) to base 7.\nAnswer: -103211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2 = -0. Suppose c = -2*k + 10. Solve -k*l + 1 = 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s - s - 2 + 0*s. Let l = 0 + 1. Suppose 2*b - 9 = 2*c + b, b + l = 0. What is p(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1482.3635774 - 296.\nAnswer: -1778.3635774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - 3. Suppose -2*v = -5*r + 11 - 52, -3*v + 58 = -q*r. Suppose -12 = -5*d + v. Solve -d = 3*n - 3*y, 0*y = 4*n - 2*y - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12591 and 121713.\nAnswer: 365139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2*b**4 - b - b - b - 3*b as p*b**3 + m*b + f*b**4 + d*b**2 + h and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2628, 2634, 2640, 2646?\nAnswer: 2652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wj when two letters picked without replacement from jqewmeqbbeq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -24754.5218+-0.4\nAnswer: -24754.9218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 871 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 3*v - 5 = 0, -x + 2*v - 13 = 1. Let o = -5 - x. What is the closest to 2\/7 in o, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1 + (-2*sqrt(1539) + sqrt(1539) + 5)**2 + sqrt(1539) - (sqrt(1539) + (sqrt(1539) - sqrt(1539)*-1 - sqrt(1539)) + sqrt(1539) + 0)**2*3).\nAnswer: -39983 - 81*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, r: 3, g: 2, t: 4}. Give prob of sequence xttr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -2344*g**2 + 2353*g**2 - g + 25 - 27 + g as s*g**2 + b + v*g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22680 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2550 and -11342343459.\nAnswer: -11342340909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 52*a**3 - 745*a**2 - 444*a - 1211. What is q(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2 = 1. Let n be (6\/(-48) - (399\/(-56) + 3))\/4. Sort n, i, 4 in descending order.\nAnswer: 4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 * -5.74.\nAnswer: -2.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -2\/19, 3\/7, -1 in increasing order.\nAnswer: -1, -2\/19, 3\/7, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 - 25*p**2 + 280*p + 993. Give x(-35).\nAnswer: 3443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -s - 1 + 4, 2*s + 9 = 3*a. Solve -4*v + 2*q + 28 = 0, -8*v + 9*v - a*q = 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -636*u = -752*u - 1044 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1071439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2772783, 2772772, 2772751, 2772720, 2772679, 2772628, 2772567?\nAnswer: 2772496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 120 and 2102352?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -10*g**2 - g + 1. Let f be 23\/(-7) + 4 - 2\/(-7). Give i(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -8 + 11\/(-4) + (-120)\/96. Let s be ((-13200)\/(-10))\/(g\/13000). Round s to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -495017 + 495017 - 2414*w**2.\nAnswer: -2414*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u*u**(6\/11)))\/u*u**(-8))\/(u**1)**48 assuming u is positive.\nAnswer: u**(-633\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 247894 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 50141030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -5*u**4 - 45*u**3 + 245*u**2 - 195*u = 0.\nAnswer: -13, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and -287651105867.\nAnswer: -287651105866.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/((5\/(-1))\/10). Find the second derivative of 0*s - 267 + 282 + 79*s**i - s wrt s.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2911 by 1.\nAnswer: 2911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3 + -3.3. Which is the nearest to 1\/4?  (a) 0  (b) t  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1203558?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 - -15. Let g = -11 - -13. Let v = 127 - 133. Sort d, v, g.\nAnswer: v, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 87 + -54. Let c = -27 + j. Suppose 45 = -5*n + c*n. Is n a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = 3*y + 6, 5*y + 2*w - 112 + 122 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -129, 5, -22, -1 in decreasing order.\nAnswer: 5, -1, -22, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3 + 162*n**2 - 4374*n + 39366.\nAnswer: -2*(n - 27)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 11  (b) -772  (c) 99  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 3)*(7 - 10 + 6)*(-14*d - 4*d - 7*d).\nAnswer: -75*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 17*m**3 + 5*m**2 + 3*m + 3. Let n(h) = -3*h**3 - h**2 - h. Suppose -3*i - 15 = -4*b - 0*b, -4*i = 5*b + 20. Let z(j) = i*n(j) - w(j). Calculate z(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -d + 109 - 24, 0 = -5*n - 2*d + 80. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -a84675 (base 16) to base 10\nAnswer: -11028085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 230121*l**3 + 1021044*l**2?\nAnswer: 1380726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 + 2*w**3 - 5*w**2 + 0*w**3 + w - w**2. Does 3 divide y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 2 - 3)*(1483*j - 2967*j + 1481*j - 137*j**2) to l*j**2 + d*j + u and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*s - 6*s - 4*s)*(-s - s + s + (-s + 0*s + 2*s)*(6 - 1 + 0)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 AM and 10:32 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 39071720 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: How many micrograms are there in 266362.2 grams?\nAnswer: 266362200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 139499 is divided by 13948.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2*(-1)\/(-3)*-1. Suppose -5 = -3*k + 4. Suppose -k*s - 3 + 1 = -2*d, 4*s - 1 = -d. Which is bigger: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 762 (base 12) to base 8\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 74*h**2 - 15*h**2 + 140*h**2 - 14*h**2 to the form j*h**2 + d*h + y and give j.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/3 + 1\/3. Is 0.06 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1408278 and 294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -13*l**2 + 117*l - 112. Determine b(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1d18 - -272?\nAnswer: -1a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 197*x**2 + 9*x - 192. Let s be o(8). Calculate the greatest common divisor of 1115 and s.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2653, 10605, 23853, 42397?\n\"Answer: 2648*a**2 + 8*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l**(-1\/11)*l))\/l**(-1\/8))**(-18) assuming l is positive.\nAnswer: l**(-171\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1012*n + 987*n = v - 305, -3*v + 23*n = 261 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8 + -2243509?\nAnswer: -2243501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 71*m + 668. Let g be c(-11). Let o be 3 + g + (-63)\/7. Solve 15\/8*h**o - 3*h - 3\/2 = 0 for h.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 0*c + 2*c + 208 = 0, -2*c - 340 = -5*z. Suppose -406 + z = -4*o. List the prime factors of o.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -33 + (3 - 4 - 1). Let f = 115 + r. What is the greatest common factor of 16 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:38 PM and 2:04 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.37  (b) -2\/21  (c) 5  (d) -0.14  (e) -1  (f) -38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8950*x**5 + 595153*x**2 wrt x?\nAnswer: -537000*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - ((2 - 57) + -4). Let x = -55 + w. Suppose 564 = x*i - 99. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 - -11. Is -3 - (w + (3 - 4)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 - j**2 - 2*j - 145. Let v be w(0). Let s = -144 - v. Let z(x) = x**3 + 4*x**2 - 4*x + 5. Let m be z(-5). Put m, 3, -1, s in decreasing order.\nAnswer: 3, s, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -4*h + h**2 - 6*h**3 - 2*h**3 - 6 - 2*h + 0*h**2. Let g(d) = -d**3 - d - 1. Let i(n) = -6*g(n) + y(n). Find the third derivative of i(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 146*i**2 - 2*i + 1. Let t be v(1). Suppose -9 = -142*d + t*d. Which is the third biggest value?  (a) 3  (b) 7  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 4*j - 18 = 8*j, 0 = -4*x - 5*j - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 5 - (-49 - (48 + -26 + -49))) + 10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -364*d - 17532000 = -340*d. What is d rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 9*l = 42. Suppose 0 = -3*q - l + 18. Solve 4*t = q*a - 20, -a = 2*a - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -200120 + -25?\nAnswer: -200145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ql when two letters picked without replacement from {s: 6, a: 1, l: 5, o: 1, q: 1}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15 + -20. Sort -0.221, -0.5, y in ascending order.\nAnswer: y, -0.5, -0.221","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*3\/(-6)*(-70)\/20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 621470 (base 10) to base 6.\nAnswer: 21153102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1860 and 27.\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 3 + 9*w + w**3 + 7*w - 9*w**2 - 7*w. What is the units digit of b(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11776573 is divided by 315.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5509995912 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (48\/(-40))\/(1\/(-5)). Let i(m) = -3*m + 13*m + 5*m - 5. Is i(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175452426 a multiple of 1997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k + 14*k = 0. Let l(w) = w + 1. Let b(u) = -6*u + 12. Let r(z) = -b(z) - 5*l(z). Give r(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 + 34*k - 242. Determine c(-40).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 459 and 4222783?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2942*r**2 + 2939*r**2 - 6*r - r)*(-2*r**2 + 8*r**2 - 2*r**2).\nAnswer: -12*r**4 - 28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0 = 20. Suppose 0 = -4*c + 3*t + 12, -2*c + 12 = 2*c - t. Calculate the lowest common multiple of i and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 - 8*t - 11. Let q(p) = 7*p + 135. Let h be q(-32). Suppose -2*a + r = 165, -289 = 2*a - 4*r - 109. Let b = a - h. Calculate d(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8164493.\nAnswer: 647, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 3*x + x + 11, 4*x - 16 = 0. Let p be ((-6)\/5)\/(k\/(-30)). Let u be 1*(p - -2)*42. What is u rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -795*q + 792*q + 21 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -63?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 7 + 19 = 0. Let r be f\/34*-3*(-1)\/(-9). Let d = 12 - 11.7. Sort 2\/3, d, r, 0.2 in descending order.\nAnswer: 2\/3, d, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/1 - 3\/(-1). Suppose s - l = -s. Calculate the remainder when 1 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -429.449.\nAnswer: 1717.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 62481187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3000043404 (base 5) to base 8.\nAnswer: -26271722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -1020, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 28 = -4*y - w, 4*y - 28 = 5*w. Suppose y*n - 32 = 3*n. Solve -4*g + 2*b = 0, -2*b + n = 4*g - 0*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.34 + 3.56. Let x = k - 4. Let l = -0.4 - -0.5. Does x = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 40025.67 years?\nAnswer: 4002.567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19.84 - -350.36. What is c rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -76 + 76. Suppose y = -k - 5 + 9. Calculate the greatest common factor of k and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11430 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z - 15. Suppose 27 - 12 = -3*p - 3*k, -30 = 3*p - 2*k. Give l(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 629586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4*(-119)\/408)\/(3\/(-18))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14914680?\nAnswer: 2, 3, 5, 11, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/15864 and 47\/5.\nAnswer: 79320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26 (base 9) to base 7.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 4*v**3 + 531*v**2 - 666*v + 446. What is z(-134)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 18\/(-12) + (-70)\/(-4). Let j = -11 + c. Differentiate 91 + 0*h**3 - 99 + 0*h**3 + j*h**4 wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1804.461 centimeters to meters.\nAnswer: 18.04461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -24*g + 21*g. Solve -g*b - 4 = -6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*s - 4. Suppose 0 = -681*d + 105*d. Solve q + 6 - s = d for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 68872, 137901, 206930, 275959, 344988, 414017?\nAnswer: 483046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the third derivative of -q**2 + 0 + 1\/60*q**5 - 3*q**3 + 0*q - 1\/24*q**4. Calculate y(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrorroorrr. Give prob of picking 1 o and 2 r.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of -r**10\/37800 - r**9\/9450 - r**8\/8400 + 7*r**4\/24 - 9*r**2. Let t(d) be the second derivative of y(d). Factor t(v).\nAnswer: -4*v**3*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v**3 - v**2 - 5*v - 2. Suppose -64*o + 24*o = -21*o - 95. Let f(x) = 2*x**3 + x**2 + 4*x + 1. Calculate o*f(h) + 4*j(h).\nAnswer: 2*h**3 + h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*17*(420\/15)\/56?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*a + 6 - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and -528\/3425 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(-14))\/(1 - (-24)\/(-28)). Let d be (y - (-2 + 3)) + 6 + -7. Solve -5*c - 4*t + 7 - 22 = d, 0 = -2*c + 2*t + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 6:06 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*((-85)\/(-17))\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 3*p = 17, 0*k + k + 8 = 2*p. Let d(j) = 2*j**3 - 2*j**2 - 2*j + 3. Calculate d(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59121158 rounded to the nearest one hundred thousand?\nAnswer: 59100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-5))\/(876\/730) - (2 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -49, 0, -12, 470, -5, 11 in descending order.\nAnswer: 470, 11, 0, -5, -12, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4529731a + 4?\nAnswer: 45297323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**2. Let g(s) be the first derivative of -s**2 + 104*s - 61. Determine g(k(r)).\nAnswer: -4*r**2 + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.047 - 0.0383. Round w to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8704 and 10302?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4959 - -4965. What is the closest to -2\/7 in -0.028, j, -10\/7?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -51\/2 + 25. Let z = -1.19 + 3.15. Let i = z + 0.04. Which is the second smallest value?  (a) r  (b) 5  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 23 = -1. Let h = l + 10. Let x = -20 + 22. Calculate the smallest common multiple of x and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 440 = 5*j - 0*j. Let p = j - 54. Let d = 113 - p. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (51 + (-228)\/38)*(-3 + (-24)\/(-6 + 0))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7  (b) -1\/15  (c) 30  (d) 21\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, n: 2, u: 5}. Give prob of picking 2 u.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1726738432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, 2, -404, -2 in increasing order.\nAnswer: -404, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 4*h - 24 + 9 = 0, -9 = -3*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 754065 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 7*d. Let t be 18\/(-15) - 4\/(-20). Let g(l) = 2*l**2 - l - 1. Let b be g(t). Let a(v) = 3*v**2 + 0*v**2 + 0*v**2 - v**b. Calculate j(a(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 2*q + 12 = 0. Sort q, -5, 5 in decreasing order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l*l*l**(4\/13)*l*l*l*l*l\/((l*l**13)\/l))**(19\/6))**(4\/7) assuming l is positive.\nAnswer: l**(-2318\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o**2 + 8*o + 6. Let s(v) = 2*v**2 + 7*v + 3. Calculate 4*a(l) - 5*s(l).\nAnswer: -2*l**2 - 3*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1222 (base 3) in base 9?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 60\/18 + (-1)\/3. Calculate the greatest common divisor of 12 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, -34, -3, 9, 178, -2.\nAnswer: -34, -3, -2, -1, 0, 9, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {i: 2, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -141 + 21. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/7)\/((c**(3\/5)\/c*c*c)\/c*c))**37 assuming c is positive.\nAnswer: c**(-2257\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = 2*z - 85 + 322, 5*z = 3*f - 237. What is the remainder when 645 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (5 - ((-615)\/10 + 5))\/((-1204)\/(-56) + -23)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + -34 - (39 + -56) - (2 - 0).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**5\/3 - 2*l**4 - 4*l**3 + 56*l**2\/3 - 16*l.\nAnswer: 2*l*(l - 2)**3*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (52\/(-286))\/1*-1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*v - 10 = -97*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -361255*f**5 - f**3*t**2 - 3*f**3*t + 534*f**2*t**2 + 127*f**2*t wrt f.\nAnswer: -21675300*f**2 - 6*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (330*u - 1474*u + 545*u - 1176*u)*(-u**2 + 0 + 0)*(1 - 3*u**2 - 1).\nAnswer: -5325*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2660\/(-11) - (-6)\/(-3). Let i = 244 + j. Factor 4\/11 - i*s - 2\/11*s**2.\nAnswer: -2*(s - 1)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 3*y = -3, -5*z - 1 - 4 = -5*y. Let j be (1\/(-1) + z)*2. Calculate the common denominator of -43\/10 and j + (235\/2)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 658, 0.4, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4019763 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**2)**7)**(-3\/28) assuming g is positive.\nAnswer: g**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - ((-212)\/(-8) - 1\/(-2)). What is the hundreds digit of (-1)\/4 + (-9667)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -4, 2\/3, -0.5, -2\/5, -71471?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 17 = -5. Suppose q = 2*o + 4. Is 5 a factor of o + 3 + (-22)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*s**2*x**4 - 4*s**2*x**3 + 2*s**2*x**2 - 378*s**2 + 4*s*x - 8*x**4 wrt x?\nAnswer: 240*s**2*x - 24*s**2 - 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29260 divided by -29260.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/1017 and 68\/339?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -8. Suppose 2*n = -o*n, 6 = v + n. Let u be 4 + -1 + (23 - v). What is u rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2613 + 866*g**2 - 2613 to the form a + x*g**2 + k*g and give x.\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from qqxqqqqxqxxxxx.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -755 - -8357\/11. What is the common denominator of -89\/214 and u?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/2)\/(-19*29\/1653)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4563.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -13*q. Let g(n) = n + 1. Let j(l) = 3*g(l) + r(l). Let u be j(3). Find the common denominator of u\/(-2)*(-4)\/(-14) and 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11749041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -111 + 126. Calculate the remainder when 79 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 65174, 65163, 65150, 65135, 65118?\n\"Answer: -g**2 - 8*g + 65183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 2*n. Let j be w(4). Let f = -8 + j. Which is the nearest to f?  (a) 0.3  (b) -4  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 829.6188 to 0 dps.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*a + 10*a - 3*a - 6*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 7, l: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = c + 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.717, -2\/9, -23, 1 in ascending order.\nAnswer: -23, -2\/9, 0.717, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2216 - -1.2746. Let i = 71.217 + -71. Let q = g + i. What is q rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v + 16 = 0, -296*v + 294*v - 33 = u for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 10:26 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from iviivvviiii?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2072723, -4145505, -6218287?\nAnswer: -8291069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -32*i + 27*i. What are the prime factors of (23 - 0) + (i - 0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16923.\nAnswer: 3, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -4*a - 43. Give p(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28.75696 microseconds to nanoseconds.\nAnswer: 28756.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -5*k, 2*n + 3*n = -5*k + 20. Suppose 0 = -4*p - 3*a + 1, 8 - 11 = -p + 2*a. Solve k + p = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p - 12. Let g be o(-5). Let r be 4*(g + 122\/(-8)). Let j = -42 - r. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 + 5*a + 6. Let t be z(4). What is the hundreds digit of 2\/(0 - t\/(-6215))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 - -21. Let j = -605 + 722. What is the highest common divisor of j and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + d - d)*(0 + 4 + 0)*(-34 + 324 + 35).\nAnswer: -1300*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j**2 + 557*j - 32459. Give w(83).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/1536299 or -1?\nAnswer: -2\/1536299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 3*b**5 + 33*b**4 + 105*b**3 + 75*b**2 - 108*b - 108 = 0.\nAnswer: -6, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*h**2 - 2*h*y**2 - 171*h + 3510*y**2 wrt h.\nAnswer: 4*h - 2*y**2 - 171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3\/7 + 442*s**2\/7 - 440*s\/7.\nAnswer: -2*s*(s - 220)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a + 6*a - 3*a + (-1 + 5 - 7)*(-80*a + 15*a + 22*a).\nAnswer: 132*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 4140?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = d - 0. Suppose -2*c = -c - d. Let l be 3*(c + (-39)\/12). Are -1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 796 - 785. Solve -h*o + 13*o = 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -48, -5, -1\/8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 7*q - 5. Let w = -0.3 - -0.1. Let y = -0.1 - w. Is q greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 4.29328 decades?\nAnswer: 0.429328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 512866 and 3457042.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26\/23993 + 23811\/167951. Factor -2*t - u*t**3 + 17\/7*t**2 - 32\/7.\nAnswer: -(t - 16)*(t - 2)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 2*s - 8 = 0, g - 2 = -0*s + s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4146 divided by -2?\nAnswer: -2073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 27567 at most as big as 25884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 10*y**2 - 23*y - 11. Let s(l) = 11*l**2 - 2*l + 3. Let r be s(1). Calculate q(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1229.1817287738 - -0.09\nAnswer: -1229.0917287738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 4*u**2. Let c(k) = -54*k + 396. Let f(v) = 2. Let l(o) = -2*c(o) + 396*f(o). Give d(l(h)).\nAnswer: 46656*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -183069*d**2 + 5448*d - 3 wrt d?\nAnswer: -366138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3 + 42*z**2 + 119*z + 78.\nAnswer: (z + 1)*(z + 2)*(z + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 89766 (base 15) to base 14.\nAnswer: b53b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oodoogd. Give prob of picking 2 d and 1 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 478 is divided by 47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -9380, -9359, -9332, -9305, -9284, -9275, -9284, -9317?\n\"Answer: -d**3 + 9*d**2 + d - 9389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1223837.29 rounded to the nearest ten thousand?\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3419.1823 + -3425.9. Let m = z - -6.7. Round m to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -61 - -65. Solve -5*j - x*z - 15 = -1, -11 = 4*j + 3*z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 26, 21, -12, -85, -210?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 35554400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1877 + -1312. What is the highest common factor of 1017 and n?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 3)*(-12 - 4*g + 12) + 38 - 16*g - 38 + (3 + 0 + 0)*(0*g + 6*g - 7*g).\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-15)\/(-6)*36\/30. What is the third derivative of 0*q**2 + 3*q**f + 0*q**3 - 4*q**3 - 2*q**2 wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4*z = -272, x - 1088 = -3*x + 2*z. Let q = x - 193. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - -33?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-4) + (-255)\/6. Let z be 0 - 81*18\/(-27). Let q = k + z. Calculate the least common multiple of 5 and q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 0 - 54*r + 49*r + (2 - 1 - 3)*(r - r + 2*r) + r + 3*r - 3*r in the form t + j*r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 9568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 2*y - 5*m - 19, 0 = 2*m + 6. Suppose 1518932 = -y*z - 281068. Round z to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j - 9. Let n(z) = -z + 4. Let d = 11 - 17. Let l(v) = d*f(v) - 13*n(v). Determine l(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0*i = 2*d + 92, 2*i + 4*d = 122. What is the highest common divisor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one ninth of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 65563801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 11:16 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-41*r - 40*r + 78*r)*(3*r + 3*r + 13*r) in the form m*r**2 + o*r + b and give m.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.41 + 16.41. Let j = -15 + d. Which is the closest to -1?  (a) 5  (b) 0.5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 AM and 2:01 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -24, -0.02 in descending order.\nAnswer: 3, -0.02, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.605407 nanometers in micrometers?\nAnswer: 0.001605407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1254000 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-6)*((-99)\/77)\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(960) - (sqrt(960) - 1*sqrt(960)))\/(sqrt(27)\/(sqrt(27)\/sqrt(3) + sqrt(9) - sqrt(9)) + sqrt(3)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of -2*g**6\/9 + 14*g**5\/15 - 3*g**4\/2 + 10*g**3\/9 - g**2\/3 - 6. Factor z(n).\nAnswer: -2*n*(n - 1)**3*(2*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -4*s + 3. Let w be t(1). What is the closest to w in -4, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -15747, -31495, -47243, -62991, -78739, -94487?\n\"Answer: -15748*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2195 or 2205?\nAnswer: 2195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -375401 (base 11) in base 15?\nAnswer: -ba98a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*p = -42*p + 43*p + 1976 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1810 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2138 - -3117. List the prime factors of o.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 893 - 6065 = -6*j. Suppose 5*k + j + 111 = 3*d, -2*k - 1288 = -4*d. What are the prime factors of d?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - 75\/(-20) - (-21)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*p - 13 - 34 = -5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2600490 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (141\/(-4))\/(2\/8). Let j be ((-6)\/15)\/((-15)\/(225\/(-2))). Is (j - o) + 8\/(-4) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120102112 + -10?\nAnswer: 120102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 6332723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2647183, 2648631, 2651051, 2654449, 2658831, 2664203, 2670571, 2677941?\n\"Answer: r**3 + 480*r**2 + r + 2646701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 424645.\nAnswer: 5, 13, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 28104*a + 3629. Is l(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 798?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand r**2 - 4 + 4 - 2*r**2 + 4*r**2 - 3*r**2 + (-5*r**2 + 3*r**2 - r**2)*(2 - 1 - 3).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -127*p**2 - 25*p - 2?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 206 - 20. Suppose 4*c + 22 = n. Let t be c\/8 - (1 - 0). Are 5 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 21*o - 11. Let u = -45 + 30. Is p(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32\/159 and 109\/18.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 6*s + 4*k - 20 = 0, 10 = 3*s + 2*k. Let a be (1 - 2 - -3) + s. Suppose -2*i = -a - 4. Solve -1 = -2*j + i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fmmk. Give prob of sequence kf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -6*q - 1683621 - 921702, 4*q - 1736858 = -2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from {d: 7, p: 6, b: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -9*25.8\nAnswer: -232.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 2*p - 283. Suppose -10*z - 177 = -21*z + 2*j, 4*z + j - 54 = 0. Calculate the remainder when p is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20358 and 302354?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -40, -191, -572, -1297, -2480, -4235?\nAnswer: -6676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-40)\/30*(-21)\/2. Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 825*p - 82*p - 6*p + 1466*p - 233*p in the form c + m*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 3*r - 4, -u - 4*u = 5*r - 20. Suppose 8*p + 40 = 6*p. Let w be 58\/8 - 15\/p - 3. Sort u, -5, w.\nAnswer: -5, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 29 - 38*f - 70*f + 154*f - 54*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -152329 - -152332. Let a(l) = 3*l**2 - 4*l + 1. What is the smallest common multiple of w and a(-3)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 686027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -p**3\/3 + 300*p**2 - 90000*p + 254. Determine y, given that x(y) = 0.\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -s - 4*w, 5*s - 4*w - 19 = 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 39 - 45.4. Let a = k - -1.4. What is the second smallest value in -4\/7, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + -7. Suppose 0 = 4*o + s + 122 - 358, 5*o + k*s = 292. Suppose 4*h = -h + o. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-1\/4))\/(t\/(t\/((t\/t**(10\/9))\/t)))*(t\/t**1)**(2\/67) assuming t is positive.\nAnswer: t**(67\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 833 = 5*k, 3*k = -0*k + 5*q + 492. Let s = k - 115. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.91 + -2.14. Let l = w - -2.95. Let c(z) = z**2 - 2*z - 2. Let b be c(3). What is the second biggest value in l, b, 8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38 and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i, -4*x - i + 8 = -0*i. Let b be 48\/(-12) + 5*x. Let y be (-2)\/3 + 22\/b. Put 2, -1\/5, y in descending order.\nAnswer: y, 2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**2 + 21*y**2 + 10*y**2. Let d be x(-1). Let z(f) = 4*f**2 - 33 + d. Let w(k) = 2*k. What is z(w(r))?\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*a + 51*a = -192 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of -o**4\/4 + 2*o**3 - 2*o**2 - 5*o + 12. Let k(p) = -p**2. Let r be k(0). Let w be 1*(r + -2 + 7). Calculate b(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 186989644*r**3 + 19986*r - 8309 wrt r?\nAnswer: 1121937864*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 4*g - 116, 7*g = -3*m + 11*g + 90. Solve 5*o + 4 = -4*a, -2*a - m = -5*o - a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15584.1557 + -12.4443. Let a = 15595.90967 + c. Let m = a - -0.69. Round m to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000000401 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 373920415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*h + 31*h + 23*h + 1 - 4*h.\nAnswer: 105*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -3*k**4 - 11178*k**3 - 2461155*k**2 = 0?\nAnswer: -3491, -235, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*c = -208, -5*x + 4*c - 257 = -10*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-5 + (6*(sqrt(720) - (sqrt(720) - 5*(-1 + sqrt(720)))))**2 + (sqrt(5) + 1*sqrt(320) - (sqrt(80) + -1))**2 + 0).\nAnswer: -43180*sqrt(5) + 1298042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -60*j**5 + 2*j**2 - 3285*j - 9628*j + 0*j**2 + 18281*j - 135*j**5 wrt j.\nAnswer: -3900*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 + -8. Suppose n*l = 134 - 32. Let a be -1 - (2 + l\/(-10)). Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1535*d**2*p + 9*d**2 + 76 wrt p?\nAnswer: 1535*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -236.1 - -233.1. Suppose -3*d = 5*g + 25, -2*d + 0*g - 20 = 4*g. Sort i, d, -1\/3, 8 in increasing order.\nAnswer: i, -1\/3, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + -2*(-1 + 4 + 1*sqrt(117) + 2))*-6)**2.\nAnswer: 5184*sqrt(13) + 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*q = 55*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((12\/14)\/((-80)\/(-140)))\/((-7)\/448). Which is smaller: -1\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 4*d - d + 383, 5*d - 435 = -5*r. Let l(y) = 36*y**2 + 1. Let n be l(2). Let p = n - r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/418)\/((6552\/693)\/104).\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 4823981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l + 11. Let s(z) = 7*z + 58. Calculate 6*a(k) - 2*s(k).\nAnswer: -2*k - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4801 - -11250. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1230730 and 460.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 87\/(-36) - (21\/(-4))\/7.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 - 31*z**2 - 18*z + 547. Calculate l(31).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -4551.205 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:46 PM and 8:56 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n**3 + 39*n**2 - 19*n + 26. Let v(y) = y**3 - 19*y**2 + 10*y - 13. Let s(q) = 6*p(q) + 13*v(q). Let k be 15 - (20\/4 - 2). Is s(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35.41526 centuries to decades.\nAnswer: 354.1526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4b4 - -6?\nAnswer: 4ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 22*m**2. Suppose 6*q = 4*q. Let s be 6\/4*(2 + q). Let c(w) = -3*w + w - s*w + 3*w. What is t(c(h))?\nAnswer: 88*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -63487, 0.5, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + -53825850?\nAnswer: -53825848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*l - 9*l - 2*q, -9*l = l + 2*q for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -139 + 131 + 0 + -1 + (2 - -7 - -56)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 351801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 380, -5, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of -2 + 17*k**2 + 5\/6*k**5 + 0*k + 49\/24*k**4 + 0*k**3. Find the second derivative of v(y) wrt y.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 6*h - 2*j - 197 = 0, 0 = 3*h + 4*j - 139. Let k = 40 + 21. Suppose -h = -3*c + k. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 268247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 116.076 - 0.476. Let t = 104 - o. Let s = 21.6 + t. Which is the second biggest value?  (a) s  (b) 4  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*(-15)\/(-12)*4. Suppose y*g = 198 - 73. Calculate the remainder when 99 is divided by g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) + -2 + sqrt(192)*-2)**2.\nAnswer: 32*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*f - 73*f = -2*p - 123, 4*p = 4*f - 164. What is the remainder when 2431 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*q + 60 + 0 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5361 divided by -1787\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -4*h. Suppose h = k - 0*k - 3*n - 148, -4*k - 4*n = -672. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -25 - 4*c**3 - 18 + 15232*c - 15234*c wrt c?\nAnswer: -12*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -585*g + 575*g + 40 = 0. Sort 0, g, 121 in increasing order.\nAnswer: 0, g, 121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = -2*m + 6*m. Suppose 5*y = p + 15, p - 7 - 8 = -5*y. Suppose 0 = 3*o - 5*j - 26, j - m = -y*o - 3*j. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 44\/21, 2\/9, 0.5, -4\/5, -3, 758, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 5*n**2 - 2*n - n**2 - 2 - n**2. Let b(o) = -5*o + 3*o**2 + o**2 + 2*o - 3. Determine 2*b(k) - 3*h(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**2 + 20*z - 24 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -2*p. Let z(a) = 5*a - 56. Let h be z(12). Suppose 0 = -6*t + h + 2. Solve p*n + t = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -453*(-6)\/9*3\/6?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-5)*(-2)\/(-4). Let w = -4.8 + 6. Let d = w - -3.8. What is the nearest to 1 in 4, d, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 73*g**2 - 27*g - 1317. What is the least common multiple of 1308 and q(-73)?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 + a - 2. Let y(l) = l**3 - 7*l**2 + 6*l - 6. Let f(q) = -y(q) + 4*z(q). Suppose 2*s = -5*n + 3*s + 16, -3*n + 4 = 5*s. Calculate f(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 103 + -47. Let z = 33 - -5. Let t = u - z. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -351, 1\/10, 0.4, 2.5, -4, -21 in increasing order.\nAnswer: -351, -21, -4, 1\/10, 0.4, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, w: 5, b: 3, e: 2}. Give prob of picking 1 w, 1 b, 1 k, and 1 e.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 297841896 and 792?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -278*l**4*m**3 + 236494*l**4*m**2 + 122*l**2*m**3 + l**2*m**2 - 49*l**2 + 244*l*m**3 - 2*l wrt l?\nAnswer: -6672*l*m**3 + 5675856*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.374399kg to milligrams.\nAnswer: 374399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(36\/2880*-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 234 and 15405.\nAnswer: 92430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(22)*-2 + sqrt(22))*-5)\/(sqrt(1584) - 2*sqrt(1584)) - ((sqrt(168)*-1)\/sqrt(7))\/(sqrt(12)*1*-3 + sqrt(12)).\nAnswer: -11*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53401 is divided by 17489.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s + 1. Let m(q) = -8*q - 6. Let t(y) = -12*k(y) - 2*m(y). Let l(p) = 3*p**2. What is l(t(j))?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3\/7 - 912*u**2\/7 - 2241*u - 69498\/7.\nAnswer: -3*(u + 9)**2*(u + 286)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -1) + (4*1 - (412 - 441))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -12, -30, -80, -180, -348?\n\"Answer: -3*a**3 + 2*a**2 - 3*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4250001739 - -18122007215275\/4264. Let v = x - -1932\/41. Find the common denominator of v and -17\/52.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -15*y**4 - 415*y**3 - 3915*y**2 - 13365*y - 7290 = 0.\nAnswer: -9, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (((-80)\/(-212))\/(-5))\/((-59)\/((-1652)\/(-56)))\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6819085169558 + 0.8.\nAnswer: 6819085169558.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**3\/2 - 156*v**2 + 318*v.\nAnswer: -3*v*(v - 2)*(v + 106)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11107 - -11107. Solve p = 21*j - j + 80 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (7 - 16) + 1037\/170 and ((-31)\/(-10))\/((-6)\/15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*b + 1599 + 1350 + 126 = 372 for b.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 135347968 and 7238.\nAnswer: 1488827648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4\/1 + (-2 - -24) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one halves of a century in decades?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3534484.49598 - -0.184\nAnswer: 3534484.67998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - -1. Suppose -223 = 5*q - n*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23864 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 11*s**3 - 279090*s**2 + 228337*s + 50742 = 0. What is s?\nAnswer: -2\/11, 1, 25371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -90980, -90993, -91006?\n\"Answer: -13*s - 90967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75301 is divided by 1255.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (58*z - 16 - 29*z - 28*z)*(-1 + 5*z - 3*z - z).\nAnswer: z**2 - 17*z + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-1722))\/(434\/6076).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -75258426.5 to the nearest 1000000.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -107 + 108. Suppose 5*v + 3 - 13 = 0. Suppose 0*w = v*w - 4. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 2269*r - 2282. What is c(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -9664*p - 17254. Calculate d(-2).\nAnswer: 2074","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9369005*r**6 + 8455966*r**2 + r?\nAnswer: 1124280600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -400, -372, -344?\n\"Answer: 28*c - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 539150 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12004 is divided by 1994.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 8*h = 3*f - 33, 4*h - 4*f = 36. Solve -5*c = t - 15, t - 4*c + h = -0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22607\/9 + -2505. Let j(h) = -h**3 - 2*h**2 + 8*h + 1. Let v be j(-4). Find the common denominator of u and v\/12*(-936 + -8)\/8.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112 = 4*f - 4*a, f - 3*a = -a - 29. Let u = f - -27. What is x in -2\/3 + 2\/3*x**2 + u*x = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(147)*2*1.\nAnswer: -3 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*m - 10*m + 20. Suppose w - 9 = -5*x + 4, -w - 3*x = -9. What is the smallest common multiple of (13\/4 - m)*-4 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-2)*(-149 - -1). Suppose 10*b - 4*b = k. Let y = b + -29. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.5  (b) 417  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -481440.178 to the nearest 1000.\nAnswer: -481000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4046748634 to the nearest integer?\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x - 3*x**2 + 0*x**2 - 2*x + x**3. Let y be k(2). Suppose -2*q + 4*a + 24 = y, 2*a - 7*a + 25 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/6 - (-5694)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 9, j: 2, l: 2}. What is prob of picking 2 y?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 51*y**2 + 10217*y + 3386. Give g(-200).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5009, 20226, 45617, 81194, 126969, 182954, 249161, 325602?\n\"Answer: 2*k**3 + 5075*k**2 - 22*k - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.055?  (a) -2\/3  (b) 0.1  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -2. Suppose 2*o + 2*m = -r*o - 433574, 1083959 = -5*o + m. Let y = 93209 - o. What is y rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58598857 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 541 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g**2 - 3*g. Let r be v(2). Let f(o) = o**2 - 1. Let n(c) = c. Determine r*n(i) + f(i).\nAnswer: i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -329 - -334. Let s(y) = -3 - 2 - 6*y + y**2 + 1. Calculate s(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the first derivative of 15\/2*l**2 + 5\/72*l**4 - 19 - 1\/180*l**5 - 2\/9*l**3 + 0*l. Let p(r) be the second derivative of j(r). Factor p(q).\nAnswer: -(q - 4)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 19 = -2*u + 4*p, 4 = p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide (192\/240)\/(2\/3245)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 28 = a. Let u(q) = 8*q**2 - 8 + q**2 - 8*q**2 - 8. What is the remainder when 95 is divided by u(a)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/20*(57 + 61641\/(-1458))?\nAnswer: -53\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 252152340 (base 6) to base 15.\nAnswer: 662149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7735759 to the power of 1\/3, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 11:04 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 108145725?\nAnswer: 3, 5, 367, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25\/6*(-6)\/20?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10269 is divided by 2096.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**4 + q**4 + q**4)*(-q + 27545 + 2*q - 23709).\nAnswer: 2*q**5 + 7672*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggjjgggjgg. Give prob of picking 1 j and 2 g.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*q**2 - 3*q**2 + 3*q - 5*q - q to s*q + c + k*q**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -1, 1\/2, 0.01, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 2*h + 5. What is the tens digit of w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 1:14 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -4*w**2 - 3*w + 1. Let o be r(-1). Suppose 3*d + 4*d = -o*d. Suppose 3*t + 3*t = d. Is -3\/5 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/38*(10\/14 - 0). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*h - 94 = 306. Let g be 18\/h + -1 + 3800\/320. Calculate the highest common divisor of g and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -45 by 1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 519.9235 kilometers to nanometers.\nAnswer: 519923500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -58 - -109. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 910664.8kg to tonnes.\nAnswer: 910.6648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**2 + 61*b + 115. Give o(33).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21812, -43638, -65464, -87290, -109116?\nAnswer: -130942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 257 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 13  (b) 2\/3  (c) 0.05  (d) 1\/4  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -70.92618576 to zero decimal places.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/(s\/s**34))**(-15\/8))**(-2\/11))**(-32) assuming s is positive.\nAnswer: s**(-4080\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t + 2*t - 7*t - 1)*(-873*t + 666*t + 421*t + (4*t - 3*t - 3*t)*(-1 + 2 + 0) - 2*t - 4*t + 4*t).\nAnswer: -420*t**2 - 210*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(132)\/sqrt(3) + sqrt(44) + -5.\nAnswer: -5 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s = -10*s + 2656. List the prime factors of s.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 390\/19?  (a) -2\/117  (b) 1\/7  (c) -4  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 528*h + 520 + 8 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(125)*5 - (2*sqrt(125) + 0))**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -666*o - 6195 = -725*o. What is the greatest common divisor of 280 and o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -11  (b) 37  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/6)\/(((-22)\/12)\/(-11)). Suppose 0 = w*y + y - 2*a + 4, -y + 2*a = 8. Factor 16\/7*z**y + 6\/7*z**3 + 6\/7*z - 4\/7.\nAnswer: 2*(z + 1)*(z + 2)*(3*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -0*y. Let p be 4\/8*(0 + y). Do p and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 836\/7 + -120. Let n(x) = -x**3 - 6*x**2 - 7*x - 4. Let i be n(-5). Let j be i\/9*(3 - 12). What is the biggest value in -0.4, j, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 2*s - 5*s)*(0*s + 2*s + 0*s) - 14*s**2 + 1345*s + 5 - 1345*s.\nAnswer: -16*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -173 - -173.0000007. Round d to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/24 and -143\/276.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 - 16*i**2 + 16*i + 5. Let g be u(15). Find o, given that 27*o + 24*o + g*o - 75*o - 2*o**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 576330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 305 + 241 - 554 - 2*d**4 - 2*d**3 - 2*d**2 in the form x*d**2 + j*d + g*d**3 + t + k*d**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3*j**2 + 29*j + 171. What is g(-8)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*i + 5*i + d - 20, 3*i - 35 = 4*d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 7*l = -2*l + 17, -g = 5*l + 9. Let d(s) = s**2 + 3*s - 1. Give d(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1266517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 523 - 433. Is 1 - 15\/9 - (-166290)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 48*t - 6. Let r be q(1). What is the least common multiple of 36 and (r\/15)\/(13\/130)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 4:27 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 1285, -36, -4, 23 in decreasing order.\nAnswer: 1285, 23, 0.1, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 8*i + 3. Let y = -12 - -30. Let k = y + -11. What is the units digit of v(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, 2\/35, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4972.275 millilitres?\nAnswer: 4.972275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 128609 divided by 5?\nAnswer: 128609\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 60*r - 56*r + 29, 4*f = -3*r - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 21510 and 1434.\nAnswer: 21510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -265, 312, -24 in decreasing order.\nAnswer: 312, -1, -24, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pykkeeppykkkbppkpep. Give prob of sequence py.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -252  (b) -2  (c) 4  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 5 - 13 = 2*j, 3*j = 5*t - 16. Solve 0 = -y - t*r + 11, 0 = -4*y - 3*r - r + 28 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oipiioioio. What is prob of picking 3 o?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1251836 (base 9) to base 7.\nAnswer: -5545311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -86\/5145 and (-3)\/(-2) - (-53295)\/(-54264)?\nAnswer: 41160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {n: 9, u: 4, b: 3, w: 2, p: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(360)*2 - sqrt(360)) + sqrt(360))\/sqrt(6))\/(sqrt(84)\/(-2*sqrt(252))).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**0\/y)\/y)**(-11\/4)*y\/((y**1\/y)\/y)*y*y**(-1)*y)\/((y\/(y*y\/(y*(y*y**(-3\/8))\/y)))\/y*y\/(y\/y**(-6)*y))**7 assuming y is positive.\nAnswer: y**(537\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25226322 and 1815?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3321 or 3322?\nAnswer: 3322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(2736)*2 + 2 + sqrt(2736) + 4)**2.\nAnswer: 432*sqrt(19) + 24660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 7, i: 5, n: 8}. Give prob of picking 1 i and 1 l.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 + -2 - -9 - (11 + -24 + 13). Solve 3*c - 20 = -2*i - r, 4*c = -i + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26558\/7588*(-1)\/3*(-396)\/21.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -19966, -32887, -45808, -58729, -71650?\n\"Answer: -12921*x - 7045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -486 (base 11) to base 7.\nAnswer: -1454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 4 - 5 - 6*m - 11 - m**2 + 5. Let o be c(6). Let g be o\/(-30) - (-5)\/25. Which is greater: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7668 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of 0 + 189\/20*j**5 - 5\/6*j**4 + 74*j + 1\/6*j**3 + 0*j**2. What is the third derivative of x(r) wrt r?\nAnswer: 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*f = -88*f - 44*f + 1260 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55 - 3*h - 26 - 29.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**2)**(-6\/5)*a**(-13)*a*a**24)**(-37) assuming a is positive.\nAnswer: a**(-1776\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 1 + 29*d + 0 - 28*d. Let n(y) = -10*y - 10. Give -8*f(v) - n(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/15))**(-8\/9)*f**(-17)\/f*f**(-2\/21) assuming f is positive.\nAnswer: f**(-17044\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*-2*((sqrt(500) + -3 - sqrt(500) - sqrt(500)) + sqrt(500) + sqrt(500) + sqrt(500))*6)**2.\nAnswer: -432000*sqrt(5) + 7232400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 1. Suppose 5*b = -2*k + 14 + 10, -3*b = o*k - 18. What is the third derivative of -17*z**k - 5*z**2 + 4*z**2 + 6*z**4 wrt z?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 26856067.8359304 and -3.\nAnswer: 26856064.8359304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*f**3 - 44*f**3 - 184*f**3.\nAnswer: -217*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 103880580 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 5, 1006 in decreasing order.\nAnswer: 1006, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.5791  (b) -29  (c) 0.2  (d) -3\/4  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1002203 - -41?\nAnswer: -1002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-26 - -15) + 3 + 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -612*d*j**3 - 694*d*j**2 + 4*j**3 - 166*j**2 + 4*j + 7 with respect to d.\nAnswer: -612*j**3 - 694*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -73248, -73246, -73244, -73242, -73240?\n\"Answer: 2*i - 73250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/11, -2\/9, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 386?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 128 by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (64\/200)\/(6\/15). What is the nearest to -2\/11 in 0.1, 0.2, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 9*y - 32. Let j be l(4). Solve -8*b + j = -9*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-3 - -7) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-99)\/(-27) - (-2)\/(-3). Suppose 3*v - z = 4*x, x + 4*x + 2*v = 2. Let b(k) = -k + 8. What are the prime factors of b(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16054 and 414.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3*l**2 - 2*l**2 - 3*l**2. Let b(q) be the first derivative of -4\/3*q**3 + 0*q + 1 + 0*q**2. Calculate g(b(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -25311, -50613, -75911, -101205?\n\"Answer: 2*a**2 - 25308*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1880, 5, -1 in ascending order.\nAnswer: -1, 5, 1880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -j**3*v**2 + 6*j**3 - 360*j**2*v**2 + 47623*j*v**2 wrt j?\nAnswer: -6*j*v**2 + 36*j - 720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 68678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 4) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001748538 to 7 decimal places.\nAnswer: -0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 6*m**3 + 4*m**2 + 4*m. Suppose 2*h - 2*l = -16, -33*h - 12 = -29*h + l. Let u(f) = -5*f**3 - 3*f**2 - 3*f. Give h*u(q) - 3*d(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 606 and 95763453?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2869469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - -14 - -10 - (-3 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 2:28 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -165*n**2 + 13. Let u(w) be the first derivative of -w**3\/3 + 7378. Determine u(f(z)).\nAnswer: -27225*z**4 + 4290*z**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 48 - 38. Calculate the remainder when 15 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -11*y**2 - 94*y - 165. Let r be i(-6). Sort 50, 0, 5, r.\nAnswer: 0, r, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i**2 + 18*i + 17. Let g be c(-9). Suppose 5*t + 4*j - 38 = 0, g = 3*t - t + j. Factor 18*p + 7*p - 26 - 4*p**2 - p - t.\nAnswer: -4*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 409 is divided by 40.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 4:33 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 4 = -2*g, -z - 3*g = -4 + 2. Suppose -552 = -z*t + 5*t. What are the prime factors of (-12)\/54 + t\/(-18)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of -s**3\/3 - s - 1. Let y(x) = 4*x**2 - 557*x + 2 - 550*x + 1104*x. Give 2*o(t) + y(t).\nAnswer: 2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 6:50 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54493 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 4*w, 1 + 2 = d - 4*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -7*b**3 + 5*b**2 - 5*b. Suppose 6 = h + 2*h. Let s(p) = 3*p**3 - p**2 + 0*p**2 + 2*p - 2*p**2 + p**h. What is 6*j(q) + 15*s(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3601 less than -118584234?\nAnswer: -118584233.6399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 568150.9 - 0.2298315\nAnswer: 568150.6701685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 194400 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19957 = -39522*i + 39316*i - 2909 for i.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a day in hours?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -229\/1889580 and 239\/944790.\nAnswer: 1889580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -16406, -32698, -48880, -64952?\n\"Answer: 55*p**2 - 16457*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 239 divide 235310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6238 * 0.02.\nAnswer: -124.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, t: 2}. Give prob of picking 1 t and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1194466 is divided by 597227.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 32, 0, -3, 4 in decreasing order.\nAnswer: 32, 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*m = -0*m + 41*m - 4626477. What are the prime factors of m?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2 + 1. What are the prime factors of f(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -6*u + 4*u. Let v be (1*(-6)\/4)\/3. Let d = 4.6 - 5. Which is the nearest to u?  (a) v  (b) 2\/3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.39 + 1.3900695. What is t rounded to 6 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-7)\/14*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -3*p**3 - p - 2. Let n be z(-1). Let y = -2 - 1. Which is the nearest to 2\/7?  (a) n  (b) y  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 42757\/6 or 7127?\nAnswer: 7127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -4*l. Let u(x) = 28*x. Let s(v) = 20*m(v) + 3*u(v). Let k(p) = 2*p**2. Calculate s(k(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, -88, -293, -694, -1357, -2348?\nAnswer: -3733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/10 - (-8)\/(-20). Suppose 30*k - 27*k - 477 = d. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + 2)*(-41 + 2*r**5 + 41).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1358130859 - 1358130859 - 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s - 5. Let g be p(-5). Suppose r + 2*r + 6 = g. Let h be 10\/(-35) + (-1)\/(-7). Which is the third smallest value?  (a) h  (b) r  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.1 + 0.1. Let j = -3327\/8 + 416. Which is the nearest to g?  (a) -2\/15  (b) 0.5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 64, 133, 236, 373, 544?\n\"Answer: 17*u**2 + 18*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -7*y**2 + 5*y. Let k = 37 - 40. Let x(f) = 4*f**2 - 3*f. Determine k*m(s) - 5*x(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-38 - -1) + (268 - 246) - 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -38*w - 61. Determine r(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (26 + -2)*(2 - 3). Does 5 divide d\/(-2 + 0) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48353266 and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -810*y - y**2 + 810*y. Let i(x) = -28*x**2. What is i(g(b))?\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 8826060*h**3 + 0 + 1 + 8826027*h**3.\nAnswer: -33*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 30161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -9979 less than -1268259907?\nAnswer: -1268249928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 4*a - 5*a - 3*a**2 + 4*a + 3 + a**3 - 2. Let f be c(3). Suppose 3*b - f = 2. Solve -3*g + 7*g = 4*s - b, 3*s = -5*g - 37 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1808*t - 1879*t + 7294*t - 1852*t - 1860*t.\nAnswer: -105*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 1334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2256666 and 18.\nAnswer: 6769998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1\/(-1) - 3) + 103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66.609099 milliseconds to hours.\nAnswer: 0.0000185025275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*s + 12*s**2 - 12*s**2 - 14*s**2 in the form j*s + r*s**2 + z and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5447 + -2264. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 16 and 0.03.\nAnswer: 16.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 5*n + 2759, -5*i - 2*n + 3*n + 4613 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 10) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, 1, 93, 94 in decreasing order.\nAnswer: 94, 93, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*b - 26 + 26 + (2 + 2 - 6)*(-3 + 3 - 2*b) + 9*b + 10*b + 2*b)*(0*b**2 + 4*b**2 - 2*b**2) to the form h*b + r*b**3 + d + k*b**2 and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 2903.764 millimeters?\nAnswer: 290.3764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bmz when three letters picked without replacement from {m: 1, k: 2, z: 2, i: 1, b: 1, p: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41360.\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -w + 5*w. What are the prime factors of 158 + 4 - (w - 1)*3?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2174.6, 3\/4, -17, 0.5 in descending order.\nAnswer: 2174.6, 3\/4, 0.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a factor of ((74970\/(-12))\/17)\/(1*4\/(-200))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -142113, -142340, -142567, -142794, -143021?\nAnswer: -143248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 5*d + 837020 = -8*j, j - 5*d = -279020. What is j rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.076 - 0.076. Let r = 26 + x. Let s = r - 25.7. Which is the smallest value?  (a) -1  (b) -5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11748 = 756*m + 1104 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23092 is divided by 231?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 2*w + 0*w + (w - w - 2*w)*(3 - 2 + 3))*(-1 + 1 - 1).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y + 9. Let m be p(10). Let x(n) = -14*n. Let g be x(m). Let c = 37 - g. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**3 - 2*i**3 + 2*i**3)*(44*i - 13*i + 4*i)*(6 + 3 - 5)*(-2 - 8 + 5).\nAnswer: 1400*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 245 + -45. Let u be 4 + 2 + r\/4. Calculate the highest common factor of 168 and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t**2 + 1410*t - 5720 = 0. What is t?\nAnswer: -286, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 124621650.\nAnswer: 2, 3, 5, 163, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 147 or 0.16159?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = 2*r + r. Let z(c) = 14*c**3 + 17*c**2 + 3. Let a(b) = 5*b**3 + 6*b**2 + 1. Calculate r*a(n) + 6*z(n).\nAnswer: -n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5998000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - 8*j - 9. Let o be d(7). Let v be (-80)\/o + 6\/(-2). Suppose 16 = 4*a, -v*t = -a - 1782 - 3900. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 1 + -5 + (-8 - -8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/(-1))\/(4\/228). Let v = t + 135. Suppose -45 - v = -3*x. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -52*l + 10*l - 12 - 8 + 20 in the form r*l + p and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3264492903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-41)\/(-3) + -3 + (-2)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1649.\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-28) - (-800)\/14. Suppose -17*m + l = 2*m. Solve 0 = -4*r + m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10093.31253 minus -0.5?\nAnswer: -10092.81253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 2)*(-2*w - 2*w + 5*w)*(856*w**3 - 1668*w**3 + 835*w**3)*(6 - 2 - 3)*(-5*w + w + 2*w).\nAnswer: -46*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -597, -611, -667, -789, -1001, -1327, -1791, -2417?\nAnswer: -3229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 6.26995 and 1598846221.\nAnswer: 1598846227.26995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z - 5062*z**3 - 31*z**2 - 2*z + 5064*z**3.\nAnswer: 2*z**3 - 31*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/11)\/f*f)**(-2\/21)*f**6\/(f**(-3)\/f) assuming f is positive.\nAnswer: f**(2314\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 50.2 - -0.8. Let l = m - 56.2. What is l rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26 and 352937.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 3*k - 3, -2*n = 3*k - 30. What is the greatest common divisor of n and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 11*h**2 - 4*h - 4. Let g(y) be the first derivative of 11*y**3\/3 - 3*y**2\/2 - 3*y + 3. Let j(d) = 3*g(d) - 2*t(d). List the prime factors of j(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102)\/sqrt(6))**2*6 + (3*sqrt(17) + -5 - sqrt(17)) + -5)*4.\nAnswer: 8*sqrt(17) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c + 7. Let h be (-2 + -8)*((-3)\/(-6) - -2). Let k = 48 + -42. What is the lowest common multiple of v(h) and k?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9613009 is divided by 5182.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -284 - -650. Suppose 0*n = -4*t - n + 1519, -3*n = t - g. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 275d9 (base 14) to base 3.\nAnswer: 11221100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 + -11.2. Let n be 8\/(-20) - (-135)\/25. Which is the second biggest value?  (a) p  (b) n  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 391 and 4488255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b (base 12) to base 8.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11111011 - 10000011100111110101?\nAnswer: -10000011101011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - ((4 - 4) + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2*5*(-3 + (-3*sqrt(99)*-1 - sqrt(99) - ((1 + sqrt(99) + sqrt(99) + 0 + sqrt(99) - sqrt(99)) + sqrt(99)))))**2.\nAnswer: -57500 - 12000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, -34, -2\/11, -5, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (3165\/20 + -17)\/(((-7)\/4)\/(-7)) and 5?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1*-2*sqrt(204)*3*6)\/((sqrt(768) - (sqrt(768) - (sqrt(768) + sqrt(768) + -3*2*sqrt(768) + sqrt(768))))*6).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -256\/19 + 3811\/304. Calculate the common denominator of -9\/16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -5. Suppose 2*r - 6 + 0 = n. Let z be (1\/r)\/(4\/24). Solve -z = -3*x + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -383*p**3 - 16758 - p**2 + 16758 - 54*p wrt p?\nAnswer: -2298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 907285 divided by -181457\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n - 11*n + 4*n + 6*n - 53*n**3. Let k(r) = 3179*r**3 + 121*r. Calculate 2*k(p) + 121*m(p).\nAnswer: -55*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 44 - 62. Let w = -46135 + 1660717\/36. Find the common denominator of w and (-4)\/v - 2065\/(-90).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 3328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 + 6*o + 3. Let s be a(-6). Let k(p) = 2*p - 11. Let w be k(13). Let r be 1*s*w\/45. What is the highest common factor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000373276 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*o**3 - 17*o**3 + 89*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/4*1\/2. Let r(p) be the second derivative of p**6\/120 - p**5\/30 + p**3\/6 - p**2\/2 - p. Let b(u) be the first derivative of r(u). Determine b(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 58*i + 243. Let a(u) = 19*u + 91. Let t(o) = -8*a(o) + 3*f(o). Determine t(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 5*s**3 + 425*s**2 - 1310*s + 880 = 0?\nAnswer: -88, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*y = 26110 - 6937. Do -580 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 5202297, 10404593, 15606889, 20809185?\n\"Answer: 5202296*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*v + 37. Suppose 0 = -16*g + v*g - 20. Sort g, -5, 2 in descending order.\nAnswer: 2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 30\/31, -1, 5?\nAnswer: 30\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 156899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 669 a factor of 26654967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 145*n**4 - 17*n**2*x + 3*n*x - n - 5*x - 3 wrt n?\nAnswer: 1740*n**2 - 34*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 404819 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 40662747 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: Express (-1 - 2 + 2)*(0*h + 2*h - 4*h) - 5*h + 3*h + h - h + h + 2*h in the form v + a*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -79*z + 90*z + 99 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -691511, -691425, -691345, -691271, -691203?\n\"Answer: -3*u**2 + 95*u - 691603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7243 + -7236.838. Let d = -33.9 - -27.7. Let g = m + d. Round g to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 + 20*m**2 + 26*m + 39. Does 16 divide x(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3250.8 + 46.\nAnswer: 3296.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -17951.427607 to the nearest ten.\nAnswer: -17950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.8 and 82.6.\nAnswer: -66.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1780 - 6?\nAnswer: 1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 115*i**2 - 167*i + 19207. Calculate c(115).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 - 13. What is the remainder when q is divided by 129\/45 - (-2)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 2*b. Suppose -5*m - m = 0. Let j(c) = 11*c - 2*c + m*c. What is j(d(x))?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.104417mg to tonnes.\nAnswer: 0.000000006104417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -97\/65 + -1\/130. Put -2, -5, -1, f in descending order.\nAnswer: -1, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -44055, -89525, -134995, -180465, -225935, -271405?\n\"Answer: -45470*s + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -5*o + 98509, -2*o = 3*f - 4*f - 24628. Let a be 109016\/f*7\/(-14). Let i = 3\/3518 + a. What is the common denominator of -79\/4 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67300635?\nAnswer: 3, 5, 293, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1822*f + 28839 - 116668 - 50643 for f.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of 1\/21*c**7 + 0*c**5 + 0*c**4 + 0 + 41\/6*c**3 + 0*c**6 + 0*c + 30*c**2. Find the first derivative of f(v) wrt v.\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 150*3\/((-15)\/(-2)). Let i = p + 183. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 c when four letters picked without replacement from {q: 1, d: 7, m: 4, n: 1, o: 3, c: 2}?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18677859 to the nearest integer?\nAnswer: 4322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 9 - (16 + -8) - 331. Let v be (-2)\/(-20) + i\/(-1200). Factor v*z**4 - 3\/8*z**2 + 0 + 3\/4*z - 3\/4*z**3.\nAnswer: 3*z*(z - 2)*(z - 1)*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 46 = -2*s, s - 2*g = 20 + 4. Suppose -a - s = -6*a. Solve -k = k + a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/4)\/((-18)\/(-8))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 60046 - 0.2.\nAnswer: 60045.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -i - x - 12, 0 = 5*x - 25. What is the least common multiple of (1\/(14\/(-88)))\/((-338)\/1183) and i?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/671 and -63\/243125.\nAnswer: 163136875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 505129514?\nAnswer: 2, 43, 359, 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 15*f**2 - 37*f - 9. Calculate w(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of b**2*c**2*t**2 + 55*b**2*c**2 + 9*b**2*t**3 - 16*b*c*t**2 + 380*c**2*t**3 wrt t?\nAnswer: 54*b**2 + 2280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 42\/35 + -1 - 368\/(-10). Let s be (35 - y)\/((-8)\/3 - -2). Solve s*p - 12 = i, -3*i + 6 = 4*p - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 340270140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*(-3 + 4) - (-3 + 0). Suppose 0 = -d*p - 25, 4*w - 2*p - 18 = -0. Suppose 0 = -s - 5*b + 4*b + 10, -3*s = -5*b + w. Solve -25 = s*x - x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 80 + -147. Let q = 68.7 + g. What is q rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 121 = 56. Suppose 0*l - 2*l + 26 = 0. Calculate the greatest common factor of j and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -269.8 - -270.1. Which is the fourth smallest value?  (a) q  (b) -43  (c) 5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - -9. Let r = 42 + -5. Do x and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 55254699 and 1809?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8655 and 8783671?\nAnswer: 131755065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.5*1141.\nAnswer: 7416.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -3*b**2 + 7*b + 6. Give o(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4980 is divided by 887.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*r**3 - 10*r + 10*r**2 - 2*r**2 - 3*r - 11*r**2.\nAnswer: 18*r**3 - 3*r**2 - 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 126*b**5\/19 + 35914*b**4\/19 + 449574*b**3\/19 + 803878*b**2\/19 + 402060*b\/19 + 11968\/19 = 0. Calculate b.\nAnswer: -272, -11, -1, -2\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-650)\/150 - (8224\/(-1128) - -3).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(180) + -4 + 3.\nAnswer: -1 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n - l - 10, 24 = n + 4*n - 3*l. Suppose -n*x = -x - 20. Let q = 0.21 + 0.79. What is the second biggest value in q, -4\/7, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2122484439?\nAnswer: 3, 229, 3089497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oodopdoodoopdoodood. What is prob of picking 1 o and 1 p?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102120110 - 10?\nAnswer: 102120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 0.1, -2799438?\nAnswer: -2799438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 189904139 and 42936.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -71630*g**3 - 8537*g**2 - 3*g wrt g.\nAnswer: -429780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24746845891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*l - 2*l - 2*l + (0 + 0 - 2*l)*(-1 - 1 + 3) - 12 + 12 + 26*l)*(4 + 0 - 3) in the form h + u*l and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 26\/5 of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/141416 and -15\/102848.\nAnswer: 1131328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11\/2719 or 1?\nAnswer: 11\/2719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 10*t**4\/3 + 2906*t**3\/3 - 21878*t**2\/3 + 17242*t - 12516 = 0.\nAnswer: -298, 7\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of x**3\/3 - 7*x**2\/2 - 3*x + 4. Let m be p(8). Which is bigger: m or 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 21*l**2 - 1. Let q be u(-1). Suppose 6 = -p - q. Let a be (-5)\/10 - p\/36. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16 in 1, -37, -221, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13062 is divided by 13028?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 23*j**2 - 23*j - 21. Let h be s(24). Which is bigger: 6 or h?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -51*w**3 + 5 - 240*w + 97*w**3 - 48*w**3 - 5*w**2 - 4*w**2 + 10*w**2 to a*w + j*w**3 + i*w**2 + c and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 1352 + 2\/9*i**2 - 104\/3*i = 0. Calculate i.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53.19713 nanometers to micrometers.\nAnswer: 0.05319713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1049669 a multiple of 1644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-320*j - 333*j + 756*j)*(-3 + 3 - 2*j) in the form t*j**2 + o*j + g and give t.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {r: 3, j: 2, p: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 18070 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 90 + -81. Solve w*a - 11*a = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*m**2 + 4*m**2 - 4*m**2 + (2*m - 2*m + 2*m)*(2*m - 4*m + m) + 4*m**2 + 4*m**2 - 7*m**2 - m**2 + m**2 + 2*m**2 + m**2 + 2*m**2 + 0*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/((-242)\/(-55)))\/(((-390)\/(-72))\/(-13)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (517\/141)\/(22\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 1)*(1 + 6 - 3)*(-b**2 - 2*b**2 - 3*b**2).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j - 21. Let p be o(15). Let b be 3\/p - (-15)\/9. Suppose -2*u - b = -14. What is the highest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 14*z**3 + 4*z - 3. Let i be u(2). Let p = 15 - -14. Suppose 6*f - 49 = p. Calculate the highest common factor of f and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 46667*l**3 - 357*l - 110.\nAnswer: 280002*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -218*r - 182*r - 185*r + 777*r - 175*r.\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -18.02.\nAnswer: 3.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k + 4. Let l be d(-2). Differentiate -1 + y**l - 1 + 4 + y**2 wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -46 - -54. Let d be (k\/(-6))\/(2\/(-3)). Solve 1 = -d*n + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -162, -0.3, -3, 0, 0.05, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1837*j**2 + 2*j - 1821*j**2 - 4*j to the form x + g*j + m*j**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -23161 and -0.07.\nAnswer: -23161.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-2460)\/(-420) + -10 + -1).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 at most as big as 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14704 is divided by 663.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*((-653)\/3918 - (1 - 14\/(-6))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.4, 0.3, 3, -1.9, -0.5?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 587081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 78.132 + -78. Let f = 0.132001228 - o. What is f rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/14)\/((-3)\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1473?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in five eighths of a day?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 13. Suppose m*w - 5*w + 2*y + 41 = 0, 2*y = -2. Is w 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 (-48 + 42)\/(6*(-4)\/77776)?\nAnswer: 2, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 56634  (b) -3  (c) 0.5  (d) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 320010553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11380 - -11432. Calculate the greatest common divisor of 533 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 - 6*r**2 - 36*r + 12. What is k(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(8) + -4.\nAnswer: -4 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1881 - -2690. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 4*q**3 - 5*q**2 + 3*q - 8. Is 15 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39*r**3 - 31*r + 29*r**3 - 36*r**3 wrt r.\nAnswer: 192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(81)\/((sqrt(3) - (2*sqrt(300) + sqrt(3)) - sqrt(3)) + sqrt(3)))\/(sqrt(18)\/(-3*sqrt(18))) + -3.\nAnswer: -3 + 9*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 483935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1d363 - -2?\nAnswer: -1d361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -2*b**4 - 2*b**3 + 2*b**2 + 21*b + 23. Let l(p) = 4*p**4 + 3*p**3 - 3*p**2 - 20*p - 23. Let q(x) = -2*l(x) - 3*v(x). Differentiate q(s) wrt s.\nAnswer: -8*s**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 21*f**2 + 4*f + 3. Let q be h(-1). Let i be (q\/(-15) + 1)\/(-1). Factor -i + 0*s + 1\/3*s**2.\nAnswer: (s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -876590838, -1753181677, -2629772516, -3506363355?\nAnswer: -4382954194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 528 and 816.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r - 1. Let f(v) = -11*v + 39. Determine f(d) - 3*s(d).\nAnswer: -5*d + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 40 + -6. Suppose z = p + 46. Let u(q) = -q**2 - 11*q. Calculate u(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 20, -3*d = -0*c - 4*c + 129. Suppose -11*g + 17*g = c. Let y(k) = -k**2 + 5*k - 4. Let a be y(3). Solve 0*o = a*o + g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 73 + -68. Let b(s) be the first derivative of -1\/2*s**2 + t - s. Give b(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 788, 2512, 4236, 5960?\nAnswer: 7684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/5)\/(12\/30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -622944, -1245895, -1868846, -2491797, -3114748?\nAnswer: -3737699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6222 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 930\/(-3410) - (-552)\/(-33)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 19845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 + (-324)\/(-100))\/((-133)\/665).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 4:28 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1141 = -3*a - 4*i + 5*i, -4*i = -3*a + 1144. Calculate the greatest common factor of a and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 + -28 + -2)*10\/(-3). Let d = -82 + r. Calculate the greatest common factor of 28 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 11*q**2 + 132*q - 8. Give d(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b**3 + 10*b**3 + 0*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (226*f - 2*f**2 + 847*f - 1559*f)*(-f - 4*f + 2*f).\nAnswer: 6*f**3 + 1458*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (84\/14)\/((-8)\/((-256)\/12))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/(-3) - 3\/(-9). Suppose l*j + 0*j - 4 = 0. Is j*(17\/2 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7185024 and 352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 11) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-1)*6\/(-9). Let k be (3 - 7)\/o + 1. Let x(u) = -u + 3. Let p be x(6). Is p >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10966?\nAnswer: 2, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c**3 + 2*c**5 + 2*c**3 + (110 - 723 - 496)*(-c + c - c**5).\nAnswer: 1111*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -38 + 54. Let b be (-8)\/i + 10\/4. Calculate the highest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -2*y + 83, -4*s + 15 = -9*s. Calculate the remainder when y is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -74, -3, 13 in decreasing order.\nAnswer: 13, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 396\/16 - 2\/(-8). What is the second derivative of 4*m**3 - 33*m**5 - 3*m + d*m**5 - 4*m**3 wrt m?\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89 + 84 - 28 + 33*n**2 - 45*n**2.\nAnswer: -12*n**2 + 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*(-4 - 35\/(-10)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*p**3 - 318*p**3 + 27*p**3 + 248*p**3.\nAnswer: -23*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q - 555*q**2 - 257*q**3 + 1119*q**2 - 236*q**3 - 564*q**2.\nAnswer: -493*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 2*n**3\/11 - 1788*n**2\/11 - 838718*n\/11 + 3383352\/11 = 0.\nAnswer: -343, 4, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -205 minus 1370?\nAnswer: -1575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h**2 + 38*h - 22. Let i(z) = -22*z**2 + 389*z - 220. Let w(t) = 2*i(t) - 21*n(t). Factor w(k).\nAnswer: -2*(k - 1)*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 44 = -28. Let w be l + (-7)\/(28\/16). What is the second derivative of -5*b + 5*b**w - 4*b**5 + 11*b wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23, -36, -61, -104, -171, -268, -401, -576?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 68 - (-2 - -1) - (-63 + 63). Suppose k = -36*v - 3. Let s(d) = d**3 - d + 1. Let j be s(-2). Sort -11, j, v.\nAnswer: -11, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59669869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -71*q**2 + 258*q - 14. Calculate v(3).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4a7 - -b3?\nAnswer: -3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 234595957*i**3 - 247*i**2 + 255900.\nAnswer: 1407575742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 105*a - 45. List the prime factors of j(3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6349833?\nAnswer: 3, 7, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 507, -1, 308, -0.09, -5, -0.4 in decreasing order.\nAnswer: 507, 308, -0.09, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/1351170368 and -25\/12.\nAnswer: 4053511104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 1, 0 in descending order.\nAnswer: 1, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 10:41 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 2*m - 2, 2*m = v + 525. Let i = v - -5803\/11. Suppose 5*f + n - 7 = 2*f, -3*n - 7 = -5*f. Is f at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*m**5 - 120*m**4 + 101*m**2 + 73 wrt m?\nAnswer: -600*m**2 - 2880*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 29*f**4 - 3*f**3 + 12*f + 0*f**2 + 27*f**4 - 87*f**4 + 28*f**4 + 12*f**2.\nAnswer: -3*f*(f - 2)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3589 * 160\nAnswer: 57.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 31*b - 83. Calculate q(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.211 - -0.111. Let g = -4.3 - -4.4. Which is the closest to m?  (a) g  (b) 0.5  (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0*y**6\/y)\/(y*y*y**(3\/5)*y*y**(-6\/5)))\/((y**(2\/3))**(10\/11))**(-5) assuming y is positive.\nAnswer: y**(929\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h**2 - 87 + h**2 + 87.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {s: 2, d: 3, f: 1, x: 6, o: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -5*k + w, 3*k - 15 = 5*w + 8. Let f be 8\/k*10\/40. Factor 0 - 1\/3*d**2 - 2\/3*d + f*d**3.\nAnswer: d*(d - 2)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 337 = 110*w - 147*w - 107 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 2, -4, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 5*q**2 - 360*q + 6435 = 0.\nAnswer: 33, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6*(6\/4)\/3. Let o = a + -1. What is the remainder when 5 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w + i - 7, -i = 12*w - 8*w + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + -2. Let o = i + 4. Suppose m = o*k - 5, 4*k - 18 + 7 = -3*m. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 939566.7 minutes to days.\nAnswer: 652.476875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 466607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1178904 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/h**(-10))\/(h*h\/(h**(3\/10)\/h)))\/(h\/((((h*h**4)\/h)\/h)\/h*h))**(-1\/17))**16 assuming h is positive.\nAnswer: h**(11128\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176)*-5)\/sqrt(8) - sqrt(550)*5)\/(sqrt(77)\/(sqrt(42)\/sqrt(6)*-3)*1).\nAnswer: 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 4:15 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1576 greater than or equal to 1576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 146935.887 hours in weeks?\nAnswer: 874.618375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 60416 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of 0*o**5 + 0 + 0*o**3 + 7*o + 6*o**2 + 19\/30*o**6 + 0*o**4. Differentiate a(v) wrt v.\nAnswer: 76*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(512) - sqrt(8) - sqrt(8)) + sqrt(800))\/((sqrt(576) + 3*sqrt(576) - sqrt(576)) + sqrt(576) + sqrt(4) + sqrt(2560)\/sqrt(10))*3.\nAnswer: 24*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/((-5)\/60) - (-1 + 2). Let v(z) = z**3 + 14*z**2 + 11*z - 22. Let b be v(x). Solve b*g - 9 = -1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, r: 3, f: 1, v: 4, l: 1, m: 2}. Give prob of picking 1 v, 1 f, and 1 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 31398 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: b\"What is the jth term of -2212, -2284, -2312, -2296, -2236, -2132?\n\"Answer: 22*j**2 - 138*j - 2096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17 by -12.\nAnswer: 17\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -34?  (a) 4  (b) 297  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h. Let l be y(0). Let r(v) = -v**2 - 56*v + 589. Let i be r(-65). Suppose 2*m = 6*m - 8. Sort m, i, l.\nAnswer: l, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -4*l + 149. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 207 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m\/((m\/(m**(-1)\/m*m))\/m))**(1\/14))**31 assuming m is positive.\nAnswer: m**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 + -9. Let v = 31 + o. Solve 4*s - 2*i = v, -5*i - 5 = s + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j + 17. Let k be (-42)\/28 - 14\/4. Let b be p(k). Calculate the common denominator of -45\/8 and (34\/(-16))\/(2\/b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5264\/6 - ((-70)\/15 - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 + 5. Do k and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -2*m**2 + 3*m**3 - 3270 - 3*m**3 - 13*m + 43*m + 3246 - m**3. Let u be j(-7). Solve -v = 3*l, l + 3*v = -v - u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2371 a factor of 20205643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 33*y - 1295. Let s be ((-1)\/((-1)\/(-4)))\/(-1). Let k = y - s. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 3:32 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8459?\nAnswer: 11, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*j*u**3 - 2*j - 14904*u**3 + 46*u**2 + 2*u + 37954812 wrt u.\nAnswer: 24*j*u - 89424*u + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/5, 1.2, -19, 0.5 in increasing order.\nAnswer: -19, 0.5, 4\/5, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000014443 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5148182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 19, 19, 17, 13?\n\"Answer: -k**2 + 3*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -208100 to the nearest 10000.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v - 29. Let f be l(-22). Let w = 3 - 3. What is the second biggest value in w, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.5645 - -0.50519. Let d = 0.058 + p. What is d rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30955 and 37297?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*n = -210 + 161 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2*o - 16 = 0, -5*l = -2*o + 4*o - 40. Solve 0*u - 2*u + l = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 12:16 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -78.26509 to one decimal place.\nAnswer: -78.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, x: 1, n: 1, i: 1, h: 4}. Give prob of picking 1 n and 1 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1890)\/(-135)*(-8)\/(-80)*-5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 13) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/17  (b) 2\/9  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 331*b - b**4 + b**3 + b**2 - 2 - 3*b**2 - 332*b + 2*b**3 as t + n*b**4 + j*b**2 + g*b**3 + x*b and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1.1  (b) -7  (c) -5  (d) -3  (e) 1  (f) 0.1  (g) 28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6785 + 30198. What are the prime factors of d?\nAnswer: 13, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.5 - 0.3. Let g = -0.3 - w. Let x = 19\/3 + -56\/9. Which is the nearest to 0?  (a) x  (b) 0.1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/6  (b) 0.1  (c) 0  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -395 - -586. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + -5. Suppose f*t = 4*t - 12. Suppose s = 2*z - 0*s - 13, 4*z - 14 = -2*s. Solve -t*n + z = -7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4089\/7, 1\/35, 2, -0.3, 3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 205 = 7*s - 2*s. Let a = -22 + s. Calculate the greatest common divisor of 19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (4 + (0 - 7 - -1))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 92\/3  (b) 3  (c) 30  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 186875*q - 314520*q + 6 - 5.\nAnswer: -501395*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 56 - 14593?\nAnswer: -1453a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 6*i**2 + 2*i + 2. Let x = 48 - 27. Suppose 0 = -3*n + 5*y - 23, 2*n - 4 = 5*y - x. Determine p(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66125000 = -12*r + 7*r. What is r rounded to the nearest one hundred thousand?\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5037 and -0.1.\nAnswer: -503.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(1\/5)*k**(-1\/4)*k*(k**(-2\/3))**(-9) assuming k is positive.\nAnswer: k**(139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**(2\/15)*y*y\/((y*y**10)\/y)*y*y)**(-35))**(-2\/49))**(-40) assuming y is positive.\nAnswer: y**(880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19594 = 17*h + 5331. Does h = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 514*l**3*m**4 - 1660*l**3 wrt m.\nAnswer: 2056*l**3*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - 113?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.86 rounded to one dp?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1812359326.\nAnswer: 2, 41, 1559, 14177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-522)\/(-27))\/(-29)*-12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 3) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-88 + 45 + n**2 + 2*n**5 + 45)*(1 + 3 - 2).\nAnswer: 4*n**5 + 2*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -190514, -190520, -190538, -190574, -190634, -190724, -190850?\nAnswer: -191018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-16))**3 assuming g is positive.\nAnswer: g**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.415872 to two decimal places.\nAnswer: -1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*c + 4*c - 4*c)*(0*c - 39*c - 5*c) to m + d*c + s*c**2 and give s.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6538, 3, 0, -3 in descending order.\nAnswer: 6538, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m + 0*m - 2*m)*(-14*m + 14*m - 4*m**2) + (3*m**2 - m**2 - m**2)*(-21*m + 9*m - 24*m).\nAnswer: -44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 - 5*t**2 - t + 7. Suppose -4*f = -b - 6, -3*b - 2*b + 3*f = -21. Does 27 divide a(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -5844 - ((2\/3)\/(9\/(-27)) - -7). Are -5849 and h nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -0.15, -0.17, -2\/1371, -4, -3\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7477412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w**(3\/10)*w))\/(w**(-2\/19)\/w)*w\/(((w\/(w*w**(-7\/11)*w))\/w)\/w)*w**22 assuming w is positive.\nAnswer: w**(54693\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*4672\/4 + (-1 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 - (4 + -8 - -2). What is the tens digit of (-12)\/m*(0 + -23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 701 = 111. Let s = 5680\/7 + g. Sort 1.3, 2, s in increasing order.\nAnswer: s, 1.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2553 - -5540125?\nAnswer: 5533132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.06 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 12637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 6*k**2 - 3*k + 5. Suppose -2*d - 11 = 3. Let q be r(d). Is q\/(-2) - 3\/(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -8 and -39339717.\nAnswer: -39339725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 1025.886 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 296612?\nAnswer: 2, 29, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z**3 + 3*z**3 - 2*z**4 + 2*z**3)*(7*z - 18*z + 8*z + (0*z - z + 2*z)*(-1 + 4 - 4) + 3 - 3 - 2*z + 0*z - 2*z + z).\nAnswer: 14*z**5 - 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*f**3 + 6*f**3 - 7*f**3 - 7*f + 6*f.\nAnswer: 28*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/((-9)\/(-30)))\/((-8)\/(-20)). Let i = w - -30. Solve 0*f + i = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/7))**(-4) assuming d is positive.\nAnswer: d**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.363 - -0.2.\nAnswer: -0.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 62.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -280 = -4*h + 16. Calculate the remainder when h is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 2*f = 2*q - 102, 4*f = 4*q - 196. Suppose q*c = 38*c + 270. What is the remainder when c is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gooooooohogooo. Give prob of sequence ooog.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12538 - 3952. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 162\/729*(-45)\/1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*j - 4 - 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**2 - 4*j - 5. Suppose 0 = 2*l - 4, -2*l - 13 = -4*z - 5. Let n(i) = -3*i**2 + 5*i + 6. Determine z*n(p) + 4*g(p).\nAnswer: -p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*s = 11*s - 128979. Is s a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 11.4811 and 774?\nAnswer: 8886.3714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most -2\/6865483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -173*h**2 + 62*h + 64. What is t(-1)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Does 118 divide 144853039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of -z**6\/90 + z**5\/30 + z**4\/12 - 2*z**3\/9 - 2*z**2 - z + 74. Let u(n) be the second derivative of x(n). Factor u(k).\nAnswer: -2*(k - 2)*(k + 1)*(2*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 n, and 1 k when three letters picked without replacement from {n: 3, f: 2, p: 1, d: 1, a: 3, k: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -9. Suppose 2*d = -8, -o*w = -3*w - 5*d + 80. Suppose 0 = -18*g - 81 - 261. Which is bigger: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 - -2. Let t = -9.08 + 6.2. Let i = -0.12 + t. What is the closest to f in 2, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 33\/44398 and -91\/18.\nAnswer: 399582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/157 in -1\/17, -3, 0.2, 0.4, 73?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times 0.0995157\nAnswer: -0.03980628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3*x**2 + 15*x + 12. Let z(f) = -f**2 - 6*f - 5. Let m(b) = -5*a(b) - 12*z(b). Determine n so that m(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1058715064, -1058715060, -1058715054, -1058715046?\nAnswer: -1058715036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -26 - -16. Let i = r - -14. Let l = -392 + 391. What is the nearest to 0.2 in l, i, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of 3*q**4\/2 + 2*q**3\/3 - 3*q**2\/2 + 7*q - 58. What is the tens digit of y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 23 - (-13 - -25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 65, -196, -13 in descending order.\nAnswer: 65, -13, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 6 + -4 - (-5 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*m - 4225 = 186*m + 409 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -3209*a + 3208*a - 6*a**3 + 90*a**4 - 12*a**2 + 22*a**2 - 10*a**2 in the form i + o*a + h*a**3 + z*a**4 + g*a**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 79847 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*t - 205*t + 2400 = 0. Let f = -2.96 - 0.04. Which is the biggest value?  (a) f  (b) -5  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/sqrt(48) + (sqrt(35)\/(sqrt(30)\/sqrt(6)))**2.\nAnswer: sqrt(7)\/4 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 656780 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b**3 + 155*b**2 + 2812*b - 2197. Calculate g(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/((-11)\/((-132)\/(-20))))\/(3\/(-15)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 25*j**3 + 48*j**2 - 29*j + 5. Let o(q) = -1 + 3 + 13*q**3 + 0*q + 24*q**2 - 11*q - 3*q. Let t(k) = -5*o(k) + 2*v(k). Suppose t(x) = 0. Calculate x.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -0.5, 1292?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 306697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -15\/188 and (-357)\/(-168) + (7 - 2).\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 31*r**3 + r**2 + r + 1. Let l be p(-1). Let g = l - -33. Let q(s) = 6*s - 5*s - g*s. Let w(m) = 15*m**2. What is w(q(x))?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 25, 35, 45, 55, 65, 75?\n\"Answer: 10*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 839375 is divided by 6769.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 34720 and 6145440?\nAnswer: 6145440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 3:47 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1265 divided by -253?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3 + 9 + 7*k**4 + 0 - 2 wrt k?\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2160 by -3.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 + 7*g**2 - g - 9. Let q be n(-7). Let w = q - -2. Let y be 1*-2 - (-15 - -3). Solve -k - k + y = w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 120 - 72 = 0. Let j = 142 + x. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 0*t - 51. Suppose -2*m - 13 = 23. Let y = t + m. Sort y, -3, -5.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-30)*-3*8\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 40 divided by 628\nAnswer: 10\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of -i**10\/15120 + i**9\/3024 - i**8\/1680 + i**7\/2520 + i**4\/12 + 3*i. Let l(x) be the third derivative of q(x). Factor l(u).\nAnswer: -u**2*(u - 1)**2*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dnnedndqnendndddn. What is prob of sequence en?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 4*u - 19 = 0, 5075*u + 13 = -5*h + 5077*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 - 8. Suppose 0 = -p + b*p - 10. Suppose p*k - 5 = k. Solve 0 = -k*m + 7 - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -2*o. Suppose o = -m - 3, 2*m = -f - 0*m - 2. Calculate the greatest common factor of f and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*0.04422583\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 78, -3\/4, 21, 2\/7, 1\/31?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -4*k. Let g(q) = -423417*q. What is g(l(j))?\nAnswer: 1693668*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/200 and -63\/50?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 1\/3  (b) 16  (c) 3\/2  (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 204\/(-24))*112\/36.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163233508?\nAnswer: 2, 40808377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 2*o, 2*v - 6*v = 4*o + 4. Let j(y) = 2 - v + 61*y + 2 - 64*y. Give j(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2639494997 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**18\/(a**(-18)*a))\/(a*a*a**(-3)*a)**(-2\/151) assuming a is positive.\nAnswer: a**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6264661 and 676.\nAnswer: 25058644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154464 is divided by 7975.\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3715.1 * 0.3488.\nAnswer: 1295.82688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 2*o + 4. Let z be v(-4). Let q = 3 + 2. Which is the closest to -2?  (a) 0.5  (b) z  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 divided by 1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of 3 + 0*c + 1\/7*c**2 + 4\/21*c**3 + 1\/14*c**4. Factor f(n).\nAnswer: 2*n*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2325?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -4*x + 2*s - 21044, -x - 3*s = 5261. Which is smaller: x or -5260?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 573 and 67996.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 196 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 255656536 (base 7) to base 16\nAnswer: f97e13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -2*t**2 - t - 4. Let s be b(6). Let d = s + 48. Let p = 48 + d. What is the remainder when 95 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -51465b2 + 3?\nAnswer: -51465ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17.46 - -16.96. Let i = 0 - 2. Which is the nearest to i?  (a) 0.1  (b) t  (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -210 + 459*o + 11 - 155 - 511 wrt o?\nAnswer: 459","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -61654023 - 5?\nAnswer: -61654028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 15\/3 - (-8)\/4. Let b(g) = -2*g - 9. Let j(u) = 3*u + 14. Let h(c) = f*b(c) + 5*j(c). Give h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 3 + 4*sqrt(2448) + sqrt(2448) - (sqrt(2448) - -1*(sqrt(2448) - -2*sqrt(2448) - sqrt(2448)))*6)**2.\nAnswer: -624*sqrt(17) + 413716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, j: 5}. What is prob of sequence jjj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -34831, -139315, -313461, -557275, -870763?\n\"Answer: -y**3 - 34825*y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-45)\/(-75))\/((-96)\/5240))\/((5\/(-4))\/(-5))?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**0\/f)\/((f*(f*f**(1\/6)*f)\/f*f)\/f)*f**(-12)*f**(-8) assuming f is positive.\nAnswer: f**(-139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13280?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4279 = 54*f + 4171 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.023063196 to 5 dps.\nAnswer: -0.02306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8 - -2. Let d = -3 - b. Solve -j + 8 = -2*i, 0 = -3*j + d*i + 11 + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72130.1 less than 12?\nAnswer: -72118.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6692.2 less than 44?\nAnswer: 6736.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(396) + 0 + sqrt(396))**2 - -4*sqrt(1584)*-5.\nAnswer: -360*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.06 - 2.06. Let q = -0.3 - -2.3. Which is the closest to 0.2?  (a) u  (b) 0.2  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - 12) + 3 - 0 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 15*a**2 - a. Let v = 103 - 50. What is the remainder when v is divided by f(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2159704\/36 + 6\/27. Suppose h + 2*z - 20008 = 0, 0*h + 3*h - 2*z - c = 0. What is h rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17 - 41 + 24 - 2572*a + 2*a + 2*a - 3*a + (0 - 1 + 0)*(-2*a - 2*a + 2*a).\nAnswer: -2569*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 = -0*q - 2*q. Let v = q - 179\/3. Let b = -0.0605 + -1.9395. Put -5, v, b in descending order.\nAnswer: v, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53388.\nAnswer: 2, 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*u - 407*u**2 + 20*u + 24*u.\nAnswer: -407*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**2 + 6*a + 9. Let d be f(-5). Suppose d*g + 5*k = 25, -2*k = -k - 5. Suppose 2*c - 102 = -3*r, r + 3*r - 2*c - 150 = g. Is r a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of f**4\/12 + f**3\/3 + f**2. Let m(d) = 15*d - 107*d**2 + 44*d**2 + 59*d**2 - 15*d. Calculate h(m(a)).\nAnswer: -8*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 327000*n + 13405 = 327383*n for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 6:51 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 7*o**2 + 1 + 5 - 3 - 4.\nAnswer: -7*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 16904852297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 368056 and 312.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-189)\/(-9))\/(-2 - -1). Let i be 2\/7 + 90\/b. Let n be 495999\/i - (-1)\/(-4). Round n to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, q: 3, g: 1}. Give prob of sequence qgqd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g**2 - 12*g**2 + 19*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 506*y = 504*y + 3*i + 127, 286 = 5*y - 3*i. What is the remainder when 509 is divided by y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/360 and -91\/552?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -84 - 272136*f**3 - 2*f**4 - 2*f**2 - f**4 + 272134*f**3 + 4*f**2 as m*f**4 + g*f**2 + w + v*f + t*f**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes before 3:39 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkqkxbmxk. Give prob of sequence xmq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 369 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 29*((-1)\/2 - 3\/(-2)). Let w = -24 + n. Calculate the greatest common divisor of w and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -2*x + 12. Suppose 6*o - 2*o = -8. Let u be -6*o\/(-4) - -33. Calculate the highest common factor of x and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 2*v, 4*v - v = 2*d. Suppose d = 6*g - 5681593 - 1398713. Suppose w - g = 2119949. What is w rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-3 - -16)) + 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(5) + -4*(sqrt(5) + -3) - ((2 + sqrt(500) - sqrt(5)) + (sqrt(75)\/sqrt(3))\/sqrt(5))**2)*6.\nAnswer: -2946 - 258*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 22\/(-6) - (-20)\/4\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 PM and 10:20 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 14233 - 1203?\nAnswer: 13030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5577254*f*o + 23619713*f with respect to o.\nAnswer: -5577254*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*-2*5\/(-2). Let l(a) be the first derivative of -a**4\/4 + 4*a**3\/3 + 3*a**2 - a + 2. What is the remainder when 10 is divided by l(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 + -6 - -4) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 396\/(-88)*(-2)\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/28 and -49\/402.\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -121\/189 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/5180 and 6\/595?\nAnswer: 88060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2 + 3048*y - 354842. Determine d(127).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -5*n**2 + 3*n - 4. Let g(m) be the third derivative of -m**5\/10 + m**4\/6 - 5*m**3\/6 + 11*m**2. Calculate 3*g(h) - 4*w(h).\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -165093*y - 97273*y + 4*y**2 - 3*y**2 - 44859*y.\nAnswer: y**2 - 307225*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 58*d**2 - 7. Let r(c) = 29*c**2 - 3. Let a be (-10 - -13)*(4 - 3\/1). What is a*z(l) - 7*r(l)?\nAnswer: -29*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/2 - 2) + (-4)\/(-56).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18926 - 94629\/5. Let g be 6\/1*(18\/(-10))\/(-3). Factor -g*t - 81\/5 - h*t**2.\nAnswer: -(t + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-20)*(-6)\/((-126)\/35).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hzz when three letters picked without replacement from zhhhzzzvhzvh?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 87 = d, 5*d + v - 259 = 192. Suppose -d = -9*l + 27. Solve l*i = 3*i + 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 91\nAnswer: -9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*x**2 - 5 - 8 - 20*x**3 - 3 + 15 in the form q*x**3 + z*x**2 + t*x + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -10*p**3 + 5*p - 1. Let t(a) = 15*a**3 - 7*a + 2. Let h(l) = -7*b(l) - 5*t(l). Differentiate h(s) with respect to s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 7816880691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2322 - 2322.00005895. Round g to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 147*a**4 + 0*a**3 - 60 + 5*a**2 + 60 + 2*a + 0*a**3 wrt a.\nAnswer: 3528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24\/1*12*(-1)\/(-36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65445594.\nAnswer: 2, 3, 41, 223, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2*sqrt(66)*1)\/(sqrt(384)*2).\nAnswer: -sqrt(11)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 41, 33, -11, -103, -255, -479?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 655241 is divided by 116.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**3\/17 - 336*c**2\/17 + 12672*c\/17 + 123904\/17 = 0. What is c?\nAnswer: -8, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 + 11*p**2 - 40*p + 14. Let o be j(-14). Let k be (-16)\/10*(441\/o - -9). What is the greatest common factor of k and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-86)\/(-3)*1\/(-2). Let b = s - -15. Factor b + 0*i**2 + 1\/3*i**3 - i.\nAnswer: (i - 1)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 3*k**2 + 2*k - 5. Let g(f) = -f - 5. Let v be g(0). Let i be c(v). Let z = i + -39. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 4:51 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 66 + 14*y**4 - 18*y**2 - 66 wrt y.\nAnswer: 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*n - 2102 - 1097. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 122 = -2*j, 122 = j + j - 5*x. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -28\/11 and 50\/52709513.\nAnswer: 579804643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 48520000 rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 27100 and 24390?\nAnswer: 243900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 - -13.952. Let r = h + 0.548. Let g = -1.311 + 0.011. Which is the second biggest value?  (a) 2\/21  (b) g  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96 is divided by 78.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 PM and 2:03 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q + 13*q - 5*q - 8*l = 39 - 11, l + 12 = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 93630 divided by -1?\nAnswer: -93630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/9 + 7\/9. Let g be 1314\/78 + 2\/13. Suppose 7*t + 45 = g. Which is the closest to -1\/3?  (a) t  (b) o  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (10 - 17 - -11 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z**3 - 4*z**2 + 3*z + 2. Let m(a) = 7*a**3 + 7*a**2 - 6*a - 5. Determine 5*i(l) + 2*m(l).\nAnswer: -l**3 - 6*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-1*-1*sqrt(15))\/sqrt(5))**2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2948609732 + 2948609490.9999602. Let s = 241 + l. Round s to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 253247295 a multiple of 3477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/6)\/(0 + 2). Let t = 10 + -7. Let x be (12\/14)\/((-9)\/(-14)). What is the smallest value in r, x, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5454806, -5454805, -5454804, -5454803, -5454802, -5454801?\nAnswer: -5454800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is 808304 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 53) + (12 - (-19 + 1 + 7 - -18)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 215 - 126. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3\/1*3\/18*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + -1. Let i(u) = 32*u**2 + 5*u + 5. Let s be i(-1). Is t not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 - 3*b**2 - 8*b + 16. Let u be k(4). Let a = u - -29. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*x - 36 = -8*x. Let o(l) = -l**3 - 2*l**2 + 6*l + 1. What is o(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-616)\/(-784)*2\/22. Let r = 7 + -3. What is the nearest to -1 in r, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 189 and 0.1245.\nAnswer: 23.5305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 140707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -728*o + 733*o - 2*f = 4, -5*o + 3*f + 6 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/13  (b) -0.5  (c) -3  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 13*w + 2. Let v(q) = 49*q + 12. Let j(f) = -6*a(f) + v(f). Let d(t) = 10*t**2. Determine d(j(n)).\nAnswer: 8410*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 114179863 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 68.64 + 0.36. Let c = z + -69.0000635. Round c to six decimal places.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 17 = -5*f - 1, 12 = -5*f - s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -107 - -460. Let z = -199 + n. Suppose 4*o - z = -3*i + 118, 2*o = 3*i + 118. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 4*m + 3 = 0, 2*z + 3 = -5*m + 5. Let d be 7 + -10 + -1*z. Let h be (-3)\/6 - 2\/d. Solve h*j = -j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 30268*k*v**4*z - 2870*k*v**2 + 9*k*z + v**4*z + 3*v**3*z wrt v.\nAnswer: 726432*k*v*z + 24*v*z + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 j when four letters picked without replacement from jxjxjxxxjjjxjx?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -5. Suppose -3*a + 0*a + 21 = 0. Solve v*s - a = 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**31)\/(l**(-1\/4)\/l))\/((l\/(l*l*l**(1\/26)))\/l)**35 assuming l is positive.\nAnswer: l**(2215\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1200 divided by 400.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 286 = 3*j, 3*t + 894 = 8*j - 11*j. Is t less than or equal to -295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2898)\/(-360) - (12\/32)\/((-42)\/(-28)). Factor 18\/5*j**3 - 3\/5*j**4 + 36\/5*j - w*j**2 - 12\/5.\nAnswer: -3*(j - 2)**2*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3175 divide 111153575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100001 - -10101110?\nAnswer: 10001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (9 + -12)*3\/(-45). Let l = 25 + -24.89. Is l <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27.4 - -30. Let p = 0.6 - n. Put p, 2, -5 in decreasing order.\nAnswer: 2, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -17*l + 1. Let d(a) = -2*a**2 + 2*a - 2. Let p(c) = -3 + 344*c**2 + 3*c - 170*c**2 - 178*c**2. Let i(q) = -3*d(q) + 2*p(q). Give n(i(o)).\nAnswer: 34*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1100200 + 1210000?\nAnswer: 102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3631330 and 610?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*m**3 + 9567*m - 9568*m + 2*m**4 - 5*m**3 - 26 as v*m**4 + z + n*m**3 + p*m**2 + w*m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000052576677 to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 88431.99 centuries?\nAnswer: 106118388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -29 + 109. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13c6 (base 16) to base 9\nAnswer: -6844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s = 9*s - 30. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = 4*w + 3 - 43, -6*n - 50 = -5*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -3.476*-611\nAnswer: 2123.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h**3 + 13*h**2 - 6*h - 11. Let o(i) = -5*i**3 - 26*i**2 + 12*i + 23. Let t(v) = -9*n(v) - 4*o(v). Calculate t(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*a - 12*a + 23. Suppose 3*v - 104 = -2. Let u = a + v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -29927*x - 12808759. Calculate t(-428).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4824257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 3*f = -2*z + 15, 4*f - 8 = -4*z. Let w(b) be the first derivative of -1 + 3\/4*b**4 + 3\/2*b**2 + 2*b**z + 0*b. Let w(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 15, h: 4}. What is prob of picking 1 h and 3 f?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -171018 + 240418. Round m to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r**3 - r**2 + r. Let b be z(1). Suppose 2*x - 27 = -x. Solve 0 = -3*s - x, -4*i = -0*i - b*s - 17 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23 + 123?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27873, 27891, 27935, 28017, 28149, 28343, 28611?\nAnswer: 28965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 370 - 221. Suppose 6*h + 53 - s = 0. What is the common denominator of 214\/20 - h\/4 and 79\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g + 126. Let q(l) = -4*l + 126. What is 4*q(p) - 5*w(p)?\nAnswer: -p - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 100189 by 1212.\nAnswer: 100189\/1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 260104.\nAnswer: 780312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*m + 91 - 175 = 34*m. Which is the fifth smallest value?  (a) 3\/4  (b) 0.05  (c) 4  (d) m  (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 34954*k**2 + 14004 with respect to k.\nAnswer: 69908*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*k - 14*k. Suppose k = 21*t - 0*t - 28182. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85015262027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -53.56 - -57. Let q = -0.44 + a. Let k = -75 + 59. Sort 2\/13, -0.1, q, k in descending order.\nAnswer: q, 2\/13, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -4*x + 4 - 8, -2*x - 16 = 4*b. Let h be -4*(b - (-6 + 3)). Suppose -2696 = -2*g + h*t, 5*t - 4836 - 1919 = -5*g. Round g to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, y: 5, q: 3, z: 3}. What is prob of picking 1 r and 3 z?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from qamcaddmaaamamq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1\/5)*n*n**(-1\/6)*n*n*n**(5\/3)*n*n*n**(-2)*n*(n**(1\/3)*n)\/n*n\/((n*n*n**(-2\/9)*n)\/n)*(n\/n**1)**(-2\/171) assuming n is positive.\nAnswer: n**(437\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 409*d**3 + 1329 wrt d.\nAnswer: 1227*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 AM and 5:18 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 8, 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 8. Let k be (10\/6 + -1)*x. Suppose -3*z + 16 = -4*s, -4 = -k*z - z + s. Solve b = -5 - z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000012295005 rounded to seven dps?\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.61647 and -926?\nAnswer: 570.85122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6*(0 - (-6)\/(-9)). Let n(p) = -b*p**2 - 3*p**2 + 5*p**2. Let z(k) = k**2. Calculate n(z(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 6*y - 3. Let s be l(2). Let k = s + -21. Let c = -8 - k. Put c, 0, -1 in descending order.\nAnswer: c, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -35*i + 5*i**2 - i**2 + 20*i + 13*i - i**3 + 8. Let h(l) = 2*l**3 - 5*l**2 + 3*l - 9. Let b(q) = 5*h(q) + 6*u(q). What is the tens digit of b(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yks. What is prob of picking 1 s and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 6 = -0*b. Let l(h) = -h - 1. Let k(o) = -3*o - 3. Let j(i) = 5*k(i) - 12*l(i). Let z be j(b). Solve -4 = 3*q + 2*d, q - 4*d - 16 = z*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -473, 4, 2, -7 in ascending order.\nAnswer: -473, -7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 232184539.29436 take away 0.3?\nAnswer: 232184538.99436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 650 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299953*s**3 + s - 98956*s**3 - s.\nAnswer: 200997*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 + 25*a**2 + 21*a + 266. Is o(-24) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j = -3*t + 2*j + 16, 5*t - 20 = -5*j. Let h = t + 1. Solve -3*i = -4*l - i - 2, 5*l + h = 3*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes after 9:36 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/2)*t*t*t**(-8)*t*t)\/(t*t*((t*t**(-2\/5))\/t)\/t*t)**(43\/2))\/(t**(1\/8)\/(t**(-1\/4)\/t))**(-12) assuming t is positive.\nAnswer: t**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w - 31. Let h be y(11). What is the third derivative of -36*q**4 - 17*q**2 - 19*q**2 - h*q**4 wrt q?\nAnswer: -912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1638211*b**2*z**3 + b*z**3 - 147*b*z**2 + b*z + 2*b + 48 wrt b?\nAnswer: 3276422*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 12, d: 6}. Give prob of sequence dd.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:22 PM and 9:54 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 12*c**2 + 2*c. Let r be h(-3). Let b = r - 69. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -65\/4464 and 43\/269824?\nAnswer: 2428416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -92, -92, -98, -116, -152, -212?\n\"Answer: -x**3 + 3*x**2 - 2*x - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -64602*x**4 + 404*x**3 - 140509043*x**2?\nAnswer: -1550448*x + 2424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -200 (base 5) to base 15.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, w: 5, p: 3, s: 3}. What is prob of sequence ks?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 4. Let d(k) = 3*k**3 + k - 2. Let z be d(m). What is the remainder when (-1)\/4 + 174\/z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-1 + 4 + 1)*(-1 - 1 + 0) + 3 - 3 - 4)*(4 - 4 + 2*d**2) as w*d + k*d**2 + y and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4732281*0.5.\nAnswer: -2366140.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -107.4 - -107.338. Put c, -1\/5, -1\/2 in decreasing order.\nAnswer: c, -1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:18 AM and 8:30 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w - 3*w + 7*w)*(-9680 - 9690 + 19338 + 59*w)*(2*w**2 - 3*w + 3*w).\nAnswer: 826*w**4 - 448*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 69366 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2867, 5742, 8617, 11492, 14367?\nAnswer: 17242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - a3?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/121 and 17\/121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (8 - 9 - (-1 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -s**3*y**3 + 4218*s**3 + 2*s - 376527*y**3 - 169*y wrt y?\nAnswer: -6*s**3*y - 2259162*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1533342 by 249.\nAnswer: 6158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.024 - -44.\nAnswer: 44.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/((-7)\/(-3)) - (-7 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 3:33 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (25\/(-15))\/((-13)\/((-624)\/16)). Put k, 2\/9, 1\/12, 0.3, 0.6 in decreasing order.\nAnswer: 0.6, 0.3, 2\/9, 1\/12, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -3*g**2 - 2*g + 1. Let r = 11 + -10. Let x be d(r). Let w(t) = -t**2 - 3*t - 3. Let k be w(-2). What is the nearest to k in x, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 + 16. Sort -2, w, 10 in increasing order.\nAnswer: -2, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 226\/10 + (-10)\/(-25). Suppose h - 15 - y = 0. Let u = h + -23. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h**2 - 49*h + 4*h**2 - 13*h**2 + 49*h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-4) + 10\/(-4). Let c(o) = -4*o**2 - 24*o - 51. Let p(r) = 5*r**2 + 24*r + 51. Let d(z) = -6*c(z) - 5*p(z). Let u be d(26). Sort u, y, 4.\nAnswer: y, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 220 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 + 6*n + 9. Let c be d(-6). Let g = -2 - -4. Let m(p) = 2*p - 1. Let r be m(g). Solve -6 = -r*y + c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -972 - 335701?\nAnswer: -336673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*f - 21*f = 28. List the prime factors of 1\/(f + 1)*(-4452)\/4.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 465455 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 141\/6 - (-1)\/2. Suppose v + 2*q - 4 = 0, 3*q - 16 = v - 5*v. Suppose -r = -v*r + m. Solve 0 = -3*w - 3*p + 15, 2*w + 4*p - 3*p - r = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -54, -52, -50, -48?\n\"Answer: 2*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3303153707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.3 - -1.7. Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 8*q + 21 = 93. Solve -a = -y - 8, -20 = -a + 13*y - q*y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express a**2 - 107*a**3 - 3*a + 0*a + 61*a**3 + 53*a**3 + 0*a as p + f*a**2 + y*a**3 + o*a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 + 30*v + 100. Let j be s(-4). Suppose 4*r - 6 = -10. Suppose 1 = 3*d - x - 2, -5*x + 19 = 2*d. Sort j, r, d in descending order.\nAnswer: d, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 255 and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -659*l + 50. Calculate the remainder when 399 is divided by j(0).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 5*z - p - 127, -4*p + 90 = 3*z. Is 26 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.1, 5, -132, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 2*u - 10. Let k be p(7). Solve -k = -3*q - y - y, 0 = -q - y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94*s - 89*s = -111264. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 233 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q + 77 - 80 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 133224 - 37666 = -5*f, 0 = -3*m - 2*f + 102535. Is m a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/12)\/(-2*2\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 + 11 + 12*f)*(f + 0*f + 2*f) to p + o*f**2 + y*f and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 367977.7kg to nanograms.\nAnswer: 367977700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 65573 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41 - 31. Suppose o + 4 = v. Let w = -2 + o. What is the smallest common multiple of w and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 5:26 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7297452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 PM and 12:54 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -4 + -3 + 2 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 13*w**3 - 117*w**2 + 11*w - 85. Let q be c(9). Solve -n + q = n - 5*d, 4*n - 3*d = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 + 11. Suppose -38*z + 80 = -78*z. Which is the closest to z?  (a) h  (b) -4\/3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y be (-914)\/(-18) - 2\/(-9). Calculate the common denominator of 73\/4 and 3\/9 + y\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 157 divided by 1\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 5) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57439 is divided by 857.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) -5  (c) -2\/21  (d) 4.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -3689*s - 30. Is l(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2381*j - 11888. Give u(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times 37632?\nAnswer: 18816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -6*f**2. Let l(c) = 4*c**2 + 4 - 4 - 5*c**2. What is l(r(h))?\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 6*q - 3. Let v(f) = 4 + 389*f + 366*f - 764*f. What is 7*g(t) + 5*v(t)?\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = i, -5*f + 6 = -0*i - i. Suppose 5*j + 2*s = -11, -2*s + 5 = -3*j - i*s. Is -7*(0 + 2 + j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-25 - (-2)\/(-2))\/(-1). Let z = p - 8. Solve q + 4*b = 0, b = 5*q + 3*b - z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*x**3 + 83274*x**2 + 51*x - 12738117?\nAnswer: -6*x**2 + 166548*x + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/3)*z\/(z\/z**9*z)*z**9*z**(-1)*z)**(-8))**(-14\/11) assuming z is positive.\nAnswer: z**(5600\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -3*m**3 + 2*m**3 + 10*m - 11 + 17 - 3*m. Let s be o(-2). Let y = -0.7 - -1.4. What is the nearest to s in y, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -66 - -66. Suppose -r - 2*c + 6 = s, 0*r - 15 = 3*r - 5*c. Suppose -3*k + 274 + 89 = r. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22*t**3*y + 15*t**3 - 2*t**2 + 207*t*y + 2*t wrt t.\nAnswer: -132*y + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -61, 68 in increasing order.\nAnswer: -61, -1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2216 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -3*x - 2. Let a(b) = -16*b - 10. Let n(z) = -a(z) + 5*f(z). Let d(k) be the third derivative of 4*k**5\/15 - k**2. Give n(d(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 531881\/6, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -224355680*m + 1331578354 wrt m?\nAnswer: -224355680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3*v + 294 = 0, 71*z - 68*z = 4*v - 908. Round z to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98737 is divided by 167.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:18 PM and 4:31 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 3*r - 5*u - 19, 4*r - 62 = 2*u. What is the least common multiple of 8 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2204419409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 1742252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -5*y + 12. Let c(w) = -12*w + 25. Let v(z) = 2*c(z) - 5*s(z). Give v(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + (-44)\/12 - 20\/15. Let y(l) = -159*l - 1. What are the prime factors of y(j)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 525541339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3806 and 166?\nAnswer: 315898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4436807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32 - 24. Suppose -6 = -3*c, -2*c - 58 = -x*r + 6*r. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5+-394647\nAnswer: -394647.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3 or -6746?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - f**2 - 7*f + 7. Calculate o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -10*x**3 + 9*x + 0*x + 7*x**2 + 11*x**3. Let b be m(-5). Sort 4, -4, b, -2.\nAnswer: -4, -2, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37756.\nAnswer: 2, 9439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1*1.29\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -20*r**3 - 291*r**2 + 123*r - 168. Calculate d(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 180, 134, 200, 384, 692, 1130?\nAnswer: 1704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 220*t = 219*t + 2047. What are the prime factors of t?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, k: 5, z: 1, e: 1, n: 1}. What is prob of sequence zke?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 141 or 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 197 = 2*g - 128, -641 = -4*g - p. What is the remainder when 437 is divided by g?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-2*45\/20).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 10190 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 8*t**2 + 14*t - 16. Let a(o) = -13*o**2 - 21*o + 24. Let d(l) = 5*a(l) + 8*j(l). Let h be d(4). Let r = -2 - -3. Solve -r = -5*i + h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-125)\/(-25) - (-85)\/(-2475)*145\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 53093*o + 72904.\nAnswer: 53093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -417?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3685\/8631 - 2\/1233. Which is the biggest value?  (a) -0.5  (b) 0.1  (c) i  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 148 and 1184.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3887969 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*k**2 - 2*k**2 - k**2)*(14*k**2 - 640 + 640 + 3*k) to the form v*k**2 + s*k**3 + j + l*k**4 + u*k and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssssssssssissss. Give prob of picking 2 s.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 68 + -52. Solve -c + z = 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -27 - 15*l**2 + 41*l**2 - 17*l**2 + 78*l - 2*l**3 - 76*l as i*l**3 + y + c*l**2 + q*l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18\/12 + (-2)\/(-4). Suppose -7*o = -i*o. Suppose o = -2*n + z + 37, -2*n - z + 3*z = -36. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of -4*q**5\/15 - 5*q**4\/3 + 7*q**3\/8 - q**2\/6 - q + 27. Determine m so that v(m) = 0.\nAnswer: -4, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30\/7 - -38\/7. Factor s + 2\/7*a**2 - 8\/7*a.\nAnswer: 2*(a - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10284 is divided by 1304.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 2*s + 6 = 2*x, 3*s = -3*x + 24. Let l be (0 - 9\/x)*-2. Suppose 0 = 2*f - l*m - 3, -2 = 2*f - 2*m - 10. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*g - 702 = -19*g. Let c = g - -85. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1233 (base 4) in base 10?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -53124 divided by -1230?\nAnswer: 8854\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -94015*w**3 + 14*w**2 + 4*w**4 - 2271*w**2 + 94090*w**3 - 1 wrt w?\nAnswer: 96*w + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-11) - (-783)\/11. Let s = a + -19. Does 13 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + -3 + (0 - 3) + 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of -11*f**6\/360 + f**5\/40 - 5*f**3\/3 - 43. Let z(m) be the third derivative of u(m). Find the second derivative of z(d) wrt d.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 95498\nAnswer: 2\/47749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3292 + 9675 - 2686 - 2935 - g.\nAnswer: -g + 762","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 8*g**4\/3 + 10*g**3\/3 - 38*g**2\/3 + 14*g\/3 + 2 = 0?\nAnswer: -3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 85 - 55. Let r = -42 + p. Let v = -11.9 - r. What is the nearest to v in -1, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -2\/28023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)\/sqrt(486))\/sqrt(10))**2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l - 5. Let g be c(5). Let n(b) = b**3 - 4*b**2 - 4*b + 2. Let i be n(g). Let q = 20 - 14. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -8*o**3 + 3*o**2 - 17*o - 3. Let a be p(-6). What is the units digit of 12\/(-16) + a\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 323570?\nAnswer: -1294280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**3 + i**2 - 1. Let z(w) = -4*w**3 + 4*w**2 + 2*w + 3. Give 2*a(m) + z(m).\nAnswer: -2*m**3 + 6*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -4*t - 9 + 53, 3*y = -t + 13. Let c(d) = d**2 - 234*d - 1677. What is the smallest common multiple of c(-7) and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of h**3\/24 + 3*h**2\/16 + h\/4 + 10. Suppose d(o) = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -3*s - 14. Let y be c(-10). Suppose 5*v = 4*v + 3*d + 30, v + 4*d - y = 0. Is 13 a factor of (-82)\/(-6) - v\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -133, -141, -153, -169, -189?\n\"Answer: -2*n**2 - 2*n - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 123.162 + -0.162. Let x = k - 128. Let y be 4\/(-6)*(-9)\/66. Which is the nearest to -0.2?  (a) y  (b) x  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -169 in -3, 5, 0.1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 - 184 - 2 - (3 - 4). Let x = 190 + p. Let h = -2 + 0. What is the closest to 1\/2 in x, -2\/15, h?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1325396497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21014?\nAnswer: 2, 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 4*n = n. Let b = -218 - -229. Put n, 1, 2, b in ascending order.\nAnswer: n, 1, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 9. Let x = c + 1. Is 96 - (-2 + x + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -83959 >= -80156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of -h**4\/12 + 7*h**3\/6 - h**2\/2 - 5*h. Is 3 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -320 + 1244033?\nAnswer: 1243213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, t: 3, h: 1}. What is prob of picking 1 i and 2 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (34 + -1)*((-12)\/126 - 405\/1701)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:12 PM and 2:51 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 25\/175*((-24)\/(-40) - (-425373)\/(-30)). Which is the closest to h?  (a) 0  (b) 2  (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than -27046?\nAnswer: -27045.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4666, 5729, 6784, 7837, 8894?\n\"Answer: m**3 - 10*m**2 + 1086*m + 3589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 69513169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (1*sqrt(2430))\/sqrt(10) + (-3*-1*sqrt(18) + sqrt(18))\/sqrt(6)*3)**2.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-7)*((-974)\/(-9740))\/(2\/140)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -15 - 9. Is (-298)\/(-8) - (-2)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 28 - -547?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1638 + -3.8362. What is the biggest value in 5\/4, v, -1.6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 15*m - 209. What is the remainder when 586\/8 - (-2)\/(-8) is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let x = -88 + 91.84. Let r = 0.16 + x. Put -0.16, -0.3, r in decreasing order.\nAnswer: r, -0.16, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20398146?\nAnswer: 2, 3, 163, 20857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 627205 is divided by 627029.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 48 - 29. Suppose -3*v - 7 = -u. Suppose 0*g + 2*w - 317 = -3*g, -v*g = -5*w - 461. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 16*c. Let i(o) = 69*o**2 - 3*o + 1. Let f be i(1). Suppose 2*a - f = -63. Let d(l) = l**2 + 2*l**2 + l**a. Determine b(d(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*t - t + 11*t + 13*t.\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 2:44 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -133 - -6?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of 0*o**6 + 0*o**5 + 0*o**4 - 1\/42*o**7 - 1\/2*o**3 + 0*o**2 + 3*o + 0. Find the second derivative of x(f) wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 0, 5*k - 5*s + 4*s - 5 = 0. Let w = -0.02 - 0.28. Let f be (-1)\/(-4) - (-4)\/(-8). Which is the closest to 0?  (a) k  (b) w  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 301 divided by -7?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 59578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8996 and 35984?\nAnswer: 35984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - w**2 - 2*w + 5. Suppose -3*m - 4*q = 205, 5*m = -8*q + 4*q - 339. Let t = 62 + m. Is u(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 9, 22, 31, 36, 37, 34?\n\"Answer: -2*v**2 + 19*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2a438 (base 14) to base 5.\nAnswer: -11330411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*1\/3*1. Suppose 0 = -3*w - v*w + 30. What is the units digit of (-4)\/w + 27\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1195902 divided by 2?\nAnswer: 597951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by -361127.\nAnswer: 11\/361127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.5 + 0.5. Let g = r - 3. Let m be 6\/18*19 + -6. Which is the biggest value?  (a) m  (b) g  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 11837*d*h + 20734*h + 2 wrt d?\nAnswer: 11837*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 3*t)*((25*t - 151*t + 24*t)*(1 - 1 + t) + 2*t**2 + t - t) - t**3 - t**3 + t**3.\nAnswer: -301*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (123\/(-2))\/((-5085)\/(-5090) + -1). Suppose 4*c + 279819 = 4*o + i, -2*c = -4*o + 217206. What is o rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 40309148?\nAnswer: 1\/40309148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3227175 divided by 683\nAnswer: 4725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002104 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lvnoz. Give prob of sequence nv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 220 a factor of 69105047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x - t + 6779, 3*x - 3*t - 10164 = -0*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -48 in 1\/11, -2, -4\/7, -5\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (25\/(-50))\/(1\/(-242)). What is the greatest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 175519 divided by 265\nAnswer: 175519\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1*1*14 - (-37524)\/2544. Suppose -3\/4*l - 9\/2 + g*l**2 = 0. Calculate l.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least -1\/374827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 45 + -20. Suppose 17 = -7*b - r. Let i(x) = x**3 + 7*x**2 + 10*x + 24. Let t be i(b). Sort -5, 25, t in descending order.\nAnswer: 25, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1018, 1017, 1016, 1015?\n\"Answer: -u + 1019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 (base 12) in base 4?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - 12 + n**2 + 12)*(4*n**3 - 4*n**3 - 2*n**3).\nAnswer: -2*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) -0.4  (c) 5  (d) 0.48  (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -24*y**4 - 427*y**3 - 298*y**2 + 109*y + 4. Let u(s) = 71*s**4 + 1283*s**3 + 897*s**2 - 326*s - 11. Let j(q) = 11*g(q) + 4*u(q). Factor j(w).\nAnswer: 5*w*(w + 1)*(w + 21)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8 + (-6)\/1 - 461\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 460 or 459?\nAnswer: 459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f**5 - 14710*f**4 + 6274800*f**3 = 0.\nAnswer: -3320, 0, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 10 + 4)*(-2 - 1 + 2)*(0 + 0 - 2*b) to the form l + z*b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4 - 3*h + 0 - 2*h**2 + 7*h + h**2.\nAnswer: -(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1625 - 1621. What is the nearest to -5 in -6, 5, i, 1\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*0.3914.\nAnswer: 0.11742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126171031?\nAnswer: 7, 23, 111953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 4*t - 6112 = 3*t, 3*t = -g - 1232. What is g rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.38 less than or equal to 1\/180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -45*t - 31. Suppose 11*o - 5*o + 60 = 0. Let f be i(o). Suppose -5*d = -k + 16 + 418, k - f = 2*d. Is k 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 6528?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -18*r + 719. What is p(62)?\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 9:11 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 57 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, -3, -33, -1857.\nAnswer: -1857, -37, -33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3924215085 to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b*b**(-1\/6)*b*b*b\/(b\/(b**(-3)\/b))*b*b*b*b)**(3\/7) assuming b is positive.\nAnswer: b**(23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-259)\/(-11) - 154\/484*(-72)\/(-42)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 - a - 1. Let d be c(3). Let k = 462 - 467. What is the fourth biggest value in 2\/11, d, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 129048 - 91868. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 30\/10*((-4)\/(-6) + 0). Solve o + o + g = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 628 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 28*a**2 - 2*a - 9. Let s(d) = 78*d**2 - 6*d - 28. Let c(h) = -11*r(h) + 4*s(h). Give c(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 308*j**2 - 232*j**2 + 357*j**2 + 597*j**3 wrt j?\nAnswer: 3582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b + -436?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -4 - (-6 - (25 + -30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 242\/117 - 24\/13. Which is the biggest value?  (a) -0.3  (b) v  (c) 3\/7  (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 47286.43 kilograms?\nAnswer: 47.28643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-178)\/(-4))\/(1\/2). Suppose k - 5*k + j = -8, -4*j + 8 = 4*k. Suppose -r = -k*d + 21. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1040\/364*(-35)\/2)\/(7*(-2)\/(-7)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n + 17. Let q be d(14). Let i = q - -1. Solve i*c + 25 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of -v**6\/33 - 12*v**5\/55 - 13*v**4\/22 - 8*v**3\/11 - 4*v**2\/11 - 7. Factor d(h).\nAnswer: -2*h*(h + 1)**2*(h + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 9:08 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(7) - sqrt(7)) + -5 + 1 + sqrt(63)\/((sqrt(9) + sqrt(9) + sqrt(9) + (sqrt(9) - (sqrt(9) - (sqrt(36)\/sqrt(4) + sqrt(9)))))*5).\nAnswer: -49*sqrt(7)\/25 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 5*o + 131 - 15 = 0, 48 = -a + 4*o. Let r = 36 + a. Let n(k) = k**3 - k**2 - 4*k + 6. What are the prime factors of n(r)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 356.3 to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-30)\/99)\/((-2)\/6). Let t = 7 + -7.3. Let w = 565 + -565.2. Which is the biggest value?  (a) t  (b) h  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 + z**2 + 13. What is the remainder when 38 is divided by k(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5624, 11248, 16874, 22502, 28132?\nAnswer: 33764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 10, h: 5, k: 1, v: 3, f: 1}. Give prob of sequence vvkv.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 34, 0.3, -64, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90458854 is divided by 102329.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 64 + -61. Let t(q) = q**2 - 4*q + 2. Let y be t(4). Factor -j*d**3 - 2*d**2 + 29*d + 14*d**y - 41*d.\nAnswer: -3*d*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 60 + 349*f**2 - 55 - 5 + 973*f**4 - 22*f**2 + f wrt f?\nAnswer: 23352*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/(1 - 0) + -1. Let d be (-4)\/g*42\/(-28). Which is the nearest to 6?  (a) d  (b) 5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40142, -40140, -40140, -40142, -40146, -40152, -40160?\nAnswer: -40170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 993 is divided by 982.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 + 18. Suppose -3*i + q = 112. Let k be (-2)\/(-9) + 188\/i. Put -3, -2, k in increasing order.\nAnswer: k, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16 - -16.5. Let d = u - 1.5. Let z = -25 - -74\/3. What is the closest to z in d, 4\/3, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*k + k - 16*k)*(-1259*k + 1259*k - 109*k**3) to c*k**3 + w*k + q*k**2 + z + v*k**4 and give v.\nAnswer: 872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + l + 9 = 0. Suppose -l*y = -27 + 3. Suppose -4*t = r - 11 - y, -2*r = -6. Solve p + t = 2*f + 7, -4*p = -5*f - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, i: 6, e: 4, j: 1}. What is prob of sequence ess?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l - 5*l + l. Let k(o) = -2*o**2 + o - 1. Let r(a) = -1173*a**2 + 575*a - 575. Let s(x) = 1150*k(x) - 2*r(x). Give s(v(p)).\nAnswer: 184*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -79 - -87. Let s(x) = 14*x**2 + 12*x - 12. Let t be s(u). Let b = -579 + t. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -8407 - 3917. Let s = l + -12241\/4. Calculate the common denominator of -4 + (-120)\/300 + (-269)\/90 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.092  (b) -2\/15  (c) 1\/3  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -37059, -37044, -37033, -37026, -37023, -37024, -37029?\n\"Answer: -2*j**2 + 21*j - 37078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y**3 - 2*y**2 + 50*y - 46. Determine m(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*l + 27*l = 40. Calculate the smallest common multiple of l and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -495647 by 5.\nAnswer: -495647\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mss when three letters picked without replacement from {m: 2, n: 3, s: 13}.\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3\/4)\/(i*i\/(i**(-9\/4)\/i))*i*i**4*i**(-40)\/i*i)**47 assuming i is positive.\nAnswer: i**(-1927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15\/146519 + 12040883\/257140845. Find the common denominator of f and -49\/936.\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 210 and 242868?\nAnswer: 8500380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(121)*-2 + sqrt(121))*3 - (sqrt(121) - sqrt(121)*-1)*2)*-1)\/(-2*(2*2*sqrt(55))\/sqrt(5)).\nAnswer: -7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.39267 millimeters in nanometers?\nAnswer: 18392670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*(c\/((c**5*c)\/c))\/c)\/(c\/c**3))\/(c**(-2\/11)\/(c*c**(2\/9))) assuming c is positive.\nAnswer: c**(-59\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - 619084?\nAnswer: -619084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 20 + -13. Suppose 0 = -o + 4*a - 8, -3*o = -2*o + a + 3. Let i = o + 7. What is the remainder when n is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -0.031338238?\nAnswer: -0.015669119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2449489 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 9 = -10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o\/((o\/(o*o\/(o*o\/(o\/(o\/((o*o*o*o\/(o**0*o))\/o)))*o)*o))\/o)*o\/(o\/(o*o*o\/o**(-2\/61)*o)) assuming o is positive.\nAnswer: o**(490\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 16561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 2*g - 4. Let j(o) = -1. Let t(x) = -h(x) + 4*j(x). Let z(f) = 4*f. Let s(w) = 7*w. Let m(i) = -3*s(i) + 5*z(i). Give t(m(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - -736?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -120 divided by 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 - 3*m. Let h be i(3). Suppose a + a - a = h. Is a + (-2)\/1 + 322\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j. Let n(g) = 7*g**2 + 15*g + 9. What is n(q(k))?\nAnswer: 7*k**2 + 15*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 6. Let v = 1 + h. Let o(s) = 1 + 3 + s - 1 + v*s. Determine o(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29 + -79. Let w = c - -67. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2825241 and 33.\nAnswer: 31077651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -65 - -176. Suppose 3*w - 2*v - 96 = 0, -4*w - 2*v + n = v. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 96\/160*-109*(-7)\/(273\/(-65)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.1984413 - -464.96\nAnswer: 465.1584413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let s = -7.6 + 26.1. Let o = -19 + s. Sort o, 3\/5, -1 in ascending order.\nAnswer: -1, o, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 4*j = -9, 8 = w - j. Suppose 1840 = 8*s - 1240. Suppose -k - 74 = -x + k, -w*x + 5*k = -s. Calculate the greatest common divisor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - (-120)\/25)\/(20\/15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-8 + (-1625)\/(-3666)*18)\/(0 + 1)\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 137, 547, 1119, 1763, 2389?\nAnswer: 2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -28*t**2 - 10*t - 3. Determine u(-2).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, -5, 3, -41 in increasing order.\nAnswer: -41, -5, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -2*y**3 - 575210*y**2 - 41359756000*y - 206784400000 = 0.\nAnswer: -143800, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 265402 (base 7) in base 11?\nAnswer: 34574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 598 - 1046. Let d = x + 536. What is the greatest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 4:59 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3*p**2 + 654*p + 2359. Determine o(221).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -509315 by 101863.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15.8 - 3.2. Let t = 15 + z. Which is the nearest to -1?  (a) -0.5  (b) 5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*f)*(5 - 10 - 23).\nAnswer: 56*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -2*k**2\/9 + 1678868*k\/3 = 0.\nAnswer: 0, 2518302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 109 = 3*y, -4*y + 220*k + 145 = 225*k. Let v = 9 + 14. Let z be 4\/(-6) - v\/(-3). Calculate the greatest common divisor of y and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 divided by -9?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4978094*t*z**3 - 2*t*z**2 - 5*z**2 - 7647*z - 11 wrt z.\nAnswer: -29868564*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 + 45*s + 305. Is l(32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 4*b**2 + b + 1. Let x be s(-1). Suppose -4*t + 304 = -0*h + x*h, 3*t + 4*h = 226. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.254 + 2.254. Which is the third biggest value?  (a) g  (b) 3  (c) -0.2  (d) 52\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-13510)\/(-42)*(-3)\/2. Let f = p + 530. Calculate the common denominator of f and -41\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 623 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3297, 24239, 81077, 191757, 374225, 646427, 1026309?\nAnswer: 1531817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36 - 18. What is the smallest common multiple of h and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 395920*g**4 - 287*g**3 + 1788*g**2 + 7659.\nAnswer: 9502080*g - 1722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(882))\/(sqrt(6)*-3*-1).\nAnswer: 14*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (84\/60)\/((-553)\/5).\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2027\/9 + 225. Let t = 547.59 + -547.59. Which is the nearest to t?  (a) 0.4  (b) o  (c) -0.1  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4*z + 15 = 4*s, -2*z = -4. Suppose s*u = 5*u + 46. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -432*g + 61596. Determine v(142).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3\/5, -0.1, 6\/5, 146611?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 55 - 52.1. Let l = -3 + j. Let d = 0.2 + l. Which is the smallest value?  (a) d  (b) 0.4  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.13*2.72434.\nAnswer: -0.3541642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 146*f + 281*f - 143*f - 6*f**2 + 21. Calculate the remainder when 223 is divided by c(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 + 5)*(34*y - 9*y - 36 + 38).\nAnswer: 250*y + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.925 - 441.625. Let f = -0.0989 + -457.9011. Let h = f - m. What is h rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of 0 - 1\/16*q**4 + 3\/8*q**3 + 0*q**2 + 5*q. Factor r(k).\nAnswer: -3*k*(k - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -p - 2*p - 60, 3*p = -3*z - 60. Let n be 1\/(-4) - 85\/p. Suppose -l + 111 = -n*w, 0*w + w = -3*l + 359. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20998 is divided by 168?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2*p - 4)*(-1534 + 106*p + 1534).\nAnswer: -212*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 5 = -2*r, -2*n + 3*r - 14 = -r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-7)\/(-5)) + 5 + ((-5610)\/(-45))\/(-22)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(44\/114)\/(-11)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.5 - -1.2. Which is the fourth smallest value?  (a) -5  (b) n  (c) -1  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*(t\/(t**5*t))\/t*t)*t*t\/t**(-6)*(t**(-2\/13)\/t)\/(t**(-1\/2)\/t))\/(((t*(t\/((t**3\/t)\/t*t))\/t)\/(t\/t**(1\/5)))\/(t**0*t**8)) assuming t is positive.\nAnswer: t**(3009\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 201*n**2 + 39*n**2 + 3*n - 3*n + 93*n**2 to p*n + z + s*n**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -239 - 3?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 + 1044342\/10)\/((-5)\/(-25)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8199 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4292 >= 4285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*r - 45297 = 31*r. What is the remainder when r is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.05, 3, -3, -3\/7, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, 15, 4, 1, -3, 7 in descending order.\nAnswer: 15, 7, 5, 4, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of 0*z**5 - 1\/40*z**6 + 0*z**4 - 2\/3*z**3 + 3*z**2 + 0*z + 0. Find the first derivative of f(n) wrt n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -88 - -64. Let q be 116\/7 - (-2)\/((-112)\/z). Solve 4*c + q = -h, -c - 2 = h - 0*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 73, 56, 39, 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00165 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of -2*u**2 + 0 + 0*u**5 + 5\/336*u**8 + 1\/24*u**4 + 0*u**6 + 0*u**7 + 0*u + 0*u**3. Find the second derivative of q(p) wrt p.\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 324.9 - 325. Let p = -16 - -16.1. What is the nearest to 9 in y, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 717471?\nAnswer: 3, 26573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 5*o - 11, 4*z - 20 = -10*o + 6*o. Solve z = -3*j + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-18)\/(-24)*8\/(-2). Let p be 18\/(-16) - (-2 - q)\/(-1). Let s be 7\/((-49)\/(-10)) - 2. Sort p, s, 1 in descending order.\nAnswer: 1, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 2 = -4*o. List the prime factors of o\/9 + (-336)\/(-54).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 divided by -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -400*d**2 - 32*d - 938. Let g(u) = 160*u**2 + 13*u + 391. Let l(o) = 5*b(o) + 12*g(o). Determine l(1).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99321078?\nAnswer: 2, 3, 223, 74231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -726, -1453, -2180, -2907?\n\"Answer: -727*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1756378 (base 11) to base 15\nAnswer: -3dd1dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -86.79 * -0.5\nAnswer: 43.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*w - 1248 = -70*w - 55*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -4*i + 174, 3*d + 3*i = -2*i + 107. Let m = d - 30. Suppose m*v - 3*v = 11. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -35de?\nAnswer: 35dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 136 and 4352.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13 and 18785?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**0*a*a**(-2\/17)*a*a*a**(-3\/4)*a*a*a**(-1)*a)\/(((a**(-2\/7)\/a)\/a*a)**16*a**(1\/3)\/(a\/(a**(-3)\/a*a))) assuming a is positive.\nAnswer: a**(40513\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 482281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 50\/3*f**4 + 40\/3*f**2 - 30*f**3 + 0 - 5\/2*f**5 + 0*f = 0.\nAnswer: 0, 2\/3, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 9*k**3 - 11*k**2 + 53*k - 541. Is 61 a factor of t(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -182*v - 1501. Determine u(-8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - ((14 - (-2 + 6)) + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 238 - 235. Put 0.3, a, 0.1, -55 in decreasing order.\nAnswer: a, 0.3, 0.1, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94*r + 94*r - 188*r - 1703*r**3.\nAnswer: -1703*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, -248, 4, -14, 1, -2 in increasing order.\nAnswer: -248, -14, -2, 1, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 5.6. Let l be -2 - -3 - 3 - (5 - 2) - 1. What is the second biggest value in 2\/11, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 242060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*u - 101*u = 18. Suppose 42 = u*i + 5*n - 3, 4*i - 60 = -5*n. Solve 4*h = -c - 19, 3*h - i = 6*h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 5 = -29. Suppose -4*f + 2*f = -c. Calculate the greatest common factor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a + 55 = -13*v, 4001*v - a - 1 = 4001*v - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(114) + -2*sqrt(114)))\/(1*(sqrt(6)*-1 + sqrt(6)) - sqrt(6)) - (0 + (sqrt(76) + -2 - sqrt(76)) + -3))**2.\nAnswer: 20*sqrt(19) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (7 + -9 - 3) - -10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes after 3:04 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a factor of 1415673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 3*x**2 - x + 2. Let h be s(4). What is the highest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*15018085.\nAnswer: -90108510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-5) + (-16)\/10. Let c(r) be the third derivative of -r**4\/8 - r**3\/3 + 39*r**2. Let k be c(m). Put 0, k, -2 in ascending order.\nAnswer: -2, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.1 and 42.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 - 24*x**2 + 23*x + 2. Let s(b) = b**2 - 2. What is the lowest common multiple of m(23) and s(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 826*q + 18765 + 987 - 3244 = -5794 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + (sqrt(68) + ((sqrt(68)*-4 + sqrt(68))*-4 - sqrt(68)))\/sqrt(4))*-5)**2.\nAnswer: -1800*sqrt(17) + 61425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqlqqq. What is prob of sequence lq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*b + 51 = 3*v, -281 = -2*v - 2*b - 157 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -47 - (-75 + (-1856)\/(-58)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 PM and 8:27 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 59*s**3 - 4 + 4 - 50*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 53 = -7*w + 2*w, 0 = -5*w - 2*i + 48. Let h(f) = f**3 - 46*f**2 - 248*f + 9666. What is the remainder when h(47) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 4*s = 16, 4*g - 54*s + 4 = -55*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -171 + 151. Let f be 3\/(-4)*q\/(-45). What is the biggest value in -2, 1, 0.01, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46507513721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/749935 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 115.38 - 115. Let p = t + 0.62. Let f be (-1)\/12 + (-3)\/12. Which is the nearest to -2?  (a) f  (b) p  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/9))**14*(t\/(t*t**(-6)*t)*t)\/(t**(1\/4)*t) assuming t is positive.\nAnswer: t**(227\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 1:48 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4445859?\nAnswer: 3, 11, 199, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 - 16. Let i(k) = -c*k**2 - 2 - 1 + 0 + 2 - k. Give i(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -136274*j**5 + 3*j**2 + 30*j - 63?\nAnswer: -8176440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -2*u - 6. Let h be b(-7). Suppose -2*x - 34006 = -5*r, -3*r + h*r - 34015 = 5*x. Round r to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**2 + 6*p + 2. Give c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xvlul. Give prob of picking 1 x, 1 l, and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (0\/(-2))\/((-4)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10669 is divided by 323.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -w**4 + 2*w**2 - w**2 - 3 + 2*w**3 + w - w in the form o*w**4 + s + a*w + p*w**3 + x*w**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i + 5. Let x be a(-16). Suppose x - 66 = -3*k. Suppose -z - 4*z = k. Is z greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes after 11:15 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-56)\/(-532))\/((-4)\/(-19))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.25 - 0.73. Let i = 24387.2799994 + -24386.8. Let x = i + n. Round x to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 8) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1876.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {p: 7, g: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 2*m - 136, 5*m = 4*i - 0*m + 179. Let p(c) = -c**3 - 46*c**2 - 2*c - 90. Let l be p(i). Solve l*q = 2*b + 14, -12 = b - 3*q + q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 1:12 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.3 + 0.22. Let t = j - 0.4. What is t rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -13. Suppose -h*c - 11 = 4*s, 3*c + 14 = 6*s - s. Let t(z) = z**2 - 4. Give t(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22107023 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 6*k - 2. Suppose -27 = 3*g + 2*n - 5*n, 2*g - 5*n = -33. Let x(t) = 7*t - 2. Let j(m) = g*x(m) + 5*a(m). What is the units digit of j(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 75 + -81. What is the smallest value in 0.3, h, -1, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12 + (10 - 18) + 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 604538*q**2 + 2*q**3 - 604538*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (3 - 8)*-3 - 3. Let r be 4\/(-3)*(-45)\/y. Suppose -r*g - 4*g + 3*g + 4*g**2 + 4*g**3 - 4 + 2*g = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 837 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4957, 15344, 32655, 56890, 88049, 126132?\n\"Answer: 3462*f**2 + f + 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = -2*t, -5*t - f = 117 - 113 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -3 + 2 + 2*x + 5*x**2 + 1 - 2. Let i(d) = 16*d**2 + 7*d - 7. Let f(r) = -2*i(r) + 7*u(r). Let p(c) = -3*c**2. What is f(p(s))?\nAnswer: 27*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/1348515 and -11\/12825.\nAnswer: 128108925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 3*a + 0 + a + (-a + 5 - 5)*(-28 - 25 + 23).\nAnswer: 28*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 325?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 - 2*q - 6. Let u be r(5). Let p be (-13)\/(-13)*(4 + 0) + u. Suppose p*a - 8424 - 1859 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 - 1)*(-2*p - 3*p + 3*p)*(6701*p**3 + 276 - 3350*p**3 - 3349*p**3) as m + y*p**3 + k*p**2 + v*p + a*p**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 + 3*k. Let p be j(-4). Solve -p*h = -8*r + 3*r - 15, 0 = -2*h - r + 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 6) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.68 plus -0.01585641715?\nAnswer: 0.66414358285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(540)\/sqrt(12))\/sqrt(9).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -0.013, -4, -5, 14562?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 106*q - 6037. Let t be y(57). Suppose 5*v = 1 - 6. Put 4, 71, t, v in descending order.\nAnswer: 71, t, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c + 2*s - 29 = 7*c, -c + 2*s = -7. Solve 0 = -9*k - 0*k + c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 24585*l - 1 - 24587*l + 14*l**2 + 6*l**2 + 4*l**2 + 5 - 5 + (7 - 3 - 3)*(-2*l**2 + 3*l**2 - 2*l**2) in the form r*l + v + y*l**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*a**2 - 2566*a + 2566*a.\nAnswer: -83*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 404 by -101.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181094.\nAnswer: 2, 90547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -1456?\nAnswer: -3\/728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47920650 is divided by 323788?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6, -1, -4.\nAnswer: -4, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 10:46 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -3*t - 4*y - 0*y, 4*t - 6 = -2*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000078909 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -4*h - 2*s, h + 12 = 3*s + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 356 is divided by 89.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -40 - 134?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -598\/5 - -120. Find p such that 4\/5*p - 26\/5*p**4 - 18\/5*p**3 - 2*p**5 + l*p**2 + 0 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-20)\/50 - (0 - 2\/5). Solve 0 = -i*m - 3*m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1010137 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r**3 - 11*r**3 - 693 - 2*r**2 + 348 + 347 to the form f*r + i*r**2 + k*r**3 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 + 0)\/((-2)\/8). Let b be 5\/(-2) - (-9)\/6. Sort b, m, -2 in decreasing order.\nAnswer: b, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 8*i - 5115 = 0. List the prime factors of 40\/60*i\/2.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -88 + c**2 + 13*c**2 - 10*c - 3*c**3 + 72 + 4*c**3. What is the tens digit of z(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166965.4 decades in months?\nAnswer: 20035848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*j - 37 = 6*d + 5, 9 = -2*j - 2*j - d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of -11\/4*q**4 + 1\/30*q**6 + 0*q**5 - 2 - 3*q + 0*q**3 - 31\/2*q**2. What is the first derivative of v(b) wrt b?\nAnswer: 4*b**3 - 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11696 divided by 1855?\nAnswer: -11696\/1855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 184.68963 - 184.56. Let b = 0.128 - r. Round b to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -a**5\/10 + 51*a**4\/10 - 199*a**3\/10 - 14103*a**2\/10 + 14420*a - 64974\/5 = 0.\nAnswer: -17, 1, 14, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, -3, 0.5, 9, 146 in descending order.\nAnswer: 146, 9, 0.5, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:43 PM and 9:05 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, 2, 8, 5, -9, 1.\nAnswer: -35, -9, 1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 64104398?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**2 - 7*r + 6. Let x(h) = 4*h - 4. Let i = -6 - -3. Let j(s) = 3 + 8 - 11*s + 5 - 5. Let p(k) = i*j(k) - 8*x(k). Give -o(b) - 5*p(b).\nAnswer: -b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**2\/3 + 39659*a\/3 + 26438 = 0. Calculate a.\nAnswer: -39657, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 134955.\nAnswer: 3, 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87886.\nAnswer: 2, 43943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x + 5*v - 6 - 12, 2*v = 4. Let k(r) = -r**3 - 3*r**2 - 3*r - 1. Determine k(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164 is divided by 91.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219 is divided by (-17 + 16 + 0 + 5)\/(5 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 10*j**2 - 7*j - 9. Let s be i(9). Let o = -20.8 - -21. Sort o, -4\/3, s in descending order.\nAnswer: s, o, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 10 = 4. Which is the smallest value?  (a) -3\/5  (b) -0.2  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 9203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**3 + 7*l**3 + 5*l**3 + (-l**2 - 3*l**2 + 6*l**2)*(-2*l - 1 + 1).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2\/4 - 84729*d\/4.\nAnswer: 3*d*(d - 28243)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*u = -11554 - 26759. What are the prime factors of u?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4*(-6)\/(48\/124). Round o to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 45 + -7 + -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -13*x + 19. Solve n - 4*n - r + 2 = 0, 2*r + x = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (3*sqrt(75) + 4 - (sqrt(75) + ((sqrt(75) - (2 + sqrt(75)) - sqrt(75))*-3)**2)) + (-5 + sqrt(75) + -1 + sqrt(75) - (sqrt(75) + -1 + -1)).\nAnswer: -715 - 165*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 235664340 rounded to the nearest 1000000?\nAnswer: 236000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11395 and 6065850?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103147 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 41719729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -45.538 * 0.007.\nAnswer: -0.318766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-46)\/4*14\/7. Let d = -3 - a. Suppose -500 = -2*n - 3*n. Calculate the greatest common factor of d and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 + 2*b - 4. Suppose 2*r + 0*r = 4*j + 8, -4*r - 24 = 2*j. Let y be v(j). Solve -c + y = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -7*c + 6. Let t be x(-7). Suppose -l - 9 + 31 = 0. What is the greatest common divisor of t and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h + 51. Let z(r) = r**3 + 6*r**2 - r - 3. Let j be z(-6). Suppose j*a = 6*a - 18. Calculate the remainder when y(16) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 61609 divided by -158.\nAnswer: -61609\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 14*u**2 + 46*u - 3. Let t be m(-6). Let h(q) = 78*q**2 - t*q + 84*q**2 - 157*q**2. Let l(w) = 9*w**2 - 17*w. Give -11*h(v) + 6*l(v).\nAnswer: -v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, c: 12}. Give prob of picking 2 c and 1 n.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -288 + 288. Let d(u) = -5*u**3 - 5*u**2 - 3. Let h be d(-4). Suppose l*y + 3*y = h. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -305414463*l**4 - 572266108.\nAnswer: -1221657852*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-1 + (6 - 4) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -48963674*p**2 - 65599520*p wrt p?\nAnswer: -97927348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11, 88, 337, 802, 1549, 2644, 4153, 6142?\nAnswer: 8677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 + -36. Find the common denominator of (1\/(-6))\/(v\/126) and -61\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4730080 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 915798 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 4*g - 4781, 5*k - 2443 - 1144 = -3*g. Does 105 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 5, 4\/15, -55, 4.\nAnswer: -55, -7, 4\/15, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of k**6\/120 + k**5\/5 + 5*k**4\/12 - 10*k**3\/3 + 3*k**2 + 9. List the prime factors of j(-9).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*p - 3*o, -13*p - 5*o = -9*p + 19. Let b(j) = j + 1. Let y(h) = 23*h + 46. Calculate p*y(g) + 46*b(g).\nAnswer: 23*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 502936231.\nAnswer: 7, 71848033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 1 + 1)*(-3 + 5 + 0)*(5 - 5 + 3*r).\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -158612 or -158611?\nAnswer: -158612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*i**5 - 626*i**4 + 6*i**2 + 3*i - 269298 wrt i?\nAnswer: 240*i**3 - 7512*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 247 and 532?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -18017284, -18017263, -18017242, -18017221, -18017200, -18017179?\n\"Answer: 21*y - 18017305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 142, -1\/2, -2\/3 in ascending order.\nAnswer: -1, -2\/3, -1\/2, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p - 2*t - 10 = 0, 702*p - 705*p = t + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10155084.\nAnswer: 2, 3, 113, 7489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*h = 31*h + 6. Solve h*g - 5*o - 35 = -2*g, 0 = 2*o + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -8 - 25*c + 8. Suppose 5*g + 53 = 2*w, 2*g + 41 + 41 = 4*w. Let p(t) = t - 43 + 24 + w - 3*t. Calculate j(p(d)).\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -9 + 2*g**2 + g**2 + 11. Let j(u) = 7*u**2 + 4. Let n(t) = 61*t + 669. Let a be n(-11). Calculate a*j(f) + 5*v(f).\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 44 = 11. Solve -6*b + x = -b - 4*w, 2*b - 4 = 2*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/14 + (-4)\/14. Suppose -16 = 2*g - 4*h, 3*g + 16 = -0*g + 4*h. Is 34\/(g + 1 + d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -307.\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 9*z**2 + 10*z + 3. Let c be l(10). Suppose p + 0*r - 23 = 2*r, -c*p = -5*r - 64. List the prime factors of 2\/p - (-141)\/13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssspppess. What is prob of picking 4 s?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6583.0190158 take away -1.435?\nAnswer: 6584.4540158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -64?  (a) 0  (b) -2  (c) 3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 421 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.097 + 0.127. What is the third smallest value in 0.1, r, -5, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.26 + 78.74. Let n = p + -79.65. Let a = 0.6500108 + n. Round a to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -23*h**2 + 1574. Let u(z) = 4*z. Calculate c(u(d)).\nAnswer: -368*d**2 + 1574","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -25*k - 4. Let c = -99 + 93. List the prime factors of b(c).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -82236668 > -82236654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from {j: 2, c: 3, b: 8, u: 2}?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -24673968, -49347934, -74021900, -98695866?\n\"Answer: -24673966*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62817 - 63025.955. Let m = -210 - j. What is m rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21816 at most as big as -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 168 + -200 - (-16 - (-26 + 10)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*o*(o*o**(-2\/11)*o*o)\/o*o)\/(o\/o**1*o))\/(o**0*o**2*o) assuming o is positive.\nAnswer: o**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 + -24. Suppose -4*w + 37 = 5*h - 4, 4*w + 4 = 4*h. Solve -5*l - 4*d + 5 = d, h*l - 2*d - x = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*t + 96 = -18*t. Which is the nearest to 4?  (a) 3\/4  (b) 1\/7  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 40858476 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 5*m**3 + 2*m**2 - m. Give z(-3).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 617 - 125. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + -13 - (0 - -10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7668797 to the nearest integer?\nAnswer: 2769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i. Let t(p) = p + 1. Let c(x) = -301*x - 258. Suppose -2*d + 3*f = 516, 7*f = -3*d + 2*f - 774. Let o(j) = d*t(j) - c(j). What is m(o(n))?\nAnswer: -43*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(325) + -1)*-3 + (4 + sqrt(104)\/(sqrt(8)*4))**2.\nAnswer: -13*sqrt(13) + 317\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 8*p + 95 = 2*y, -2*p = 2*y - 94. Calculate the highest common factor of y and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 3*l - 1)*(0 + 0 + 1)*(9 + 28 + 0) to the form u*l + x and give u.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 36131, 144544, 325237, 578210?\n\"Answer: 36140*d**2 - 7*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*r + 1. Suppose -7 = -r*q - 3. Let v(j) = 8*j**2 + 1. Give v(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 7*a + 1575 = 0. Let k = a - -180. Let v be (2\/6)\/(3\/18). Solve k*y = v*z + 13, z = 4*z - y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5004 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -2. Suppose -2*a + 3*a - 9 = h. Solve -2*f - 4 = 0, -5*m = -2*f + 4*f + a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -x**3 + 2*x**2 + 10058*x - 44107 with respect to x.\nAnswer: -3*x**2 + 4*x + 10058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -y - 2, -65*l + y + 2 = -60*l. Solve l = -15*w + 16*w - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3b + 40b575?\nAnswer: 40b5b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -17.1 bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - 5*w + 233, n - 3*w + 67 = 2*n. Let s = -56 + n. Put -27, s, 4, 1 in descending order.\nAnswer: 4, 1, s, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 AM and 7:55 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12 - -1) + (17 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1499 + -2?\nAnswer: -149b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5 times 0.2169902\nAnswer: 1.084951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40872 + 41442 = -10*g for g.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -81, 0, -3, -0.3, -0.01?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2833.462 millilitres in litres?\nAnswer: 2.833462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/6, -256, 48\/11?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 13781.017 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 371 + -443. Let w be (y\/(-14))\/(5\/((-560)\/(-3))). Calculate the greatest common divisor of w and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.0157, 4, 0 in increasing order.\nAnswer: 0, 0.0157, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 435.118mm in nanometers?\nAnswer: 435118000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/342 and -91\/10950?\nAnswer: 624150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of w**6\/120 + 9*w**5\/20 - 19*w**3\/3 + w + 66. Let u(p) be the second derivative of i(p). Factor u(v).\nAnswer: 3*v*(v + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - 6*m**2 + 9*m + 8. Let k(i) = -i**3 - 8*i**2 - 4*i + 14. Let a be k(-7). Determine x(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.72906031 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -116, 6, 3, 4 in ascending order.\nAnswer: -116, -4, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -683 divided by -3\nAnswer: 683\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/17936 and -101\/161424.\nAnswer: 161424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + 19 + -9 + (1 + 0 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -526 + 525. Sort 327, k, 3 in increasing order.\nAnswer: k, 3, 327","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 + 11*s**2 + 12*s - 4. Let r be m(12). Which is smaller: -7\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + -4 + -5 + 35 + 1\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -6*r**3 - 7*r**2 + 25*r + 1. Give s(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1315 (base 6) to base 11.\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -230802314*g + 115401183*g + 115401175*g.\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of -5*y**4\/12 - 240*y. Let i(u) = u + 4 - 4 - 2*u. Give j(i(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 - 5*k + 3. Let l be i(4). Let q = 0 - 1. What is the closest to l in 0, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 < -901955\/341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.4 and 43656665.\nAnswer: 17462666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 0.9. Let y = 0.1 + q. Let n be 5\/3*(-20)\/(-50). Which is the nearest to y?  (a) 0.2  (b) 0.1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76853*0.5\nAnswer: -38426.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, i: 7}. What is prob of picking 3 i and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 7) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.06  (b) 9  (c) -3  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -6047*y**2 - y**3 + 1 + 3009*y**2 - 3*y + 3029*y**2. Calculate d(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**3 - 33*u**2 - 343*u + 36. Let o(y) = 6. Let b(d) = -h(d) + 6*o(d). Find the second derivative of b(a) wrt a.\nAnswer: -12*a + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*f**3 - 1\/3*f**4 + 0 + 1\/2*f**2 - 1\/3*f.\nAnswer: -f*(f - 2)*(f + 1)*(2*f - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 + c - c + 0*c**2 + 0*c**2 - 2*c**3 + (-2*c**2 + c**2 + 2*c**2)*(c + c - 3*c))*(31 + 106 - 33 + 49).\nAnswer: -306*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 14, l: 5}. What is prob of picking 4 i?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-5 + (4*(sqrt(77) + sqrt(77)*2))\/(sqrt(49)\/sqrt(63) - sqrt(7)))*-4.\nAnswer: 60 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 80*r - 25. Let v = -144 + 146. Let h be l(v). What is the highest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (-1 + 0 - (27 - 15 - 16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 476*k - 143 = 463*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22.623678s to hours.\nAnswer: 0.006284355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i. Let x(f) = 4*f - 3. Suppose -5*o = -2*z, -o = z + 4 - 11. Calculate z*l(b) + x(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, m: 16}. What is prob of picking 2 z?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -21032110200 (base 4) to base 10\nAnswer: -2417952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 + 6 - -12 - 11. Let m(z) be the third derivative of 0 + 0*z**3 + 1\/6*z**4 + 7*z**2 + 0*z - 1\/20*z**b. Find the second derivative of m(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 2*d**2 + 3*d**2 + d + d**3 - 2 + 0*d**2. Suppose -5*a - z - 18 = 0, 5*z = -2*a - a - 2. Let x be w(a). Solve -v - v = -x for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 1:29 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15632\/5 - 3095. Let f = 317\/20 + d. Let n = f - 47. What is the smallest value in n, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -2, 118, 1 in increasing order.\nAnswer: -6, -2, 1, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2)*j**(-8)*j\/(j\/(j\/(j*j*(j\/((j**(3\/7)*j)\/j*j)*j)\/j*j)*j))*j\/((j\/(j\/(j*(j\/((j*(j*j\/j**6)\/j)\/j))\/j)))\/j) assuming j is positive.\nAnswer: j**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 236156499 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 6*t + 42. What is u(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by 97.\nAnswer: 11\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2*c**2 + 71*c + 37. Let s be g(36). Solve -2*f = f - 2*n + s, 0 = 2*f - 3*n + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 4*c**3\/3 - 4108*c**2\/3 - 492360*c + 3003168 = 0.\nAnswer: -287, 6, 1308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.023?  (a) 5  (b) -1  (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(168)\/sqrt(6) - (2*sqrt(7) + 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -247*c**2 - 177*c**2 + 413*c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/(9\/(-6)) + 1. Let j(o) = -5*o + 4*o**2 - 2 - 3*o**2 + r. Let y be ((-6)\/(-2) - 2)*-1*-3. What is j(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mrmk when four letters picked without replacement from ggwkrmm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27*a**2*y**3 + 7*a**2*y**2 - 2*a*y**3 + 2*a*y**2 wrt y?\nAnswer: 162*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 147 - 150. Let i(j) = -2*j - 1. What is i(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -5351901, -10703799, -16055697, -21407595, -26759493?\n\"Answer: -5351898*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-3))\/k**(1\/3))**(6\/13)\/(k**(-5\/6)\/(((k**(-1\/3)\/k)\/k*k)\/k))**(2\/15) assuming k is positive.\nAnswer: k**(97\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-20)*4*24\/(18600\/(-31))*-10?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + 319 = 2089. Let i = w + -214. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 1165220?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.8 + 1.7. Let s = -3 + q. Let l = 0.2 + s. What is the second smallest value in 3\/2, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2*(-161)\/(-35))\/((1*22\/55)\/(-2))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 AM and 12:12 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01*-42882.\nAnswer: -428.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + n = 0. Let j = 117 + -95. Suppose -j = -n*o - o. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**2\/10 - r\/5 - 3\/10 = 0 for r.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 3 + (-7 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1146, -2291, -3436, -4581?\nAnswer: -5726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/9, 2\/135, -0.6 in ascending order.\nAnswer: -0.6, 2\/135, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 88 and -0.029979?\nAnswer: 88.029979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(162) - sqrt(162)) + sqrt(162))\/sqrt(6))\/(sqrt(9) + (sqrt(729) - (2*sqrt(729) + sqrt(729)))).\nAnswer: -sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -7 + (40 - 26) - (-128 + 24)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61 + 674*b**3 + 61.\nAnswer: 674*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-12)*1\/3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -68 - -95. Which is smaller: c or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10936866.45 to the nearest 10000.\nAnswer: -10940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10034335 - -12?\nAnswer: 10034350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91147614.\nAnswer: 2, 3, 15191269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1451*i**3 - 1173*i**3 + 3115*i**3 + 3 - i**3 - 3 + (1 - i**2 - 1)*(0*i - 2*i + 4*i) + 7*i**3 - 4*i**3 + i**3.\nAnswer: 492*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -l**3\/5 - 28*l**2\/5 - 159*l\/5 - 252\/5 = 0?\nAnswer: -21, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 43883153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 607169 divided by 1\nAnswer: 607169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -3*y - 4*s + 26, 0 = 2*y + s - 8. Let x(h) = -3*h**2 + h**3 + 0*h**2 + 6*h + 0*h**3 - 3*h**y. Calculate the remainder when 18 is divided by x(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**3\/3 - p**2\/2 + 3*p\/2 - 1\/3 = 0. What is p?\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = -2*q + 106, -42 = 7*o + 2*q + 302 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 36 = -3*d, -5*r - 18 + 3 = 3*d. Let n = 12 + d. Suppose -g + n*g = 12. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -66, -1\/8, -11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 165400210 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 37  (b) 2\/3  (c) -3\/2  (d) 0.5  (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((24\/(-6))\/(-16))\/(21\/12).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -370 + 399. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2 = -3*f + 10, 0 = 5*l - 4*f + 5. Let y be (-3)\/2*(-14)\/l. Let k = -10 + y. Let b(c) = -4*c + 4. Let u(t) = -3*t + 3. Give k*u(s) + 2*b(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 33210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 9, b: 1, x: 1, w: 2, j: 6}. What is prob of picking 1 j and 1 q?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 PM and 2:31 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(10\/4 + -3). Let x = -76 + 49. Let y = x - -34. Do w and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppuuuuppppuupupuupup. What is prob of picking 1 p and 3 u?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z + 7. Let w be l(5). Let c(h) = 3*h**2 + h - 2. Let s be c(w). Let m = s - 4. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -5*b + 3*j + 106, 5*j + 17 = b. Calculate the greatest common divisor of 187 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*p**2*s**2 + 709522*p*s**2 + 2758*s**2 + s - 1619 with respect to p.\nAnswer: 8*p*s**2 + 709522*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, -3, -2384, 5 in descending order.\nAnswer: 5, 4, 3, -3, -2384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.959705 rounded to 1 decimal place?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14388 * 2247.\nAnswer: 32329836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2688572?\nAnswer: 2, 672143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.15743737 rounded to five decimal places?\nAnswer: 0.15744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-204)\/17)\/((-3)\/(-2)). Calculate the common denominator of ((-36)\/u)\/((-18)\/(-93)) and -53\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38, 52, 76, 110?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*u**3 + u**3 - 3*u**3 + (-u + 0*u + 2*u)*(0*u**2 + u**2 - 2*u**2) + (-3*u + 6*u - 2*u)*(0*u**2 + 3*u**2 - u**2).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, y: 2, f: 2, v: 1, i: 7, b: 1}. What is prob of picking 1 y, 1 b, 1 i, and 1 q?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 2:06 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -78714264770 - -2?\nAnswer: -78714264768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.55089 + 0.55. Round d to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6.1126225 - -7.8874. Let o = 14 - y. Round o to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16057822 divided by 58?\nAnswer: -276859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes before 6:33 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 266.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of j**4\/12 - 5*j**3\/3 - 3*j**2\/2 - 6*j. Does 12 divide h(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 0*f + 4 - 2*f + 8*f**2 + 0*f. Let r(q) = -9*q**2 + 2*q - 5. Suppose -5*b + 4*h = -22, -h - 4 = -b - 0. Let o(i) = b*v(i) + 5*r(i). Calculate o(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 1:46 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -113491 <= -113488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8922182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 190*y**5 + 22*y**4 - y**2 - 15395*y wrt y?\nAnswer: 3800*y**3 + 264*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*s + 54 + 310. Let z = -20 + s. Calculate the greatest common divisor of 24 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -36482, -145919, -328314, -583667, -911978, -1313247, -1787474?\n\"Answer: -36479*d**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-4)\/5*140\/14 - -6134?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 3*w = -0*m - 18, -17 = 4*m + w. Let s(h) = h + 6. Is 2 a factor of s(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 165 + -155. Find the second derivative of -m*a**3 + 50*a - 14*a**3 - 2*a**3 + a**2 wrt a.\nAnswer: -156*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 56\/(-10)*(4850\/20)\/(-97).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/2340)\/((-95)\/(-760))\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 8 = -v + 2*h, h + 4 = -5*v. Solve 2*i = -v + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*s**2 - 56 + 16 + 128*s + 10 - 22 - 36.\nAnswer: 2*(s + 22)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01880032772 to five decimal places.\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 240950015.\nAnswer: 5, 293, 164471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 7:50 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 136 = -4*c, -3715*c + 3720*c - 80 = 5*y. Suppose -2*i = -3*i + 1. Sort i, -4, -2, c in decreasing order.\nAnswer: c, i, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10867805 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(j\/(j\/j**(-16)))*j)**(21\/5)\/(j\/(j*j**30)*j\/(j\/((j\/(j\/(j*j\/(j*(j**0\/j)\/j)))*j)\/j))) assuming j is positive.\nAnswer: j**(534\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 3*t**2 + 3*t - 2. Let s be j(-4). Calculate the common denominator of -17\/8 and 2\/3 - 358\/s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 773 by 720.\nAnswer: 773\/720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lbsky. What is prob of sequence lkb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*x**4 + 3*x**4 + 3*x**4)*(4*x + 3*x + 48*x).\nAnswer: -55*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 10 - 32. Let t = a + -11. Put t, 2, -4 in descending order.\nAnswer: 2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -83992 (base 14) to base 6.\nAnswer: -10445404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00329367 rounded to 5 dps?\nAnswer: -0.00329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 297251771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = i + 14. Is 2 + (-15)\/3 - i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 1405782 = -466806. Suppose 1754221 + j = -k. Let q = -5612368 - k. Round q to the nearest 100000.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13160 (base 10) to base 15.\nAnswer: -3d75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -99, -271, -457, -663, -895?\n\"Answer: -q**3 - q**2 - 162*q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 35d527 - -1?\nAnswer: 35d528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w. Let s(y) = 577773163*y**2. Determine s(v(a)).\nAnswer: 2311092652*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 10:51 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 10 = 4*q - 2, -3*j - 4 = -2*q. Solve -w = j*w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*d - 19*d - 903 = 0. Let v = -127 + d. Solve v*f = -h + 4 - 0, -2*h + 8 = 3*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -315 + 311. Let r(q) = -q**3 - q - 1. Let i(a) = 12*a**3 + 4*a + 4. Give k*r(b) - i(b).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 4094177\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(-3\/2)*z)\/z)**(1\/17)\/(z*z**(-1\/8)*z)**(7\/12))**(6\/5) assuming z is positive.\nAnswer: z**(-1929\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -49\/177 + -10\/177. Put 2, -4.48, b in ascending order.\nAnswer: -4.48, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2\/3 + 152234*u\/3 + 20282500\/3.\nAnswer: -2*(u - 76250)*(u + 133)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5681 is divided by 5658.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 - 6*l + 9. Let d be i(-7). Let u be 10\/3 - (5 - d). Let s be ((11 - 12) + -4)*(-3)\/(-65). Is s less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 4, 3, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8551 * -1.\nAnswer: 8551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-36)\/(-20) + 1*-2. Let s be (-222)\/36 - (-1)\/6 - -7. Which is the third smallest value?  (a) -1\/3  (b) s  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {a: 2, f: 1, u: 1, l: 1, d: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 542 divide 503963524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4364 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0074187 to four dps.\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 7:57 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -24171*t. Let j(w) = 840*w**2. Determine l(j(d)).\nAnswer: -20303640*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -35*g - 73. What is the units digit of l(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -64, 7, -1\/2, -3\/55 in decreasing order.\nAnswer: 7, -3\/55, -1\/2, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -63 - -2?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55*-0.05.\nAnswer: -2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 555*t + 9195 = -8010 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/8  (b) 3  (c) -3  (d) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**0\/(x*x**(-4)))\/(x*x**(-2)*x)**10)\/(x**(-5)*x**10)**33 assuming x is positive.\nAnswer: x**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(108) + 2 + 4 + sqrt(108) + sqrt(108) + sqrt(108))*3 - ((-4 + sqrt(108))*4 + sqrt(108) + sqrt(108) + 0)) + 2)**2 + 3.\nAnswer: 2592*sqrt(3) + 5187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -3.3. Let t = -17 - -13. Let c = 0.1 - 0.2. What is the closest to c in s, -2\/19, t?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54 and 126?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 376163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.149 * 0.5\nAnswer: -0.0745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 128719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1624, -1391, -1160, -931, -704, -479?\n\"Answer: -o**2 + 236*o - 1859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/81*9*-6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*f**2 + 2*f**2 - 2*f**3 + (-2*f**2 + 3*f**2 + f**2)*(0*f - 2*f + f) - 5*f**3 + 2*f**3 + f**3 + 1952 - 965 + 3*f**3 - 979.\nAnswer: -3*f**3 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 71*y**2 + 153*y - 585. What is u(69)?\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -601, -596, -591, -586, -581?\n\"Answer: 5*y - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -w**3\/4 - 23*w**2\/4 - 38*w - 55 = 0. What is w?\nAnswer: -11, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -8*c**3 - 3*c**2 + c + 2. Let f(y) = 7*y**3 + 2*y**2 - 1. Let o = 718 + -715. Give o*f(g) + 2*q(g).\nAnswer: 5*g**3 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 3*o + 333, 5*q = -2*o + 551 - 106. Which is bigger: 88 or q?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2641*j + 32089*j + 2140*j)*(-2*j**2 + 3*j**2 - 2*j**2) - 1 + 1 + j**3 to the form o*j + h + d*j**2 + n*j**3 and give n.\nAnswer: -36869","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7669?\nAnswer: 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 36, 81, 110, 117, 96, 41?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -183 - -1097\/6. What is the nearest to y in -4, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 65822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 99 + -97. Let q = 23 - 47\/2. Which is the biggest value?  (a) -4  (b) q  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 45426098?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 4*k - 2*k + 0*k + 3. Let z be l(-6). Let b(n) = 4*n**3 - 2*n**2 - 9*n - 9. Let u(m) = 2*m**3 - m**2 - 4*m - 4. Give z*u(c) + 4*b(c).\nAnswer: -2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*z + 2*n - 30, -3*z - 2*n = -5*n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 9*y**2. Let w(o) be the second derivative of -229*o**3 - 106*o - 7. Give w(c(t)).\nAnswer: -12366*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3036, 6061, 9060, 12021, 14932, 17781?\n\"Answer: -2*t**3 - t**2 + 3042*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 0 = -3*p. Let t = 5 - p. Suppose k - 36 = -t*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 240, -9, -754, -1995, -3732?\nAnswer: -5965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 980 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 121 - 125 - (-3 + -14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a factor of 88534488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*j, -4*w - 6*j + 4*j + 172 = 0. Let t be (-4)\/w + 6\/14. Which is the second biggest value?  (a) t  (b) -3\/4  (c) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10001100100111100000 (base 2) in base 11?\nAnswer: -363808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(350)\/(2*sqrt(7)) + sqrt(2)*2*-2 + -3)*-5 + 2.\nAnswer: 15*sqrt(2)\/2 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 9*b - 162 = 0. Calculate the remainder when b is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (-24 - 6) - (5 + 2 - -1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5238 = 10*i + 5138 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06168211165 rounded to six decimal places?\nAnswer: -0.061682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a + a**2 - a + (3*a - 6*a - 5*a)*(1 + 0 + 1)*(-2*a + a - a) to the form b + n*a + o*a**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*d - 7*f = -91, -d + 291*f + 291*f = 577*f - 7 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((u + 2*u**2 - u)*(3*u - 6*u + u) + 18*u**3 + 57*u**3 - u**3)*(0*u - 3*u + 4*u) to a*u + t*u**2 + s + g*u**4 + l*u**3 and give g.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 75\/22 and 11\/65992.\nAnswer: 725912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -25*w**4\/4 + 11*w**3\/3 - 2. Find the third derivative of m(d) wrt d.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 2)*(4*m - m - m) - 2*m - 5 + 5 + (4 + 4 - 5)*(-2*m + 3 - 3).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1\/30 + -7\/30. Which is the nearest to 1?  (a) 2\/5  (b) j  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 37244, 37232, 37208, 37166, 37100?\nAnswer: 37004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 621526 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 651.9987 microseconds?\nAnswer: 0.0006519987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/5 in 3, 2.6, -3?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 286, 182, -102, -656, -1570?\n\"Answer: -15*b**3 + b + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 + 2. Let y(c) = -2 - 3 + 6. Suppose -2*i - 2*h = 8 - 22, i + 13 = 3*h. Suppose 0 = -b + i*g - 3, -g - 5 = 2*b - 4. Determine b*f(n) + 4*y(n).\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 987 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*b - b - 5*b + 10*b.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 135 - 126. What is the remainder when 62 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.1 - -0.7. Suppose 3*s + 2 = -f, -f - 30 = s - 28. What is the closest to f in -3\/7, -2\/3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - c + 5*y + 19, 0 = c + 2*y + 1. Suppose -c = -2*h + z - 4*z, 0 = -h - 3*z - 3. Let j be 13\/4 + (-2)\/8. Solve -h*i - 9 = -j*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 3:03 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -98*(8 + (-34)\/4). Let y = 84 - 31. Let b = v - y. Let o(x) = x**3 + 5*x**2 + 6*x + 3. Give o(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 - -4. Let i(p) = 69*p - 103. Let j be i(-5). Let r = o - j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101180 to the power of 1\/2, to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/(-5))\/((-1)\/(-5)). Let a be ((-4)\/(-6))\/(30\/1305). Suppose a = -3*b + f + 138, d*b - 5*f - 89 = 0. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c - 20 + 20)*(c - c + 3*c**4 + (-4*c + c + 2*c)*(-2*c**3 + 6*c**3 - 3*c**3)).\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -447 - -452. Let z = -6 - -8. Suppose -s*t = 3*q - 85, q + 48 = z*t + 5*q. What is the remainder when 41 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*m**3 + 432*m**2 - 867*m**2 + 49*m + m**4 + 433*m**2 - 4*m**3 in the form f*m + r + l*m**2 + u*m**3 + w*m**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 812?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01457724 to four dps.\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 71154149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24.014 - 24. Let k = m + 0.026. Which is the second smallest value?  (a) 1\/6  (b) k  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**2 + 198*z + 671. Determine w(-97).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of a**3\/3 - 9*a**2\/2 + 18*a + 69. Determine n(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 1. Let s be 111\/21 - 4\/14. Suppose s*x - 3*x = -5*h - 22, 4*x = -3*h - 16. Sort b, x, -3.\nAnswer: -3, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*r - 3990 = 35*r. Suppose 214 - r = -4*t. What are the prime factors of t?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**2 - 5*w + 2. Let t(q) = -q**3 - 6*q**2 + 11*q + 61. Let u be t(-6). Give g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 546, 540, 532, 522, 510, 496?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**11*c**(-4\/3)*c**(-6\/13)\/(c\/(c\/(c*c\/c**(-6)*c*c))*c*c))**33 assuming c is positive.\nAnswer: c**(-1199\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10099351?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r**5 + 12*r**4 - 1452*r**3 - 5808*r**2 = 0. Calculate r.\nAnswer: -22, -4, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j**2\/5 + 1644882*j\/5 + 225469732827\/5 = 0. Calculate j.\nAnswer: -274147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**1)**(-4\/17)\/(b*b**7\/b*b*b**(2\/11)\/b*b))**(-3))**(1\/24) assuming b is positive.\nAnswer: b**(787\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -62*h + 76. Let y be o(21). Let g = 2026 + y. Is g a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35.566 * 1\nAnswer: 35.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -54659\/60990 - -326\/285. Let a = 85\/4 + -21. What is the common denominator of a and x?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72\/5 of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20200212012120 + -102?\nAnswer: 20200212012011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w**5 + 250*w**4 + 245*w**3 = 0.\nAnswer: -49, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54 + 54 - 56*o)*(16*o + 34*o - 5*o).\nAnswer: -2520*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 950292 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 5*a + 2*l, 15*a - 12*a = 2*l - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 0*j + 3*j = 27, -3*j + 15 = -n. Let u = -1860 + 1861. Which is the nearest to u?  (a) 2\/9  (b) 1\/4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6 - -6. What is the units digit of t + 1 + 3 + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 9) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/768 and 119\/384?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3192*p**3 + 3*p - 235882.\nAnswer: 9576*p**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -1391*i**2 - 4*i. Let a(c) = 371397*c**2 + 1070*c. Determine -2*a(v) - 535*q(v).\nAnswer: 1391*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5a - -4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 2*i - 8 - 4 = 0, -2*t + 8 = -2*i. Solve -3*o + 7 = 5*c, -3*c = -o + t + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 + 15. Solve k*b = -5*m - 4 - 5, 5*b = -3*m - 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, 2, -2, 20, 112 in descending order.\nAnswer: 112, 20, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 219629821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -244*g - 1116 - 836 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + a**2 + a + 3. Let r be c(0). Let n(o) = -o**2 + 13*o - 34. Let q be n(6). Suppose -l = r*l - q. Solve -h + l*h = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 465795 = -8*j + 33*j + 20*j. What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4125 (base 6) to base 9.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*4\/(-1*16)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1165529512 a multiple of 5222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -4*h. Let m(q) be the first derivative of 131*q**3\/3 - 32. What is m(d(j))?\nAnswer: 2096*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1883 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 789\/85 at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 443655697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes after 12:50 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does -6953\/11 = -631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (-25*j - 28*j - 3 + 55*j)*(4*j**2 + 8*j**3 - 4*j**2) as k*j**3 + t*j**4 + v*j + l + u*j**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4*p. Let s(i) = -i - 1. What is h(s(y))?\nAnswer: -4*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2 - 6*a - 13. Let u be x(-7). Let j = u - -20. Suppose -2*l - 5*m = -37, j*l - 5*m - 93 = -3*l. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 209 + -99. Let h = -65 + r. Let l(j) = -j**3 - 6*j**2 - 53*j - 315. Let m be l(-6). Sort -4, m, h.\nAnswer: -4, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000006777283 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 705\/(-188)*8\/(-5)*10\/(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 190 + -188. Suppose -10 = 2*k, -u*k + 4*k + 336 = 2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34400 = 1887165*z - 1888025*z for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 4*x + 32 = b, 5*x + 25 = 0. Calculate the remainder when 23 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3316814, -2, 99 in descending order.\nAnswer: 99, -2, -3316814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v - 133. What is f(-32)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1393978317 to the nearest integer?\nAnswer: 37336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 220749250?\nAnswer: 2, 5, 17, 51941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s. Let p be v(2). Suppose p*a - 6 = h, -4*a = -3*h - 6 - 4. Suppose 3*u + 18 = -2*y + a*y, -2 = u. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 1:01 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -11. What is the nearest to -2\/9 in 2, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 - 1. Let v = o + 2. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 6:00 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l**2 - 303*l - 102 = 0. Calculate l.\nAnswer: -1\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 9*a - 68. Suppose -528 = 5588*t - 5720*t. Determine c(t).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 1 = 3*z, -11 = z + v - 4. Let u(p) = -p**3 - 3*p**2 - 4*p - 1. What is u(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 36822*y**3 - y**2 + 5*y + 26. Let x be t(-7). Let j be x + (8 + -4)\/((-6)\/(-6)). What is j rounded to the nearest one hundred thousand?\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2\/78336739 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 8:20 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7461, -28041, -61739, -108555, -168489, -241541, -327711?\nAnswer: -426999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 5*p**2 + 3. Let m = -10 - -15. Let f be q(m). Sort f, 4, -2 in descending order.\nAnswer: 4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aeeeeneeneneeee. Give prob of sequence nea.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 - -10. Let h(c) = c**2 - 2. Let p(l) = -3. Let g(t) = m*p(t) - 3*h(t). Let d(u) = -3*u. Determine g(d(r)).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 17 = 7*r - 0*x, 4*r - 5*x = -6*r + 25 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from ecaceacec.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -737*l + 3347*l - 32124 = 39830 - 17144 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1816485 divided by -3?\nAnswer: -605495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6715 + -9501. Let q = -1956 - u. Suppose 0*m + 10*m - q = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 2*w - 7*w = 554, -w + 5 = 0. Let t = f - -195. Calculate the remainder when 3 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/17, 2\/3, 0.06, -0.6?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 11150 + -4?\nAnswer: 11142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 55 = -23*r. Solve -r*l - 90 = 15*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3264033.06 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 42 - 41. What is the closest to r in -1, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 10 = 2*x, -10 - 5 = -3*x - 3*g. Suppose -10 + 50 = x*o. What is the units digit of 20\/o - 1\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - r**4 - 1 + (-r**3 + 2*r**2 - 2*r**2)*(1589 - 1589 - 56*r).\nAnswer: 55*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -346, -689, -1022, -1339, -1634?\n\"Answer: t**3 - t**2 - 347*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + (-42)\/7)\/((-68)\/(-85))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10110212 (base 4) to base 15\nAnswer: 53a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fkffkkfkffkf. What is prob of picking 3 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 899 + 60. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151303481 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 140*o**2 + 25 + 154*o**2 - 282*o**2 + o as v*o**2 + q + z*o and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*v + 10*v - 589. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*q - 2*q + q)*(16*q + 5*q - 24*q + 13) as i*q**2 + v*q + n and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/5 + 19\/45. What is the nearest to 0 in -0.1, u, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73843984, 147687967, 221531950, 295375933, 369219916, 443063899?\nAnswer: 516907882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 769 + 1552 = -181*k + 8475 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -148 - -150. Let l be (16 - -1)*(-16)\/c. Let n = -105 - l. What is the remainder when 91 is divided by n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -33*u + 28. Let y be o(4). Let b be (((-27)\/12)\/9)\/(2\/y). Calculate the highest common divisor of b and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3 - 2*z + 2 - 2 - 2*z. Let u be i(-2). Solve -3*o = 5*h - 10, 3*h - u*o - 15 = 5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-nine halves of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-6)*(-29 + 29).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -17 - (-2)\/(2 + -1). Let q be (k\/(-10))\/(6\/8). Is (0 - 0) + 70\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 655 + -303. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 497*u**4 + 58*u**3 + u**2 + 1469*u - 28?\nAnswer: 5964*u**2 + 348*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0533187693 rounded to three dps?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11996 is divided by 66?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 2, 55, -615 in decreasing order.\nAnswer: 55, 2, -1, -615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 5, -1\/2, -3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*m - 93*m - 6722*m**3 + 2229*m**3 + 2225*m**3 + 2244*m**3.\nAnswer: -24*m**3 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 6*s - 8. Suppose -10*y + 1136320 = -6*y. Suppose 35920 = s*p - y. What is p rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/12*(18*6\/(-20) + -6 + 13)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 8058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22400 by 320.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 - 17186*z + 154771. Determine r(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**2 - 4*m + 4*m)*(105*m**2 - 2 - 80*m**2 + 82*m**2).\nAnswer: -107*m**4 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 268823733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = l - 13, l + 6*h = h + 21. Let p be 3 - (l - (-6 - -3)). Is p < -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 32\/(-10) - -5 - (-1)\/5. Suppose 5*h = -5*y + 11675, 9328 = 2*y + v*y - 2*h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {d: 2, s: 11, n: 1, x: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n - 5*l - 97 = 0, -n + 3*l = -2104 + 2097 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 12 * 5714671\nAnswer: 68576052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(0 + -1*sqrt(11) + -4*(-2 + sqrt(11))).\nAnswer: -25*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 PM and 3:22 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 2, -28, 761?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*f - 60*f - 91*f - 154*f - 766*f in the form i + q*f and give q.\nAnswer: -1085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6412\/377 - -222\/13. Put -0.1, 22\/13, r, 1, 2 in decreasing order.\nAnswer: 2, 22\/13, 1, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 552 - 545. Suppose -x + 4*n = -20970, -2*x - q*n = -12*n - 41943. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o - 32 + 14 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2, 0.2, 0.094, 1, -4\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 70.0541ml?\nAnswer: 0.0700541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 436\/17 at least as big as 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/58621 or 0?\nAnswer: 2\/58621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 4*a. Solve 2*m + a + 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 divided by 1449\nAnswer: -16\/1449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -2\/15, 10, -0.4, 1\/10, -264?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/6  (b) -12  (c) 4\/7  (d) -39  (e) 0.09  (f) -0.4  (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057) - (sqrt(2057) + -5 + sqrt(2057) + 1 - sqrt(2057) - sqrt(2057))**2) + -2 + -2 + sqrt(2057) + -4.\nAnswer: -24 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 659450 to the power of 1\/2, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 63.12765km in centimeters?\nAnswer: 6312765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99*m - 99*m - 192*m**3.\nAnswer: -192*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 108\/(-6) + 725\/75.\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1349 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*((sqrt(190) - (-2*sqrt(190) + sqrt(190) + sqrt(190))) + sqrt(190))*6*-5)\/((sqrt(2880)*-1)\/(2*sqrt(162))))**2.\nAnswer: 1385100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 477491*0.3.\nAnswer: 143247.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.026 - 0.406. Which is the biggest value?  (a) -1\/4  (b) -2  (c) t  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10.15 and 2.64896.\nAnswer: -26.886944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 6 + 2 = 0. Let q = 2 + p. Suppose q*r = -3*c + 31, -r + 47 = 5*c + r. What is the remainder when 25 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 PM and 10:35 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5 + (sqrt(17) + sqrt(17)*2)**2*3 + -3*sqrt(272)).\nAnswer: -12*sqrt(17) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 652336079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oookokxxkxox. Give prob of picking 2 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 + 29*l + 6171. Give o(-65).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 517045 is divided by 455.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:55 PM and 9:07 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 10. Suppose 3*o - 2*o - 3 = 0. Suppose -2*r + 7 - o = 0. Solve -v - 20 = k*v + 5*h, -4*h = -r*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50266537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16 by -9.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 3 = -5*k + 17, 16 = 4*k + 5*m. Suppose 0 = 5*l - 14 - 6. Calculate the highest common divisor of k and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 115312868822741 + -79565934080338721\/690. Let v = o + 79119765. Let z = v + 206\/69. Find the common denominator of z and 1\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/9 - 172\/(-36). Suppose -3*b - 15 + 0 = 0. Let w = z + b. Solve t - 5*t - 4 = w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 381423 and 1.82?\nAnswer: 694189.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 362767.\nAnswer: 19, 61, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.0078 and -0.01.\nAnswer: -0.020078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 54*c + 317. Let q be k(-6). Let o(j) = -j**2 - j + 7. Calculate o(q).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 445, 0.1, 2 in descending order.\nAnswer: 445, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 2)*(3 + 3 - 5)*(0*p + p + p) - 12*p - 11*p + 16*p.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, -5, -427, -13, 0 in decreasing order.\nAnswer: 1, 0, -2, -5, -13, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a**2 + 15*a - 12. Let v(s) = 3*s**2 + 22*s - 18. Let g(i) = 5*v(i) - 7*w(i). Let k be g(-6). Let l = 1 + k. Which is smaller: -2\/5 or l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 62 + -50. Let v be ((-2)\/u)\/((-2)\/(-3)). Let m = 113 - 563\/5. What is the closest to v in 0, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + g**2 + (-g**2 + 3*g**2 - 4*g**2)*(-1 + 0 + 0) - 4*g**2 - 8*g**2 + 2*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/(-6))\/(3*(-4)\/120). Suppose 2*z - 2*s = 1308, -2*s + 3254 = b*z - 3*s. What is the highest common divisor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 7 = -a + 13, 4*g - 8 = -3*a. Let r(p) = 406*p**2 - 10*p - 10. List the prime factors of r(g).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 139 - 137. Let b be (w - -28) + 9\/(54\/24). What is the greatest common factor of b and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -95\/4, 24 in descending order.\nAnswer: 24, -0.2, -95\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50936 is divided by 2828?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 85 = -6*f. Let u = f + -7. Suppose -r = 3*z + 2, z - 3*z = 5*r + u. Is z bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 3487*x + 3033701. Give z(-870).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -4*j**2 + 5*j. Let d(x) = x. What is d(t(i))?\nAnswer: -4*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 159565 (base 12) in base 9?\nAnswer: 621875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-18)\/10*(-14 + 9). Let j(i) = i + 1. Let p be j(v). Suppose -5*b + p*b - 7655 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 330\/(-65)*(-24765)\/(-3810)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 546339?\nAnswer: 3, 269, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 603657*m**2*w**2 - 26*m*w**2 - 5*m*w + 5*m - w**2 + 35*w wrt m?\nAnswer: 1207314*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 2*j = -8. Suppose -j = m - 2. Let w = -0.016 + -0.284. What is the third biggest value in 0.1, m, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4411 (base 6) to base 3.\nAnswer: -1101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2120574 is divided by 2120572.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -21*f - 18 - 9 + 332*f + 10. List the prime factors of j(5).\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 71784 + 2940?\nAnswer: 74724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 1 - 1)*(6 + 3 + 12) + 1 + 5 - 3 + 6 + 1 - 5)*(4 + 0 - 3)*(d**2 - 2*d**2 - 6*d**2).\nAnswer: 259*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/1452 and 29\/288?\nAnswer: 34848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -2*q - 4*i, 2*q + 5*i - 6 = 67. Let h = q - 26. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -118 - -88. Sort 3, -2, r, -5.\nAnswer: r, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.39936m in centimeters?\nAnswer: 39.936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*f - 3 + 3)*(-2*f + f + 8*f) - f**2 + 8*f**2 + 5*f**2.\nAnswer: 61*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 5*l + 13 = 0, 4 = 3*y + y + 4*l. Suppose 7*k + 48 = -5*k. Put 1, k, y in decreasing order.\nAnswer: 1, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (138\/33 - 0) + (-2)\/11. Solve -o*z + 10 = -6*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d6282 (base 16) in base 10?\nAnswer: 877186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o**3 + 12*o**2 - 36288*o + 1294704 = 0.\nAnswer: -111, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -5*y - 302, y + 4*s = -s - 65. Let i be (80\/y)\/((-1)\/6). Suppose 0 = -5*m + 12 + i. Solve m*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h**2\/4 + 75*h - 299\/4 = 0 for h.\nAnswer: 1, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77*-49.\nAnswer: -3773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3336466 (base 7) in base 2?\nAnswer: -1100100110011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 2*b**2 - 1 + (-5*b + 4*b - b)*(-b + 2*b + b) + 2*b**2 - 2*b**2 + 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 51254.1248 rounded to the nearest 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + n + 2*n)*(3*n**3 - 2*n**3 - 6*n**3) + (-2*n + 0 + 0)*(n**3 + 0*n**3 + 0*n**3).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-3*(sqrt(704) + sqrt(704)*1) + -1*sqrt(704) + sqrt(704) + -1))**2.\nAnswer: 384*sqrt(11) + 101380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 12 - 32 = 0. Let q(l) = l**2 + 3*l + 3. Is q(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*o**6 - 102*o**5 - 2*o**3 - 8578*o**2 - 1 wrt o.\nAnswer: -240*o**3 - 6120*o**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {k: 3, q: 1, s: 6, x: 2}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6072.0005691 + -6072. What is f rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 43761 = -5*i - 55324, 198203 = 2*z + i. Round z to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8\/1491 - 97091\/32802. Find the common denominator of -119\/20 and u.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -101154\/5 or 1\/11?\nAnswer: -101154\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 1:21 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 290 and 77285?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3324 * -99884.\nAnswer: 332014416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -2*i - 6. Let b(t) = 5*t - 4. Let p be b(3). Let k = i + p. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 15 = -0*x, -o + 9 = x. Let d(i) = 2*i**3 - 8*i**2 - 7*i + 2. Let k be d(-1). Let g be 0\/(k + 3)*1. Solve 0*m + o*m + 8 = g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 2 + 1)*(-4*k**3 - 4 + 4) + k**3 - 1 + k**2 - 1 + 1 to the form q*k + s + c*k**2 + z*k**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1837584 by -6.\nAnswer: -306264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5756397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130*d = -377 + 1937 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2371  (b) -47  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5529583.4000003 + 5529583. Let q = 0.35 - -0.05. Let o = q + n. What is o rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 426146?\nAnswer: 2, 7, 61, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, r: 11}. What is prob of sequence pr?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6927, -6957, -6985, -7011, -7035, -7057, -7077?\nAnswer: -7095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -r + 5*r. Suppose 0 = -5*l - p, 14*p - 12*p - 10 = 0. Put r, 0, l in descending order.\nAnswer: r, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k - 14. Let j(d) = 7*d + 5*d - 69 - 6*d - 2. Let y(r) = -2*j(r) + 11*l(r). Let g be y(-10). Which is the closest to 1\/2?  (a) -3  (b) 1\/10  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 622 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -19\/15 and 2*4\/48 + 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c + 4*c - 2*c + (c + 3*c - 3*c)*(-3 + 3 - 4) + 3*c - 2*c + 0*c - 1 - 2*c + c + 4.\nAnswer: -5*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-68)\/(-40))\/(-17)*(-25)\/15.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of 2*j**6\/45 + 34*j**5\/45 - 77*j**4\/24 + 5*j**3 + 23*j**2 - 3. Suppose r(s) = 0. Calculate s.\nAnswer: -10, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 32\/3*w + 128\/3 - 1\/3*w**4 + 17\/3*w**3 - 26*w**2.\nAnswer: -(w - 8)**2*(w - 2)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -265 = c + 4*n - 3*n, -5*n + 15 = 0. What is the common denominator of -145*(2 + 156\/(-75)) and (-2 - c\/(-24)) + -4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -5 - (-186 + 193 - 107)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 7*i**2 - 10*i + 1. Let r(p) be the second derivative of -p**4\/2 + 3*p**3\/2 - p**2\/2 + 142*p. Determine 6*r(c) + 5*t(c).\nAnswer: -c**2 + 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do 20 and -6\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 19395156481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3104 and 4736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {f: 2, i: 1, q: 1, p: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (420\/(-135))\/(((-12)\/54)\/1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16940 and 27225?\nAnswer: 762300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44.5845 - 0.0345. Let t = -0.55 + j. Let h = t + -43.892. What is h rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of -115 + 3*y + 1\/2*y**2. Suppose 4*r = 2*r - 14. Give b(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 8, -3*c - 2*h = -c - 6. Let u be 10\/4 + (-1134)\/476. Is c > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the third derivative of 29*o**4\/12 - 25*o**2. Let r(q) = 2*q**2. What is r(w(p))?\nAnswer: 6728*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = 3*n - 25, 4 = -n + z + 19. What is the smallest common multiple of n and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - p - 133 = -147, -2*p = -2*x - 28. Let w(c) = c**2 - 7*c + 1. Let o be w(6). Let b = o + 9. Solve x = -4*y + 3*y - b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10512920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 132 + -130. Suppose 2 - 1 = y*a + 5*z, 4*z = -4. Solve -a*r - 1 = 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 335 and 1650?\nAnswer: 110550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 340*b**3 - 662*b**3 + 325*b**3 - 12*b + 18*b**2 - 72.\nAnswer: 3*(b - 2)*(b + 2)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 2)*((4*n**2 - n**2 - 5*n**2)*(2*n**3 - 5*n**3 + 4*n**3) + 4*n**5 + 0*n**5 - 6*n**5).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -133 + 4?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0*(1 + (-2)\/1). Suppose -4*s + 13 + 7 = p. Put -1, 2, s in decreasing order.\nAnswer: s, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - 106 + 355. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30342 (base 6) to base 5\nAnswer: 112042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000019668112215 to 7 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10 and 415?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -17*c**3 - 2*c**2 + 8*c - 7. Let k(h) = -16*h**3 - 2*h**2 + 7*h - 6. Let x(q) = -6*k(q) + 5*p(q). Does 9 divide x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 3105.\nAnswer: -2\/1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**3 - 6*r**2 - 5*r + 3. Let m(f) = 3*f**3 + 17*f**2 + 14*f - 8. Let x(l) = -8*b(l) - 3*m(l). Factor x(n).\nAnswer: -n*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -58 - -63. Solve -p*r = -3*q - r + 32, -2*q - r + 3 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 783 and 696?\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of 0*b - 1\/6*b**6 + 0*b**5 + 0*b**4 + 1\/2*b**2 - 2 + 0*b**3. What is the second derivative of i(p) wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*4\/6 - 0. Let w be (2\/7)\/(4\/56). Let h be (-7)\/(-12) - 1\/w. What is the closest to 2 in h, -1\/3, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hzxqhhxxhxhxxxxhqzxx. Give prob of picking 2 z and 2 x.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 61, 136, 241?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-190)\/(-114))\/(((-24)\/(-9225))\/8). Calculate the highest common factor of 123 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of 0*f - 1\/6*f**3 + f**2 + 1\/24*f**4 + 1\/30*f**5 + 0. Determine y so that p(y) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/4*((-10 - -2) + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -21*(-2)\/(2 + 4). What is the second derivative of 0*p + 6*p**5 + 2*p - t*p**5 wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/300 and 15 - 8 - 83\/22.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 AM and 7:52 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 0.4, -19, -9, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 - -45. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 34459, 34463, 34479, 34513, 34571?\n\"Answer: u**3 - 3*u + 34461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 180961337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 18184595?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 571 (base 12) in base 14?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + (-8 - -9) + -11 - (1 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 829 - 377. Suppose -5*v + 5*m - 3185 = 0, -5*v - 2741 = 3*m + r. Let y = v - -1011. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 977 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 + 12 = -5*d. Let u = 6 - d. Let v(c) = -c**2 - 2*c + 1. Let z be v(u). Let b(q) = 3*q**2 + 2*q - 2. Determine b(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 5*u**2 - 6*u - 1. Let b(n) = -6*n**2 + 7*n + 1. Let x(o) = -6*b(o) - 7*f(o). Determine x(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-21 - (-1)\/1)\/(-2). What is the common denominator of (q*7\/294)\/(1\/33) and 18\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4*d + 36 = 0. Suppose -d + 9 = -3*p. Suppose -2*j - 19 = -c + p*j, 4*j - 124 = -5*c. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 11*r**2 + 3*r. Let p be q(10). Let g = p - 3. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 PM and 5:10 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1056, -1058, -1060, -1062?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m\/(m*m\/(m\/((m**(-16)*m)\/m))*m))\/m))\/(m*m**16)*m**(-3\/11)*m**4\/m*m assuming m is positive.\nAnswer: m**(-289\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2658 (base 15) in base 10?\nAnswer: -8183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/116984 and -145\/798.\nAnswer: 6668088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2457*s*x - 485*x + 1 wrt s?\nAnswer: 2457*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i + 259 - 163 = 4*x, 4*x + 4*i + 8 - 104 = 0 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*v**4 - 3*v**4 + 0*v**4 + (-2*v**2 + 4*v**2 - v**2)*(-9*v - 79*v + 2*v)*(-v + 0*v + 3*v + (0 - 5 + 2)*(2*v - 5*v + v)).\nAnswer: -687*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 18 from -4518.\nAnswer: -4536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 12, l: 1, d: 2, p: 4}. What is prob of picking 1 n and 1 d?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 116.5 * -1385.\nAnswer: -161352.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2. Let a(v) be the first derivative of v**3\/3 + 2*v**2 + 7. Let k(p) = -2*a(p) + 4*g(p). Find the second derivative of k(o) wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 9878064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 4*t + 124, 0 = -2*s + 2*t + 3*t + 85. Let d = s - 23. Let p(k) = k + 9. Calculate the remainder when d is divided by p(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -2*d - y + 14, -4*y = d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3363)\/(-5) - (-20)\/50?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -137, -116, -93, -68?\n\"Answer: r**2 + 18*r - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one eighteenth of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n - 9. Let o be t(-11). Calculate the remainder when (9\/(-2))\/(o\/(-12)) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 g when three letters picked without replacement from gbagkam.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 80 = -q, 3*f = 2*q - f - 168. Suppose -b - 32 = -q. Calculate the remainder when 111 is divided by b.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 527a (base 11) to base 8\nAnswer: 15510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7708974451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 15761384 less than 106.8515?\nAnswer: -15761277.1485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 11, y: 5}. Give prob of sequence yg.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -13*u - 5. Let z be q(-3). Let a be ((-8)\/(-10))\/(z\/85). Suppose 56 + 4 = a*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -465 - -749. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 2*i - 6. Let c(x) = -4*x + 12. What is -6*c(j) - 13*s(j)?\nAnswer: -2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 11 = 6*k. Let j be k\/(-4) - (-14)\/(-28). Solve -t + j = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 484 (base 10) to base 2\nAnswer: 111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*c - 3*w + 215 - 34, 0 = -4*c + 2*c - 320*w + 323*w + 44 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 24*o + 3*o**2 - 19*o - 2*o**2 + 2. Let d be a(-4). Is 25 a factor of 483\/14 - d\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -202201 (base 3) in base 11?\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -422, -2267, -6424, -13775, -25202, -41587, -63812, -92759?\n\"Answer: -147*z**3 - 274*z**2 + 6*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of k**5\/30 + 5*k**4\/3 + 2*k**2 - 45*k. Factor x(l).\nAnswer: 2*l*(l + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -580 - -4363. Suppose -33*u + o = -20*u. Is 45 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32421*y = -32403*y - 13356. Calculate the greatest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 3452 = 2780. What is the greatest common factor of x and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, u: 2}. What is prob of picking 3 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 6*q - 3*q - 2*q. Let b(l) = -7*l + 2*l + 7*l - l. Give b(u(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.476748 from 0.\nAnswer: 0.476748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**4 + 12771*v**3 + 3*v + 8088?\nAnswer: 24*v**2 + 76626*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzhh when four letters picked without replacement from {p: 3, h: 2, a: 1, z: 3, j: 1, i: 3}?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/(-5) + 8\/20. Is 12 a factor of k + (-1 - -2) - -25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3189 times -7.9?\nAnswer: -25193.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 24032661 + -3?\nAnswer: 24032655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17551534 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(52)*1 + 2*sqrt(13) + -4 + -1.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1960 divided by 40?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 345, 3352, 11719, 28152, 55357, 96040, 152907?\nAnswer: 228664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22220 (base 7) to base 13.\nAnswer: 271a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1031 + -2231334?\nAnswer: -2230303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 - 5*d + 8. Let u be ((-72)\/32)\/((-3)\/(-8)). Let x be a(u). Solve 3*h + 1 = x*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + (-4)\/2*-3. Suppose 8 + 2 = -k*a. Let h(m) = -7*m**2 + 5*m - 4. Let s(x) = 3*x**2 - 2*x + 2. Calculate a*h(l) - 5*s(l).\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -9*h - 41. What is the smallest common multiple of u(-5) and (-2)\/4 - (-46)\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 102573 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 644362471?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n*n**(-1\/49))))**37*(n**(-31))**1)**(-6) assuming n is positive.\nAnswer: n**(-1542\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7362 - 316*h**2 - 7362 to the form g + l*h + j*h**2 and give j.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 49463 divided by 698\nAnswer: 49463\/698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -15*i**3 - 25*i**2 + 25. Let q be ((-24)\/(-4))\/(-3) - -4. Let v(a) = -3*a**q + 3 - 9*a**3 - 3*a**3 + 10*a**3. Give -3*h(u) + 25*v(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*(0 - 2 - -2). Suppose -8 = -u - o, 3*u - 3*o = -q*u + 48. Suppose -z + u = z. Calculate the lowest common multiple of z and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 8:29 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 30.94701 micrograms?\nAnswer: 0.00003094701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 88 and 781.\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1601114, -3202225, -4803336, -6404447, -8005558, -9606669?\n\"Answer: -1601111*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -166367329*h - 794837176.\nAnswer: -166367329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4890383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 69564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -237.7 + 227. Let s = 11 + w. Sort 0, -2\/15, 2\/3, s in ascending order.\nAnswer: -2\/15, 0, s, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 13\/(39\/(-18)) - -7. Solve -5*g + 5*u = 1 + 4, -3*g = -u - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 5*u - 135 = 0, -91 - 14 = 3*s - 5*u. Let d = -19 - s. Calculate the least common multiple of d and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 213476513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -88?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -221*m + 223*m - 6*m**3 + 2*m**3 - 4*m**4 + (-10*m**2 - 17*m**2 - 20*m**2)*(-m**2 + m**2 - m**2).\nAnswer: 43*m**4 - 4*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 707, 5\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117001560 divided by 7160.\nAnswer: -16341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h - 5. Let u be x(4). Let o = 4.04 - 0.04. What is the third biggest value in u, -2, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 41 + 9. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 220398.\nAnswer: 2, 3, 109, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 72702 <= 72707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 + 15. Let f(t) = -t. Let o be f(a). Solve 0*q - o*q = 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -4*k**3 + k**2 + k + 10. Let u be d(-3). Let b = 152 - u. Solve -4 + b = -6*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3283 + -3280. Let m = -40.5 + 40. What is the nearest to -1 in m, -0.7, g?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15\/7 + -18\/7. Let s = 10\/3 + -3. Sort -4\/3, s, y in ascending order.\nAnswer: -4\/3, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*d - 177*d**2 + 89 - 92 + 172*d**2.\nAnswer: -5*d**2 - 12*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 55 = -5*f, -5*f - 16 + 68 = -2*z. What is the least common multiple of f and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -773*c + 143769. Give u(186).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 102500 or 100179?\nAnswer: 100179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -72.5343 less than -1?\nAnswer: 71.5343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 0*c = -2060. Let r(d) = -3*d**3 - 59*d**2 - 12*d - 18. Let g be r(-18). Let q = c - g. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*r - 3*r + 2*r + (3 - 4 + 2)*(3*r - 5*r + r) - 5*r + 26*r + 2*r + (-2 + 1 + 3)*(0 + 2*r + 0) to the form g*r + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 4 = -6*y - 4*m, 4*y - 2 = -m. Sort y, 3, 4 in descending order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -9*w**3 - 25*w**2 - 25*w - 14. Let x(p) = 5*p**3 + 13*p**2 + 13*p + 7. Let o(l) = -4*i(l) - 7*x(l). Let j be o(-8). Put j, -3, -5 in ascending order.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = y - 3. What are the prime factors of (3\/6)\/(y\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -47*k**2. Let c(x) = -253*x + 99. Let f(b) = -5*b + 2. Let r(n) = -2*c(n) + 99*f(n). What is v(r(j))?\nAnswer: -5687*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -3*g**5\/4 + 5*g**4\/4 + 4*g**3 - 3*g**2 = 0.\nAnswer: -2, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2 + 11642*u - 34944.\nAnswer: 2*(u - 3)*(u + 5824)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7.5 + 7. Let n = 8.5 + f. Are 1\/4 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**4)**19)**(-2\/15) assuming v is positive.\nAnswer: v**(-152\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1 - -10110010000110011?\nAnswer: 10110010000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2\/7 - 18*b\/7 + 480\/7.\nAnswer: -3*(b - 10)*(b + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 7:04 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 473.63796674 + 6.36215776. Let v = 480 - l. What is v rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.6  (b) -2  (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -157\/930 and 37\/558450.\nAnswer: 17311950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-3)\/9)\/(-1))\/(4\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 47 + 84 = -5*i + 102, -2*c = 37*i + 220 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**5 - 156*t**4 + 1596*t**3 - 1444*t**2.\nAnswer: 4*t**2*(t - 19)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 163 + -168. Let g(u) = 9*u + 56. Calculate the remainder when 63 is divided by g(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/4*9\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -999*t**2 - 776223*t - 201041757 - 3\/7*t**3 = 0 for t.\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 + 1. Let g(o) = 3*o**3 - 3. What is 4*g(p) + 11*n(p)?\nAnswer: p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h - 2*h**2 + 4*h)*(-83*h + 39*h + 46*h - 265).\nAnswer: -4*h**3 + 530*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 54, 0.4, -1\/142, 3?\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 871 is divided by 834.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0.092, -3.56.\nAnswer: -3.56, 0.092, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 2 - 2)*(25*m - 59 + 59 + (4 + 1 - 3)*(3 - 3 + 2*m)).\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -921 = -3*d + 48. What are the prime factors of d?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -14\/128061 and -47\/65162.\nAnswer: 269184222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 475207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7677 + 7681. Solve i*h - 9 + 25 = 0, 0 = 2*w - 2*h - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21666.6919634 plus 0?\nAnswer: -21666.6919634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 68 = -x, 0*x - 70 = -5*y + 5*x. Let b be (-3)\/1 + -5 + y + -5. Suppose 3*w + 0*f + b*f = 311, 0 = -w - 2*f + 105. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d = v - 774 + 758, 0 = -41*v + 451 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30145 is divided by 201.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2 + a + 4. Let w(k) = 5*k**2 + 40*k - 60. Let x(z) = 6*v(z) - 2*w(z). Give x(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.02 - -3.02. Let n = 1.151 + -0.051. Which is the closest to n?  (a) t  (b) 0.3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*l = 13*l + 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-226 + 111 + 91)*(w + 4*w - 4*w).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1\/3)\/p**(-13) assuming p is positive.\nAnswer: p**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -11.8 * -0.045\nAnswer: 0.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, o: 8}. Give prob of picking 2 p.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = w - 13, 3*b - 2*w + 3 + 2 = 0. What is the remainder when 13 is divided by b - (-14 - 6\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -260 - -149. Let s = a + 118. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 6*j - j. Suppose -3*s - j*g = 15, 4*s + 39 = -s + 2*g. Is s at least -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = -y - 12, -5*y - 18*w + 25*w - 14 = 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 318*g - 207*g - 555 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, -5, -1 in descending order.\nAnswer: 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -7331957.\nAnswer: -733195.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -675142 (base 9) to base 7.\nAnswer: -3301541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(187) + (sqrt(187)*-3 + sqrt(187))*-4)\/sqrt(11).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -686 at least as big as -234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r**4 + 10*r**4 + 7*r**4 + (-2*r**3 - 2*r + 2*r)*(r + r - r).\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 23 - 2*o**2 - 14*o - 12*o + 16*o - 8 + 39*o. Let b be j(15). Put -2, b, -5 in descending order.\nAnswer: b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 5*j**2 - 8*j + 1. Let t(i) = 1. Determine -f(p) + t(p).\nAnswer: -5*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 8*w**2 + 29*w + 105. Let v be r(-6). Solve -h - 4*j = 0, -2*h - 6 = 5*j - v*j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-3))\/(105\/315).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 223 - 261 - (-26 + -2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00095318236 to six dps.\nAnswer: 0.000953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w - 16 = -6, 0 = 2*k + 3*w - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of 0*u - 154 - 13\/2*u**2. Let p(z) = -z + 2*z + z. Determine p(c(o)).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o**(-1)*o))\/o*o*o\/((o*o**1)\/o))\/(o\/(((o*((o**(1\/2)*o)\/o)\/o)\/o*o)\/o))**(1\/7) assuming o is positive.\nAnswer: o**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 4*k**2 - 12*k + 35. What is the remainder when 293 is divided by m(5)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11787 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 316 and 3397?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -263 - -262.9. What is the nearest to -2 in 0.1, -3, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4287.6865 to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - (-138)\/5 - 3\/5. Suppose p = 5*i + 7*i. Suppose 8 = -f - 5*d, 0 = f + 2*f + 4*d + i. Solve -f*v - 14 = -w, 6 = -4*w + 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 741788 (base 11) to base 3.\nAnswer: 2020100220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -387, -398, -431, -498, -611, -782?\n\"Answer: -2*y**3 + y**2 - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/20 + 39\/12. Solve w*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6 + 1)\/(-5)*2. Suppose 858 - 858 - 5*p**u = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 1  (b) -4  (c) -1  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c - 3. Let m(a) be the second derivative of a**3\/2 - a**2 - 2*a. Let t be m(2). Let g be i(t). Solve g*o - 1 - 9 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -4*l + 35. Let p(n) = -n**3 + 30*n**2 - 31*n + 79. Calculate the remainder when p(29) is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29\/(-551) - (-330)\/855?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5748 and 28261.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30926917 is divided by 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h*h**(4\/7))\/((h*h**7*h)\/h))\/(h**(-13\/7)\/h*h*h*h**(-42)))**(-23) assuming h is positive.\nAnswer: h**(-6026\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 5*b + 4. Let z be w(-5). Suppose 20 = z*j, -13 = 3*d + d - 5*j. Suppose d*x + 15 = 8*x. Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*(-3)\/6 - -2. Suppose 667 = 2*p + 4*z - z, p + g*z = 329. Suppose -p = -5*v + 152. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1083)\/152)\/(-19)*(-416)\/39?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5681 = -673*k + 130*k - 21971 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -763, -3 in descending order.\nAnswer: 9, -3, -763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 + f. Let y(o) = -4*o - 32. Determine y(i(m)).\nAnswer: -4*m**2 - 4*m - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - 14. Let x be (-69)\/c + (-4)\/(-10). Let o(h) = -h - 4. Let y be o(-2). Sort 2, y, x in increasing order.\nAnswer: y, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34945137083997391*m - 2 + 2 - 34945137083997391*m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 123?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24.5658 - 0.0658. Let g = i - 86.5. Suppose -2*t - 8 = 2*t. Is g > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.04 - 0.04. Let a = 3 + q. Let i = -5.016 + a. What is i rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*-34\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m + 6. Let b be h(10). Suppose 0 = y + 136 - 140. Calculate the lowest common multiple of b\/(-16) - 14\/(-8) and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + z = -2. Let t(n) = 1 + 3*n**2 - 3 - 3 + 4 + 0. Calculate t(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-113)\/2486)\/((287\/(-616))\/41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17*(-2)\/(-64)*(-8130)\/(-23035)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/7*o**2 + 34*o.\nAnswer: -2*o*(o - 119)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 313 and -0.066254649.\nAnswer: 312.933745351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/7, 4, -0.4, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -5, 1\/91, -0.153, 1, -0.3 in decreasing order.\nAnswer: 1, 1\/4, 1\/91, -0.153, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7664*p - 2500*p - 3185*p)*(12*p - 12*p - 3*p**2) + (p - p + p**2)*(-6*p + 2*p + 3*p) to the form m*p + y*p**3 + x*p**2 + g and give y.\nAnswer: -5938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*v + 23422275 - 23422275 - 198*v**2 - 12*v.\nAnswer: -198*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 7*k - 5. Let v be p(1). Let b be ((-2)\/(-14))\/(1\/(-2)). Let s = 232 - 232. What is the nearest to -2 in b, s, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -4*i**4 - 57788*i**3 - 202000452*i**2 + 48905947420*i + 98619434408 = 0.\nAnswer: -7337, -2, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**2 + 6*c + 4. Let t be w(6). Let n(u) = -u - 1. Let l be n(-4). Suppose -2*s - 12 = -t*i - 0*i, l*s - 9 = -3*i. Is 3 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5230605602.\nAnswer: 2, 2615302801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1331) - (6*2*sqrt(1331) + sqrt(1331))) + 2 - (4 + sqrt(1331) + 1 + -1*sqrt(1331) + 4))**2.\nAnswer: 1848*sqrt(11) + 191713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -165961 and 4?\nAnswer: -663844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 285 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -42*f**2 + 26*f**2 + 17*f**2 + 1847*f - 1562 + 1559 as k*f**2 + h + g*f and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 7363*d - 29. Let q(v) = -2454*v + 11. Determine -8*q(b) - 3*w(b).\nAnswer: -2457*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 AM and 8:22 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.26106 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) -0.5  (b) 0.00893  (c) 0.09  (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -2 - 8*a - 30*a + 55*a. Let k(t) = -t - 1. Let i be k(-2). Let q be o(i). What is the highest common factor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -2*c - 8. Let b be r(-5). Let g = -16 - -49\/3. What is the nearest to -2 in b, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -89\/3 + 29. Let f = 7.8 - -29.2. Let l = -36 + f. What is the closest to l in -1\/4, q, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/2 - -1)*8\/20. Suppose -3*g + 4*u + 35 = 2*g, 4*g - u = 17. Suppose 2*t + i = -4*q + g*q, -2*t = 3*q - 5. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -21 - -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -14, 3, 5, 0 in decreasing order.\nAnswer: 5, 3, 2, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-30) + 4\/10 + (-2300)\/(-1000)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xpqmpdqxdpxdqxxqxqx. What is prob of sequence xx?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 74058109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 321418000 rounded to the nearest 1000000?\nAnswer: 321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11 - 1165*m + 822*m - 11 + (0*m - 2*m + 4*m)*(0 - 5 - 6).\nAnswer: -365*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -4061.5339 take away 0.11?\nAnswer: -4061.6439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2748 or -13741\/5?\nAnswer: -13741\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4852 - 9192 = -v. Suppose 2247 = 11*j - v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/((-156)\/(-51) + -3). Suppose 2*q = 5*l + a, 2*l - 2*q = 4*l + 4. Let v(s) = s**2 - s - 4. Let g be v(l). Solve -3*h = -h - g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1834774671.\nAnswer: 3, 14407, 42451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (19*p + 29*p - 43*p)*(-8*p - 3 + 3) + p**2 + 0*p**2 - 2*p**2 to the form s*p**2 + r + k*p and give s.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/(-126)*483\/690\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of d**2 + 18*d - 131. Let y be h(-14). What is the closest to -2 in y, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52064500 rounded to the nearest 1000000?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.435 and -27?\nAnswer: 11.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + 3*p**2 + 8*p - 22. Let y be k(3). Solve 0 = y*c + 15 - 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-136087)\/(-21) + (-21)\/63. What is the greatest common divisor of w and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + i = 33217, 0*h + 16596 = h - 2*i. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1632, -3269, -4904, -6537, -8168?\n\"Answer: n**2 - 1640*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 4  (b) 5  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 224 and 56.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i - i + i)*(1 + 2 - 5) - i - i - 3*i + i + 0*i - 2*i + (-4 + 0 + 2)*(-2*i - 5*i - 7*i) + 2*i - 6*i + 3*i - 3*i + 2*i + 0*i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zba when three letters picked without replacement from {q: 1, z: 3, p: 2, a: 6, b: 1}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 72*r + 15 + 17 - 34 + r**4 + r**4 + 108*r**2 - 63*r to a*r**2 + o*r + p*r**3 + q + t*r**4 and give a.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -9627, 24, -5 in ascending order.\nAnswer: -9627, -5, -4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - -2012?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-56)\/(29 + -5909)*-7\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -9*b**2 + 23*b + 8. Let y(t) = -199*t**2 + 29*t + 10. Let j(s) = 28*s**2 - 3*s - 1. Let h(r) = -7*j(r) - y(r). Determine -17*h(i) - 6*u(i).\nAnswer: 3*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/((-975)\/26) - 155\/525?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10?  (a) 3  (b) -1  (c) 5.4  (d) -1\/6  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of -x**4\/24 - 28*x**2 - 8. Let f(u) = -2*u - 997. Give f(y(h)).\nAnswer: 2*h - 997","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 140 times -2\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-2)\/4*(-1359 - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -61\/2*j**4 - 89\/3*j**3 - 148 + 0*j + 0*j**2. What is the third derivative of s(d) wrt d?\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*x = 220*x - 3961 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 538375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j - 11. Let k(v) = 2*v + 1. Let u be k(4). Suppose -17 = -u*d + 73. Let t be g(d). Is t bigger than 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ymmy when four letters picked without replacement from {m: 3, y: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 244644657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(77)\/(1*sqrt(11)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 672880727 greater than 672880728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6080 and 1672.\nAnswer: 66880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -67537415*c**2 - 47608743.\nAnswer: -135074830*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000413722 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 75983, 75983, 75989, 76001, 76019, 76043?\nAnswer: 76073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 10 + 45 = 3*v, -5*o - v = -35. Suppose -o*y + 2*y + 10 = 0. Suppose m + 0*m = y. What is the remainder when m is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - ((-11 - -9) + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three halves of a centimeter in millimeters?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 10*n + 1. Suppose -4*z - 7 = -3*g - 23, -2*z + 8 = -3*g. Let r(b) = -9*b. Determine z*r(h) + 3*t(h).\nAnswer: -6*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -80*g**3*h + 2*g**3 + 47*g**2 + h wrt g?\nAnswer: -480*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 4*p**5 - 12*p**4 - 16*p**3 + 64*p**2 - 64 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 6, r: 6, q: 2, o: 3, k: 2, g: 1}. What is prob of picking 1 t and 1 q?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 78, 87, 108, 147, 210, 303, 432, 603?\n\"Answer: t**3 + 2*t + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -26*n + 14*n. Let k = -0.62 + 0.6. Which is the third smallest value?  (a) n  (b) k  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 154.9 * 2\nAnswer: 309.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 + 3*a**2 - 3*a. Let k(g) be the third derivative of g**6\/120 - g**5\/30 + g**4\/12 - g**2. Suppose -55*w = 190 - 25. Determine w*k(b) - 2*t(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23892, -47784, -71676, -95568?\nAnswer: -119460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1764 - 12.\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -89 - -123. Let l be (4 - -1)*3458\/65. Suppose -7*d = -5*d - l. Calculate the remainder when d is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: How many minutes are there between 5:38 PM and 1:59 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 576323.1kg?\nAnswer: 576.3231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21\/44 - 5\/11. Is 0 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5213.\nAnswer: 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -5*q + 37. Let y be f(-7). Find the first derivative of 42*s**2 - 42 + 32*s**2 - y*s**2 - 62 + 53*s wrt s.\nAnswer: 4*s + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -13 + 0*q**4 + 2\/45*q**5 + 0*q**3 + 0*q + 1\/27*q**6 + 0*q**2. Determine j, given that p(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y**2 + 1035 - 1035.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1347221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*d + 32*d + 57640 = -33*d. Is d a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 5*g + 14684 - 3429 = 0, 5*g = -25. Let q = -1044 - t. Suppose 8*k - 14*k + q = 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of -79*v**4\/3 + 41*v**3\/6 - 28*v**2 - 30*v. What is the derivative of u(w) wrt w?\nAnswer: -632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(-2\/3)*u*u**3)**(4\/37) assuming u is positive.\nAnswer: u**(68\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 4*t - 13864, -5*t + 10472 = 5*p - 6858. Is 3469 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 PM and 10:47 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00029325543 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 301381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2898*y**2 + 16056*y**2 - 2897*y**2 - 10265*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.00768?  (a) 2\/105  (b) 3  (c) -2  (d) 19\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2052304*m**2 + 1322*m + 2112.\nAnswer: 4104608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b**2 - b**2 + 7*b**3 + 4*b**2.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 18635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 70\/22 + 2\/(-11). Let y = 0.02 - -7.98. Let t = 8.3 - y. What is the second biggest value in 0, t, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of -79*y**6\/30 + y**5\/4 - 437*y**3\/6 - 3*y - 186. What is the second derivative of n(l) wrt l?\nAnswer: -948*l**2 + 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, -7\/113, -1\/3 in decreasing order.\nAnswer: 2\/5, -7\/113, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + t + 4*u + 504 = 0, 5*u = 4*t + 495. Let p = 412 + t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i - 1. Let o(r) be the third derivative of r**4\/3 - 2*r**3\/3 - 2*r**2. Let g be (-4)\/3*36\/8. Calculate g*d(x) + o(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -40 + 40 + 65*c to the form x + w*c and give w.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 10513*w + 12 + 6781*w - 17293*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kipatkaktakimap. Give prob of sequence pk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -159 divided by -82.\nAnswer: 159\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + -9. Let l = w + 8.9. Is l smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -5*o**4 + 2*o**3 - 2*o**2 + 3*o - 572. Let g(w) = w**4 + w**3 - w**2 - w - 2. Let d(s) = 2*g(s) - u(s). Differentiate d(c) with respect to c.\nAnswer: 28*c**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**2 + h**2 + 2*h**2 + h**2 + 2 - 2 + 3*h**2 - 3*h**2 - h**2 + (-2 + 2 - h**2)*(-1 + 4 - 1) - 5*h**2 + 6*h**2 + 7*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, b: 4, k: 4}. What is prob of sequence tbt?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5524 or 5523?\nAnswer: 5523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/7 + (-2)\/7. Let g = z - -4. What is the lowest common multiple of g and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 169 - 98.5. Let v = -71 + f. Which is the fourth biggest value?  (a) -5  (b) 2\/11  (c) v  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + 6*(((sqrt(180)*-2 + sqrt(180))*2 + 1)*1 + -1))**2.\nAnswer: -25921 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, i: 1, l: 1, p: 6, a: 3, x: 1}. What is prob of picking 1 a and 2 p?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**5 + 77*s**4 + s**3 - 77*s**2.\nAnswer: -s**2*(s - 77)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2160 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -47 + 49. Suppose -d*p - 2*n + 15 = -7*n, -3*n - 17 = -2*p. Is (-4)\/p - 5277\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 458917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**2 + 109 - 50 - 59.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 81935 divided by -81935?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30 - -33. Suppose -4*a + 0*a + 22 = 3*m, -j*m = a - 10. Solve 3*d - 2*s = -13, -2*s + a = 2*d + 3*s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1235078 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 x(w) = 4733*w**2 - w - 4736*w**2 - w - 5*w + 15 + 0*w. Determine x(-7).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 390554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 223, 235, 271, 343, 463, 643?\nAnswer: 895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**5\/5 + 2*t**4 - 1234*t**3\/5 - 11426*t**2\/5 + 42704*t\/5 - 30056\/5 = 0. Calculate t.\nAnswer: -17, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p**2 + 0*p**2 + 53375 - 28*p**2.\nAnswer: -28*p**2 + 53375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 i when four letters picked without replacement from wwiwiwi.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*t, -3*b - 8 + 29 = -3*t. Let r(i) = -15*i. Let n be r(-1). Calculate the greatest common factor of n and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/3*(-5)\/(-10). Let v = -2.84 + 18.74. Let n = 20.9 - v. Which is the closest to 2?  (a) 0.4  (b) n  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 43*t - 647. Determine o(29).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-388)\/17 - (-1677)\/(-9503).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23812?\nAnswer: 2, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 (base 9) in base 13?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-230)\/161 - (-384)\/(-378) - 5\/9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 140*q**2 - 9 + 18 - 5 - 4. Let o(b) = -3*b**2. What is v(o(n))?\nAnswer: 1260*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132\/(-165)*(-3)\/(-18).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -444 + 471. Suppose -9*a = -4*a, 0 = -3*x - 2*a + t. Is x less than 83\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 45130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -618*w - 550*w - 15*w + 16562 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -10  (b) 260  (c) 4  (d) 3  (e) 2.41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x - 3 + 6 = -3*d, 2*x = -d + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*l - 222*l + 108*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -115*r - 5666. Give u(-49).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 6*f - 44. What is u(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -558 divided by -279.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 14444057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 3*d = -90, -6 + 0 = -2*d. Calculate the least common multiple of n and 69.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(220)\/sqrt(10))\/sqrt(11))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the third derivative of j**5\/60 - 35*j**4\/24 - 43*j**3\/6 + 50*j**2. Differentiate n(v) wrt v.\nAnswer: 2*v - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -821520619 divided by -394393\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 3*z = 7*z + 5021, z + 10063 = 2*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/65)\/((-505)\/505)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -315734821 + 315724514.19976. Let m = h - -10306. Let y = m + 0.8. Round y to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(27\/(-6)))\/((-114)\/(-57))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 + 15642*o + 31272.\nAnswer: 3*(o + 2)*(o + 5212)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 99\/52 and (112\/9)\/(-4)*(-108)\/(-702).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -3*v**2 - 3*v - 1. Calculate h(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*h + 2250 = -7*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1111 + -10?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 2. What is the second derivative of 9*j**v + 3*j - 9*j + 3*j wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 - 8*v - 2. Let r(c) = -c**2 + 9*c + 8. Calculate the remainder when l(-6) is divided by r(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d + 1. What is t(15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4394608 or 4394609?\nAnswer: 4394608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the third derivative of h**4\/12 + 9*h**2. Let n(y) = -3 + 0 + 2 - y. Let l(x) = 20*x + 18. Let r(p) = 2*l(p) + 36*n(p). Determine t(r(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*y + 5*y + 230 = -6*y - 25*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of -y**4\/2 + 30*y**3 - 665*y - 495. Differentiate j(s) with respect to s.\nAnswer: -6*s**2 + 180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1214*-0.7\nAnswer: 849.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 4*w + 4, y + 4*y - 9 = 3*w. What is the second derivative of 2 - 5*i**w - 2 + 8*i wrt i?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dotkhddohsts. Give prob of picking 2 t and 2 s.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus 4591?\nAnswer: -4590.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a - 2. Let p be f(5). Suppose 4*c - p*k + 538 = -146, -5*k + 342 = -2*c. Is ((-2)\/3)\/(6\/c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26632637.\nAnswer: 37, 719801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 265699.7km?\nAnswer: 265699700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**3\/5 + 354*g**2 - 7054*g\/5 + 5286\/5 = 0 for g.\nAnswer: 1, 3, 881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 210 and 26810?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -t - 10*t**4 + 0*t - 12*t**3 + 9*t**4 to the form o + i*t**4 + g*t**3 + w*t**2 + j*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 3983*l + 7971. What is a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1902.6423 rounded to the nearest ten?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the second derivative of -5*h**4\/12 + 35*h**3\/6 - 15*h**2 + 412*h. Factor k(g).\nAnswer: -5*(g - 6)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 776569 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**2 - 20*t + 62. Let l be a(6). Solve -2*n + l*n - 60 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5638*x**2 + 56351*x\/5 + 58\/5.\nAnswer: -(x - 2)*(28190*x + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -189 - -243. Calculate the remainder when m is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 12 + 11 + (2 + 0 + 0)*(-3 + 1 + 0) + 2 - 1 - 2)*(2*b**5 - b + b).\nAnswer: 34*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 77 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(6\/(-10)) - (-284)\/(-52).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (5 - -3 - -2) + -2 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(112) + (-1 + sqrt(112) + sqrt(112))*-6) + (sqrt(112) + 1)*1 + -2)**2.\nAnswer: -400*sqrt(7) + 11225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00006422 to six decimal places.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000077892096 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-33)\/4*(-2 - (-136)\/(-12)). Which is bigger: 109 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2144241 - 3?\nAnswer: -2144244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k = -3*m + 22, 4*k - 1079 + 1085 = -5*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 55, 247, 569, 1021, 1603?\n\"Answer: 65*h**2 - 3*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -94, -192, -290, -388?\n\"Answer: -98*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2725\/253 - -300\/23. Let q = -7467 - -74593\/10. What is the common denominator of q and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -3*l**4\/5 + 27*l**3\/5 + 99*l**2\/5 + 21*l + 36\/5 = 0?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 471, 746, 1021, 1296, 1571?\nAnswer: 1846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, i: 4, w: 2}. What is prob of picking 1 w and 2 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51002075.\nAnswer: 5, 67, 30449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 93 - -1. Let m = d + -98. Let u(k) = -2*k + 2. Let w be u(2). Sort 0.5, m, w.\nAnswer: m, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*o = 9*o - 1482. Suppose 0 = 3*c + 4*u + 8, -c + 4*u = -6*c. Let b = c + 10. What is the remainder when o is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 + 3*v - 13. What is the remainder when 27 is divided by t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**3 - 16*c**2 + 43*c + 4. Calculate r(13).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of 7*u**4\/32 - 65*u**3\/8 - 171*u**2\/16 - 4021*u. Determine q so that l(q) = 0.\nAnswer: -3\/7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 1:29 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 24\/3*(-2)\/4. Let c be -4 - -2 - 0 - v. Let a(y) = -3*y - 3. Let b(j) = j + 1. What is c*a(g) + 4*b(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(360)\/(sqrt(8)*-1))\/(5*sqrt(36)) - (2*-1*sqrt(5) + -2 + (sqrt(5) - (sqrt(5) - sqrt(25)\/sqrt(5))))**2.\nAnswer: -41*sqrt(5)\/10 - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 904653117 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 11) to base 14\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o = 17*o - 18. Suppose -5 = r - o*r. Let n be (-1)\/(2*(-4)\/120). Sort r, n, 4 in descending order.\nAnswer: n, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 424 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from -308575.\nAnswer: -308580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 7607080 + 0.4\nAnswer: 7607080.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 24*f**2 + 4*f + 13. Let l(z) = 2*z. What is l(w(s))?\nAnswer: 48*s**2 + 8*s + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 24959*o**2 - 26*o + 80. Let g be j(-16). Round g to the nearest 100000.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(637) - (sqrt(637) - (2 + sqrt(637))**2)) + -1 - (5*(1 + sqrt(637))*3)**2.\nAnswer: -141628 - 3066*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 7272081?\nAnswer: 7272081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1841655 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 m(v) = 4*v**2 - 4*v - 1. Let k be m(2). What is the third derivative of 12 - k + 82*y**3 + 8*y**2 - 3*y**3 wrt y?\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s + 24. Let r(u) = 7*u - 2. Determine r(i(g)).\nAnswer: 14*g + 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -101*b - 18*b + 34*b - 107*b to h*b + j and give h.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4929*w - 91*w**2 + 4914*w + 5*w**2.\nAnswer: -86*w**2 - 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(33)*4 + sqrt(33))\/(-5*sqrt(44)\/sqrt(4)).\nAnswer: 11*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {h: 3, a: 2, o: 1, x: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 5*f - 3*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9.7 and -3.99.\nAnswer: 5.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 138325890 to the nearest integer?\nAnswer: 11761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*m - 6493 + 46606. What is m rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0663158 millimeters to meters.\nAnswer: 0.0000663158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -2*z + 3. Let p be (-32)\/6 + 1\/3. Let u be 222\/15 - 1\/p. Suppose 0 = 4*y - 1 - u. Give a(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from alwcllllc.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3228334?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -9, 0.3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1*(sqrt(336) + -5*(sqrt(336) - sqrt(336)*3) + sqrt(336))\/(sqrt(72)\/(sqrt(6) + sqrt(384))))**2.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 14*r + 882. Let o be m(-63). Put -85, 4, -5, o in ascending order.\nAnswer: -85, -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -146.999923 - -147. What is i rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 AM and 9:02 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(2 + sqrt(1008) + sqrt(1008)))**2 + -1 + sqrt(1008) + (sqrt(1008)*3)**2.\nAnswer: 3468*sqrt(7) + 154367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.15, -3, 0.8, 11.6 in ascending order.\nAnswer: -3, -0.15, 0.8, 11.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 - -16. Suppose w + 16 = -a*w. Put w, 0, -4 in decreasing order.\nAnswer: 0, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/5605 and 34\/2655.\nAnswer: 50445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2*p = -33, y - 7 = -2*p + 4. Suppose 4*q - 3*q = y. What is the first derivative of -3 - q*i + i - 4*i + 2 wrt i?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 - 40*r - 345. Let n be k(-24). Suppose 25 = -5*x + 220. Calculate the highest common factor of n and x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -6057581.\nAnswer: 2\/6057581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 + 4 = -2*i. Suppose 7*w - 32 = i. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 150 = -0*o - 3*d + 168, -2*o - 2*d - 21 = o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 bigger than 1204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 91\/(-117) + -1 - (-1 + -1)*1. Let -o*u - 2\/9*u**5 + 2\/9 + 2\/9*u**4 - 4\/9*u**2 + 4\/9*u**3 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jnj when three letters picked without replacement from npnijpjppnnjnjppn?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j + 3*j - j)*(-4 + 2 + 1)*(5535*j**2 - 2755*j**2 - 19 - 2761*j**2).\nAnswer: -38*j**3 + 38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 - 32*j**2 - 4*j + 4. What is the thousands digit of l(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {z: 1, n: 3, x: 3, h: 2, f: 2, o: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.4 + -0.6. Let o = 12.1 - 12.6. What is the second biggest value in 4, d, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 + -27. Let j(c) = -2*c - 4. Let q(x) = -x - 2. Determine i*j(r) + 9*q(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -g**3*i + 5*g**3 - 477*i**4 + 7 wrt i?\nAnswer: -g**3 - 1908*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -10. What is the third derivative of 2*h**3 + 0*h**4 - g*h**2 - h**4 - 2*h**3 wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 17\/35060?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5*38\/3*3. Suppose -100 - 627 = -108*m + 353. Calculate the greatest common factor of m and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 50, -16 in increasing order.\nAnswer: -16, -3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of -u**8\/560 - u**7\/70 - u**6\/20 - u**5\/10 - u**4\/8 + u**3 - 6*u**2. Let d(i) be the first derivative of h(i). Factor d(z).\nAnswer: -3*(z + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 11, n: 1}. What is prob of sequence wn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ipwupwpwirirrx. What is prob of sequence ipu?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -5425941?\nAnswer: 5\/5425941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 10325766 divided by -101233\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/4 - (-25)\/1. Suppose 0 = w + 4*w - a. Suppose 0 = w*f - 32 - 8. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28\/10*15\/(-30)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 128434786, 128434788, 128434790, 128434792, 128434794, 128434796?\n\"Answer: 2*k + 128434784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -8\/5  (b) 3  (c) -0.1  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5532)\/(-123) + -8*(-21)\/6888.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 28 and 13343568?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: 183992, 184176, 184368, 184568, 184776, 184992?\nAnswer: 185216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.2832 times 0.4731?\nAnswer: 1.08018192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**14)\/r)**44\/(r**(2\/33)\/r**0) assuming r is positive.\nAnswer: r**(-20330\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-21))\/(13\/(-702)*-30)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + 2 + -2)*5 + 1.\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -5\/3, -6\/11, -7.7, 25, 6.\nAnswer: -7.7, -5\/3, -6\/11, -0.2, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 3040030?\nAnswer: 3040020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -210 - -220. Solve -17*l = -15*l + f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -121*k**2 + 47*k**2 + 128*k**2 to the form a*k**2 + l + h*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1212211 - -3?\nAnswer: -1212203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 - 32. Calculate the common denominator of i and (-5)\/(-5) - 3\/9 - -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**3 + 129*a**2 + 267*a + 135.\nAnswer: -3*(a - 45)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the first derivative of 8 - 2\/3*y**3 + 0*y**2 + 0*y. Let w(n) = n + 1. Let p(l) = 1. Let z(d) = 2*p(d) - 2*w(d). Calculate z(u(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -55\/5689448 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 10*i**3 + 5*i**2 + 5*i + 6. Let p(u) = 11*u**3 + 6*u**2 + 6*u + 7. Suppose -2*q + 13 = 3*z - 0*z, 3*z - 2*q - 17 = 0. Determine z*p(a) - 6*k(a).\nAnswer: -5*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (594 + 435 + 709)*(7*u + u - u)*(-2 - 2*u + 4 + u) in the form t*u**2 + v*u + i and give t.\nAnswer: -12166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of o**9\/504 - o**5\/20 - 3*o**2\/2 + 4. Let i(f) be the second derivative of g(f). Find the third derivative of i(k) wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 26 - 18. Suppose -i + 5*a = 4, -h*i + 26 = -4*i + a. Suppose 4*y = 2*j + 6, 0*j - 2*j = -y - i. Calculate the highest common divisor of j and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1617)*-2)\/(sqrt(1584) - -2*sqrt(1584)))**2.\nAnswer: 49\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3*v**2 + 8*v + 5. Let s(m) be the first derivative of -m**2\/2 + 14*m + 1. Calculate the remainder when g(-5) is divided by s(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 348 = -4*z + 1384. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 + 2*z - 1. Let l(d) = d - 16. Let q be 2\/(-3) + (-239)\/(-3). Let k = 97 - q. Let v be l(k). Determine i(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 27 - -2 - (1 - -1) and ((-104)\/5)\/((-288)\/2160).\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -204*i**3 + 250882*i**2*j*x + 11*j*x - 43*j + 16579*x - 2 wrt i.\nAnswer: -612*i**2 + 501764*i*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 6)*(-12 + 30984\/2580).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/13  (b) -33  (c) 3\/5  (d) 4  (e) 0.87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -129.9292 or 3\/31?\nAnswer: -129.9292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h**2 + h + 6. Let x be d(3). Suppose 31*v + 8 = x*v. Does 20 divide 0\/(v\/(-2)) - (-119 + 9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -99?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d - 5*g + 4271, -2*g - 1409 = 5*d - 6*d. Suppose 4*y - s - 1510 = d, -20 = -4*s. List the prime factors of y.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 11*d**2 + 1. Let s(x) = x**2 - 293*x + 2830. Let n be s(10). Let w(i) be the first derivative of n*i - 1\/2*i**2 - 10. What is w(u(o))?\nAnswer: -11*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - u = -y - 4, 3*y = -u - 10. Let r be 1\/((-220)\/(-116)) - 1. Let i = 4\/55 + r. Is u not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -23.36 + 0.36. Let q = -402455.896 - -402432.89599768. Let p = q - a. Round p to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6249.4 + -6249. Sort -59, 0, a, 2, 4\/5 in decreasing order.\nAnswer: 2, 4\/5, a, 0, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7203 in -4\/3, 3, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3018974 - -11098974. Suppose -c = 2*o + 2*o. What is o rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(110)*2 - sqrt(110))*5)\/sqrt(10) - (sqrt(396)\/(sqrt(24)\/sqrt(2)))\/sqrt(3)) + -2)**2.\nAnswer: -16*sqrt(11) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.33 - 0.3. Let r = f + 1.37. Let a = r + -1. What is the second smallest value in 1\/2, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2\/4 + 4867*m\/2 + 29211\/4.\nAnswer: -(m - 9737)*(m + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, l: 10, g: 2, e: 1, x: 2, f: 2}. Give prob of sequence gl.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of 0*g**7 + 1\/3*g**4 + 1\/28*g**8 + 0*g**5 - 2*g + 0 + 0*g**3 + 0*g**6 + 0*g**2. Find the third derivative of d(a) wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + 1131.\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**24\/q))\/(q*q**23))\/(q*q**(-10))**(-19\/5) assuming q is positive.\nAnswer: q**(-401\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 6*b + 1. Let z(q) = -236*q - 136. Let i be z(-10). Suppose -38*c = 362 - i. What is the remainder when c is divided by j(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*m**2 - m**2 + 7*m**2 + m**2.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3*w + 118 = -4*r, -640 = -5*w - 5*r. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 > 636847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(162)*2 + sqrt(8)\/sqrt(4)*6.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 15) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.30399 in 0.5, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 8, t: 5}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -11. 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: What is 130051910 to the power of 1\/3, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 384.476 to zero dps.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 206*q - 83*q - 72*q - 1020 + 3060 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/48619831 or 0?\nAnswer: -6\/48619831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1330 - 1678 = -8*z. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - 12*63\/81.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -4*j. Let w(t) = -t + 5. Does 2 divide w(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.062 - 0.998. Let o = f - -0.06. Suppose -3*n = 3*g - 21, 2*g - 4*n + 9*n - 23 = 0. Put o, 2, g in descending order.\nAnswer: g, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 263 divide 1188234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum 105.601 and 0.142511553.\nAnswer: 105.743511553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(7)*2*4 + -1 - (4 + 2 + sqrt(175) + 2).\nAnswer: -53*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 97172257 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 267 - 267 + 383*a**4 + (a - a - 5*a)*(4*a**3 - a**3 - a**3) - 2*a**4 + a**4 + 0*a**4 + (-a**4 - a**3 + a**3)*(2 - 1 - 3).\nAnswer: 374*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 72992 is divided by 36476.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -997 - -1719. Let r = y - 718. Sort 2\/15, r, -1, 6.\nAnswer: -1, 2\/15, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30\/13 + 107\/52. Let t = 12.667 + -2.667. Let z = -0.03 - 0.27. What is the closest to -1 in f, t, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -y**5 - 838*y**4 + 315*y**2 + 22621*y + 27 wrt y.\nAnswer: -20*y**3 - 10056*y**2 + 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*(sqrt(320) + -2) - sqrt(320)) + 0 - (3 + 4*sqrt(320) + -5)) + -1.\nAnswer: -72*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3746909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3943 + 57345. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - k = 5*p - 1, 0 = 2*p + 5*k - 5. Solve 0 = 3*h - p*h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93 = -u + 3404*t - 3402*t, 2*u + 10*t + 302 = -142 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/4 + 28*b**2 + 837*b + 2916.\nAnswer: (b + 4)*(b + 54)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 3:15 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -0.1  (b) 2\/3  (c) 0.3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2135, -2132, -2129, -2126, -2123?\nAnswer: -2120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 24 = 42. Let r be (55 - (4 + o))*-7. What is r rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2673223495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 109 + -158. Let k = -40 - p. What is the derivative of 20*v + k - 9*v - 19*v - 24*v wrt v?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*t - 0*t - 72. Suppose -3*j + 2*q + 60 + 3 = 0, -5*q - 84 = -4*j. What is the remainder when j is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 - 17*u + 33. Let b be q(14). Is (-3)\/(((-27)\/(-118))\/b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1987259*w**2 + 14361881.\nAnswer: -3974518*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 536160 by 16755.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 + 7*t**2 + 3*t - 2. Let o be z(4). Suppose -4*p = -o - 86. Let f = 71 + -58. What is the remainder when p is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - sqrt(77)\/(-1*sqrt(11)) - (sqrt(63) + 1))**2.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 48*t**2 - 574*t + 1785. What is d(11)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/7))**(-19) assuming u is positive.\nAnswer: u**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 2720 divide 3441036640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (8 + -4 + -6 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-366)\/61*22\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95786 is divided by 47739?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-20 - 16) + 15 - 19.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -28282.7 - -28270.5709. Let n = y - -12.24. Let w = 0.105 - n. What is w rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 97612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 211.5 - 104. Let o = u - 107. Suppose 0 = v + v. Which is the third smallest value?  (a) o  (b) 4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11998189 is divided by 272?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (10540\/(-68))\/((-176)\/(-32) + -8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65 divided by 199867.\nAnswer: -65\/199867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 77495871*x**2 + 37035*x - 189.\nAnswer: 154991742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**2 + u**2 - 3*u**3 + (-3 + 3 - u)*(0 - u**2 + 0) - 2*u**3 + u**3 + 3*u**3 - u**3 + 0*u**3 + 4*u**3)*(-5*u + u - 3*u).\nAnswer: -21*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8570 - -8662. Which is smaller: b or 95?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 1325*a + 182846. Determine w(-138).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + -2 + (0 - -3). Let b be (p - 1)*(-3)\/(-9). Suppose 3*j - f = -21, 4 = 3*j + 5*f + 7. Put j, b, 2, -3 in decreasing order.\nAnswer: 2, b, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5835017km to nanometers.\nAnswer: 583501700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from fyyvd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -6*o - 79. What is t(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7923*k**2 + 5*k - 5*k - 101873*k**2.\nAnswer: -109796*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-92)\/230*(-2 + 90\/(-48) + 7)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 836 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6.644 + 71.356. What is the closest to -0.4 in 4, -1\/7, c?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 308323, 616632, 924941?\n\"Answer: 308309*n + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*u - 29 = 61 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s\/s**(-37))*s*s*(s\/((((s**(2\/33)*s*s)\/s)\/s)\/s)*s*s)\/s)\/(s**(-2\/21))**(-46) assuming s is positive.\nAnswer: s**(-2806\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -4962*o**2 + 4958*o**2 - 224*o**3 - 2 + 2 + 929*o**3 in the form t*o**3 + w*o + z + y*o**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 + -18733267.2525\nAnswer: -18733267.0525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 3*f + 24, 18 = 3*l - f + 2*f. Suppose 0 = j + 3*d + 17, 3*d - 5 = l*j - 2*d. Let c = 4 + j. Sort 4, 2, c in decreasing order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2123265*j**4 - 1454209*j.\nAnswer: -25479180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a**4\/7 - 372*a**3\/7 + 3078*a**2\/7 + 84360*a\/7 + 262848\/7 = 0. Calculate a.\nAnswer: -8, -4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-75)\/(-2))\/(-75)*24.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*k - 4*t, 8*t + 12 = 3*k + 3*t. Suppose 7*h - 4 = -5*p + 4*h, 0 = 4*h + 8. Solve 2*z = k*c + 2 + p, -5*c = 2*z - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 22 = 2*t. Let u = 24 + t. What is the smallest common multiple of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25475 - -25475.3. Let w = 7 + -3. Let l be -3 + w - -1*13. What is the nearest to 1 in -4, l, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1 + -20 + (8 - -29080).\nAnswer: 41, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15140 + 16967. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49+0.66\nAnswer: 49.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*y + 45 = 32*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -1*-5*(5 + (-2*sqrt(1008) - sqrt(1008))**2).\nAnswer: 45385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2*t**3 + 2*t**2 + 2*t + 1. Let n be r(-1). Let b(y) be the second derivative of -2*y**3\/3 - y**2\/2 + 2*y. What is b(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of 3*s**5\/20 + s**4\/6 - 13*s**3\/6 - 7*s**2 - 22*s. Let o be z(-6). Let l = -360 - o. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2815157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -17*2233\nAnswer: -37961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, w: 12}. Give prob of picking 2 w.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**3 + 2*n**2 + 15*n - 2. Let z be i(-4). Let l = z + 148. Calculate the least common multiple of 18 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1199 and -2023?\nAnswer: 242.5577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/5, -5, 37, 5, -2, 2\/137?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 15) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 - 2*p**4 - 4 - 2*p**4 + 2*p**2 - 10 - 2*p**3 + 10 + (p**2 - p**2 - 5*p**3)*(-88*p + 365*p + 179*p) to c*p**2 + u*p**4 + a*p + o*p**3 + q and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 24 = -4*w, -w + o - 3 = -0. Let z = w - -10. Solve -z*y - y = -16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1117.17 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*u + 28 = 41*u. Let y be 3 - u - 90\/(-40). What is the second smallest value in 0.3, y, -0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*x**5 - 4*x**5 + 3*x**5 + (-210*x**2 - 222*x**2 + 161*x**2)*(-3*x**3 + 5*x**3 - 3*x**3).\nAnswer: 265*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3717 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 241139?\nAnswer: 293, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -120  (b) 1  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6 - 30*c - 117\/2*c**2.\nAnswer: -3*(3*c + 2)*(13*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -85408 (base 11) to base 10.\nAnswer: -124275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 2*f. Suppose f = -5*d - 3*m + 7*m + 21, 0 = m - 1. Suppose 10*i - 150 = d*i. What is the highest common factor of i and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 39*d**2*y**2 - 5*d**2 + 692*y**2 wrt d?\nAnswer: 78*d*y**2 - 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 0)*(11*a - 17*a + a) - a + a + 4*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 374 = -546. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10d5063b - 0?\nAnswer: 10d5063b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-160)\/192*3\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 914546.7 millilitres to litres.\nAnswer: 914.5467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.108 - 0.292. Sort 0, x, 2\/3, 1\/5.\nAnswer: x, 0, 1\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -453.712 + 452. Let j = -1.99 - z. Round j to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5 + (0 - -1)*-2. Let c be a\/(-4) - 243\/(-36). Calculate the greatest common factor of c and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) 574  (c) -4  (d) -2  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 179*b - 165*b - 26180. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (24 - 29)) + -13 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(8\/80*6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -354*f + 212 = -2767 - 4455 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21 by -95506.\nAnswer: 21\/95506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 12:41 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(1*sqrt(204)*1 + sqrt(204)))\/(sqrt(132)\/(-2*sqrt(176))))**2.\nAnswer: 156672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -114 + 134. Let t = -7 + 16. Suppose -10*u + k = -t*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of k*o**2 - k*o + 3*k + 4552*o**2 - 118*o - 1 wrt o?\nAnswer: 2*k + 9104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5462.\nAnswer: 2, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(1377) - (-3 + -3 + sqrt(1377)) - -4*(sqrt(1377) - (3 + sqrt(1377))))*6)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c*c**(-1)*c*c)*c)**36\/((c**(-1\/4)*c)\/(c*c**(-3\/5)*c*c*c)) assuming c is positive.\nAnswer: c**(53\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 3.082.\nAnswer: 9.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, c: 2, i: 1, b: 2, l: 3, r: 2}. Give prob of picking 1 b and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7803 is divided by 456.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2461 by -61252.\nAnswer: 2461\/61252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - 4*b**2 - 3*b - 6. Suppose 0 = -9*m + 4*m + 25. Let h be j(m). Solve h*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -853, -970, -1087?\n\"Answer: -117*r - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1))**(-49))**19 assuming d is positive.\nAnswer: d**931","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 2028451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 5 + 9 = 0. Suppose 0 = -w*a - 0 + 8. Let z(u) = 3 + 4 - 8 + u**3 - a*u. Calculate z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28670\/24573 + -1\/16382. What is the nearest to -0.2 in -13, 4, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 2*i - 499, 3*y + y + i = 401. Calculate the remainder when y is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/12800 and 25\/224?\nAnswer: 89600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -123 + 131. Suppose -5*f = -4*f - 6. Calculate the least common multiple of f and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d\/(d**(3\/5)*d))))\/d)\/d*d**(-4\/3)*(d\/d**(1\/3))\/(d**(-2\/3)*d)*((d**(3\/5))**(1\/45))**(-30) assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 182 + -2?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 129190038 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z + 9. Let k be u(8). Let y be (2\/6)\/((-1)\/(-3)). Let w be y\/((-3)\/((-12)\/10)). Which is the second smallest value?  (a) -2  (b) w  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -d12c (base 14) to base 5\nAnswer: -2122113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -400 + 107 - 14*i + 3*i + 64 + 121 + 108.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 17*l + 11. Let p(n) = 11*n + 7. Let c(i) = i**2 + 11*i - 65. Let x be c(-15). Give x*v(j) + 8*p(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -300 = -4*s - 3*i, -150 = -0*s - 2*s - 3*i. Let y = -50 + s. Let q = 41 + y. Is 22 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*c = -2153 + 553. Let v = -73 - c. Solve 0 = 4*z - v*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -159 - -163. Suppose 5*k = -2*v - 14, -3*k - 21 = -5*v + 2*v. Which is the fourth smallest value?  (a) v  (b) -0.5  (c) t  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2775.43 and -366660.\nAnswer: -369435.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1776174 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 4*p - 1. Let u be d(-2). What are the prime factors of (-51)\/u - 2\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -185369.39.\nAnswer: -185369.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 1\/2  (c) -1  (d) 0.4  (e) -458\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1051 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j\/(j\/j**2))*j*(j**(7\/5)\/j)\/j assuming j is positive.\nAnswer: j**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*v + 4 = 30*v. Suppose f - 14 = 4*d, -27 + 1 = -v*f + d. What is the remainder when (-85)\/(-3) - 1\/3 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 91 = 82 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -2 - -5)\/(-1). Suppose 0 = z, 228 = -0*j + 3*j - 4*z. Does 13 divide (j\/10)\/((-1)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*z - 45*z + 2 - 31*z)*(-2 + 2*z + 2) as t*z + m + o*z**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.2504 + -1.3. Let k = 48.7504 - s. What is k rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 499, -1, -21, 1, -9, 4 in increasing order.\nAnswer: -21, -9, -3, -1, 1, 4, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from ioio.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7150396 and 10?\nAnswer: 35751980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59 = -4*y + 75. Let p(l) = -l**2 + 8*l + 2. What is p(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + v - 7, -11 = -4*l + v + 3. Let s(k) = -2*k**2 + 5*k - 3. What is s(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8668665 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/(-6))\/(3 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -100*j**2. Let z(q) = 3 + 44*q - 3 - 45*q. Calculate z(s(l)).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = -52*c + 84 + 166 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -2295*m**4\/4 - 2381*m**2 - 1575. What is the second derivative of b(s) wrt s?\nAnswer: -13770*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 274 = -296. Is 83 + w\/((-33)\/(-21)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8.043 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 3*p + 2, 1 = p - 2*i - 1. Do p and -35 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 5439*m + 27168. Give g(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 47146\/5 - 9430. Suppose 5*m = -2*u - 2*u - 10, 2*u + 5*m = -10. Let p = 0.1 + 0.1. What is the nearest to 0 in p, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37 (base 9) to base 12.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -303 * -11.075.\nAnswer: 3355.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3e0 (base 16) in base 14?\nAnswer: 50c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 - 45412*n + 27666888.\nAnswer: 4*(n - 10707)*(n - 646)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {b: 6, y: 4, z: 7}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.04 and 7.938.\nAnswer: 7.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the first derivative of 0*p**6 - 6\/7*p**7 + 49 + 0*p**5 - 88\/3*p**3 + 0*p**2 + 0*p + 3\/4*p**4. Find the third derivative of f(b) wrt b.\nAnswer: -720*b**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 255 and 3399.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of f**5\/130 + 5*f**4\/39 - f**3\/13 - 108*f**2\/13 - 16*f + 33. Factor c(o).\nAnswer: 2*(o - 3)*(o + 4)*(o + 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from {i: 1, a: 1, r: 1, c: 1, q: 2, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-54)\/18 + (11 - 1). Solve 2*z = -k + 7, -3*k = d + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 56, -10*s + 7*s - 34 = 4*h. Let 4\/3*x**4 - 76*x**h - 80\/3 - 236\/3*x - 68\/3*x**3 = 0. Calculate x.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of -x**4 - 4*x - 8. What is the first derivative of v(o) wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 16) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the third derivative of -k**5\/60 + k**4\/6 + 7*k**3\/6 - k**2 + 28*k. Let j = 2 - 0. Suppose j*y = 4*y - 10. Determine d(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 - 623*f**2 - 7851*f + 48207. Calculate n(-610).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -7  (b) 4  (c) 2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -2, 3, -12 in descending order.\nAnswer: 3, 2, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 594496 and 896?\nAnswer: 1188992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 5*v + 372 = 0, 0 = -2*j - 0*v + v + 180. Let w = 77 - j. Let b(k) = 4*k - 2. Let g(o) = -2*o + 1. What is w*g(s) - 6*b(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129 = 5*d + 5*v + 79, 5*v = 3*d + 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 0.1  (b) -1\/4  (c) 143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7936 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the first derivative of m**4\/4 - 2*m**3\/3 - 2*m**2 + m + 2338. Let p be (-2)\/9 - (-29)\/9. Determine z(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15*(-2)\/(-9)*596\/(-4470).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*v**5 - v**4 + 2*v + 7 wrt v?\nAnswer: 60*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4976\/9 - -552. Let o = i + 65\/63. Which is greater: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 0*d + 20. Let r = -17 + 45. Let x = r - 19. Calculate the least common multiple of x and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 141420.\nAnswer: 2, 3, 5, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 10, e: 3, p: 2, n: 1}. Give prob of sequence eep.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1748 + -4)\/(-24) + (-1)\/2*22 + 6.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2111917?\nAnswer: 2111917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*v + 5 + 50*v - 5.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101780*g - 101782*g - 578 + 174 - 247.\nAnswer: -2*g - 651","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 73 + 8 + -32 + 14 + 2\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 - 4*x**2 - 4*x**2)*((-2 + 3 + 1)*(-2 + x + 2) - 3 + 2*x + 3).\nAnswer: -32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - r + 8 + 22 = 0, 0 = -4*t + 5*r + 24. Suppose 0*k + 2*k = t. Determine x so that k*x**4 + 0*x**2 - 4*x**4 + x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2910*a = -3*t - 2912*a + 12, -8 = 2*t - 4*a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 264 and 4.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/564876 and 37\/1491.\nAnswer: 3954132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 PM and 6:46 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/10)\/(1\/25). Let s = 4 + o. Let d(i) = -i**3 - 7*i**2 - 8*i - 1. What is d(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -29*b**3 - b**2 - b. Let u be h(-1). Let i = u + -19. Solve 2*d = 0, -3*d = 2*o + 2*d + i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 957983*k**2 + 460*k - 1059137609 with respect to k.\nAnswer: 1915966*k + 460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2271 is divided by 6\/((-6213)\/893 + 13 + -5 + -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -20, -42, -60, -68, -60?\n\"Answer: b**3 - 4*b**2 - 17*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-491 + 254 - 398 - 220)*(n**4 - 2*n**4 + 2*n**4).\nAnswer: -855*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/25*(-1120)\/448.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, j: 2, z: 1}. Give prob of sequence zzxz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m. Suppose 0 = 186*u + 38 + 148. Let r(t) = -4*t + 3*t - 2 + 1 + 0. Let o(d) = -9*d - 4. Let s(l) = -o(l) + 3*r(l). Determine u*s(i) - 2*v(i).\nAnswer: -4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of u**9\/504 + 11*u**5\/60 + 8*u**2. What is the third derivative of q(l) wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40464218.\nAnswer: 2, 3079, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(833) + 3 - sqrt(833) - -3*(sqrt(833) + -1))**2 - (-1*(-5*(sqrt(833) + -1) + 3))**2.\nAnswer: -13376 + 728*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*y = -5779 - 3083 - 858 for y.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 16 = -2*t. Let x(l) = -l**3 + 6*l**2 + 7*l - 5. Let d be x(t). Let p = 10 - d. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8021 times 0.0034?\nAnswer: 27.2714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2522514 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4458271*a**3 + 4*a**2 + a + 8151 wrt a.\nAnswer: 26749626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -495 in 0.1, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2989205419 to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v**2 - 7*v - 11. Let w(h) = -h**2 + 3*h + 5. Let z(s) = 4*f(s) + 9*w(s). Give z(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8052808 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 5*k + n, -6*k + 3*k + 3 = 4*n. Solve 0 = k*w - 4*y + 3, -3*w - w - 9 = -y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 27, 39, 65, 111, 183, 287?\n\"Answer: m**3 + m**2 + 2*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33 + 52. Suppose -22 = -3*t - g, t + 2*g - c = 4*g. Suppose 3*j + 4*o = 29, 0 = -t*j + 4*j + 4*o + 27. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44\/(-495)*18*-22*(210\/(-24))\/(-7)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -376.4+164\nAnswer: -212.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {k: 8, t: 1, d: 6, g: 1, m: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 + 1. Let n = 3521 - 3521.1. Which is the third smallest value?  (a) n  (b) -0.4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u + 4. Let k be d(5). Let t(n) = -2*n - 3. Let c(o) = -o**2 + 9*o + 13. Let w(i) = k*t(i) + 2*c(i). Find the first derivative of w(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -5*c**3 - 7*c**2 + 267*c + 75. Determine k(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 k when three letters picked without replacement from {d: 3, t: 3, i: 3, k: 10}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 4*m. Let q be s(4). Let j(h) = h**3 - 5*h**2 - 9*h + 6. Let p be j(6). Let o be 9\/(-3)*16\/p. Solve 0 = -2*g - 2*g + x + q, g - o = 5*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 3*n - 18. Let z(r) = -4*r**2 + 3*r - 1. Let x(m) = 4*m**2 - 9*m + 3. Let p(u) = x(u) + 3*z(u). Calculate c(p(k)).\nAnswer: -24*k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 81440184*v**2 - 1084581383*v wrt v?\nAnswer: 162880368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 15 or 4617\/283?\nAnswer: 4617\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-44)\/(-10)*75\/6. Let g = 217\/4 - d. Which is the second biggest value?  (a) 5  (b) -6  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 AM and 6:59 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211971.2ug to tonnes.\nAnswer: 0.0000002119712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2\/3 + 8936*f\/3 + 9981512\/3.\nAnswer: 2*(f + 2234)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 588035 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 109333375 and 5750?\nAnswer: 2875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 5194*m - 670013. What is d(129)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from illiiiiiii. What is prob of sequence ii?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 18, y: 2}. What is prob of picking 2 w and 1 y?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 1770720 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 12498 = a, u - 3*a = -8*a + 12494. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10 - -3415?\nAnswer: 3425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*t + 203 = 9*t + v, 2*v + 87 - 93 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*y + y - 8. Let t be ((-130)\/39)\/(y\/(-1)). Factor 0 + t*l**2 - 2*l**3 - 4\/3*l.\nAnswer: -2*l*(l - 1)*(3*l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 455309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000057535971 rounded to six dps?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 15 = h - 2*f, -2*h - 5*f = 0. Put h, 3, -2 in descending order.\nAnswer: h, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 622287 to the power of 1\/2, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -0.1, 2\/7, 0.16 in decreasing order.\nAnswer: 1, 2\/7, 0.16, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (123 - 231 - 951*m + 108)*(m**2 + 2*m**2 - 4*m**2).\nAnswer: 951*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/28112 and -23\/12048?\nAnswer: 84336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(-3 + 14\/4). Let i = -1 - p. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t - t + t + 0. Let r(w) = -5*w. Let m(g) = 6*g. Suppose 5*l = -5 + 30, 2*l - 22 = -3*f. Let x(v) = f*m(v) + 5*r(v). Determine i(x(q)).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -1324?\nAnswer: -1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 27*z**2 + z. What is the units digit of r(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000188910914 rounded to 7 decimal places?\nAnswer: 0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -3. Suppose -i = -3 - w. Suppose 0*x + 3*x = -3*o + 132, 4*x = -o + 179. Calculate the remainder when x is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 1 = 2*g. Calculate the greatest common factor of 2 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/10 or 0.25?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 3 e when four letters picked without replacement from eeececeeecc.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/50568 and -23\/10644.\nAnswer: 44853816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 5*m = 15, -m - 15 = 4*m. Suppose g = -4*p + 2 + 34. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -2*g + 11, 5*h = -15*g + 19*g - 31 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1)*x**(5\/4)\/x*x)\/(x**(-2\/5)\/x**11) assuming x is positive.\nAnswer: x**(233\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 31 - 100260*s - 3*s**2 + 100260*s in the form w + h*s**2 + y*s and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, -3, 5\/4, 6, -0.11 in ascending order.\nAnswer: -3, -0.11, 3\/4, 5\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 305\/165 - 25\/15. Which is the closest to -0.06?  (a) -3  (b) y  (c) -0.4  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23671175?\nAnswer: 5, 11, 86077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4440 (base 10) to base 6.\nAnswer: 32320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 413892, 413889, 413886, 413883, 413880, 413877?\nAnswer: 413874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2842615?\nAnswer: 5, 568523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -839327 divided by 839327?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/13967 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -2\/27, -3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4457*d - 26957. Give r(6).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*r - 2435 - 4021 = 0. Let b = r - 265. Sort -0.2, b, -0.5, 0.3.\nAnswer: -0.5, -0.2, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 45721.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23449.99981584 + -23450. Round t to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 5  (b) -0.11  (c) 3  (d) -66821\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**2\/2 + 16518*c + 45474054 = 0. Calculate c.\nAnswer: -5506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -54 - -51. Let s be (-6)\/12*1*-26 + l. Suppose -4*b + 9 = -3*v - 2*b, v + s = 3*b. What is the second biggest value in -3\/5, v, 3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 2\/15  (b) 3  (c) -1.7  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*g + b - 11, 4*g + 5*b = -30. Let t = 0 - g. Suppose -t*d + 318924 = -66076. What is d rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1744, -1436, -940, -256, 616, 1676?\n\"Answer: 94*b**2 + 26*b - 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 - 4. Let q be (2\/(-2))\/(l\/(-4)). Solve 5 = 5*z, -4*z = -q*v - z + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1210201 (base 3) to base 13\nAnswer: 7a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*l**2 + 0*l**2 + l**2)*(-2*l + 5*l - 4*l + (l + 0*l - 2*l)*(-3 + 2 - 1)) + 33 - 33 + 9*l**3 to a*l**2 + k*l + w*l**3 + s and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3.625759+-28702\nAnswer: -28705.625759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/18 and -19\/51?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.11134 + 0.11134. Put u, 0.2, -731 in descending order.\nAnswer: 0.2, u, -731","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8875 - 8446. What is the least common multiple of y and 1404?\nAnswer: 15444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 904549 is divided by 187.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -25307 - -43771\/2. Which is smaller: x or -3422?\nAnswer: -3422","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of q**2\/2 + 2*q + 2. Suppose 3 = 3*v - 3. Let k be c(v). What is the nearest to -0.1 in 0.4, k, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59.2387 millilitres to litres.\nAnswer: 0.0592387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/5 - 157*b**2\/5 - 183*b - 1359\/5.\nAnswer: -(b + 3)**2*(b + 151)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -57729761*j**2 + 54413022 wrt j?\nAnswer: -115459522*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-12 - 18)*119\/(-34). Solve -q = -17*w - 3 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 3) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 216133 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -261, -1023, -2293, -4071, -6357, -9151?\nAnswer: -12453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 161\/(-23) - (30\/(-24) + -5). Put -0.3, 0.2, m, 4, 4099 in increasing order.\nAnswer: m, -0.3, 0.2, 4, 4099","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 1228 + 1110 = -5*p, -19 = -s + 4*p for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2061.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -28*u**2 + 85*u + 712. Let x be l(-9). Which is the nearest to 1\/2?  (a) x  (b) -5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-392)\/14 + 4)\/(-2) is divided by (7 + -2 + -1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/8 - 56*x + 197250.\nAnswer: -(x - 1052)*(x + 1500)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -2. Let l be 32\/20 - g\/(-5). Suppose n = 2*a + 13, 0*a = 4*n - 4*a - 32. Solve -l*q = q - n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 546 and 1547?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z\/(z**(2\/11)*z))\/z)\/z**14)\/(((z*z**0)\/z)\/((z*z\/(z*z**10*z))\/z)))**(14\/11) assuming z is positive.\nAnswer: z**(-4032\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**2. Let m(r) be the first derivative of 0*r - 11 - 1\/2*r**2. Determine m(z(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75 and 117?\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9065, 18130, 27209, 36308, 45433, 54590?\nAnswer: 63785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2, 0.2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = u + 6, -u - 4*c - 12 = -2*u. Let l be 3\/((-4)\/(-4 + u)). Suppose -3*z + 4*k = -4, -3*k = l*z + 1 + 2. Sort -3, -1, z in increasing order.\nAnswer: -3, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from tneee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001195153 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100000111111 + -10101101?\nAnswer: -100011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -30 + 24 + -9 + -18\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 PM and 12:13 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82 (base 11) to base 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6105 is divided by 47.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -313 or -321?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f - 10. Let o(x) = 41 + 54*x - 100*x + 51*x. Let r(w) = 9*h(w) + 2*o(w). Determine r(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 197, 409, 641, 899, 1189?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -7, 2, -3 in ascending order.\nAnswer: -7, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 434.199 or 0?\nAnswer: 434.199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 728 and 12546040.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59979, -479785, -1619245, -3838185, -7496431, -12953809, -20570145?\nAnswer: -30705265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*q - 1237249 = -1237473 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 1. Suppose 0 = 4*q - x*q - 6. Solve -3*b + 0 = -q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z + 4 - 4)*(279*z + 266*z - 136*z)*(1 + 0 + 1).\nAnswer: -818*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 1348 = -5*b - 4*d, 524 = 2*b - 3*d. Does 45 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-69 - -61) + 0 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m**3 + m**2 + 2*m + 3. What is b(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 3*h**2 - 79*h - 4. Let w(f) = 2*f**2 - 53*f - 3. Determine 5*d(a) - 7*w(a).\nAnswer: a**2 - 24*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + 3 - (-1 + 2). Suppose 0 = -7*l + v*l + 156. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 3*o = -27, 3*z - z - 5*o = -17. Let q = z + 6. Suppose 2*p - 48 + 0 = q. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 32\/18*252\/11928. Let i = m + -619\/22152. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -209635 - 122?\nAnswer: -209757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of -16 - (99080\/(-8) - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-706*1)\/(1*-79) + (1012 - 1020). Is 1 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -273 - -315. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - a**2 - a. Let l(t) = 5*t - 2 + 6*t**2 - 4*t**2 + 5*t**2 + 1 + 4*t**3. Let z be (4 + -1 - 4)\/(-1). Calculate z*l(g) + 5*q(g).\nAnswer: -g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 4*u + 22, 5*r + 0*u - 3*u - 42 = 0. Let j be r\/8 + (-15)\/4. Let w(g) = g**3 + 6*g**2 + 3*g - 2. What is w(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r. Let x(h) = 281*h. Determine c(x(t)).\nAnswer: 281*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -234387, -468839, -703293, -937749?\nAnswer: -1172207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 42 = 5*u, 5*x + 1 = 3*u + 3. What is the smallest common multiple of 4*1\/18 - 510\/(-135) and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -52, -116, -232, -418?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5\/4*n**2 - 95\/4*n + 0.\nAnswer: -5*n*(n + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/2300 and 121\/1081950?\nAnswer: 49769700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/(-5))\/(2\/(-282)*(-210)\/350). Solve -145*l + 12 = -k*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1468 (base 9) to base 4.\nAnswer: -101123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -568 + 1488. Suppose y = 4*k - 2*s, -3*k - 100 = -5*k - 2*s. Calculate the remainder when k is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10531?\nAnswer: 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, y: 1}. Give prob of picking 2 o.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a + 3*a + a)*(2*a + 3 - 3) + 0*a**2 - a**2 - a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 52443 (base 7) in base 5?\nAnswer: 403133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -716*z - 785*z + 18 + 1505*z in the form n + u*z and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 PM and 4:51 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from vzvzvzvvvz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -7*j - 16. Let c be (-3)\/15 + (-28)\/35. Let o = 1182 - 1176. Sort c, 0, j, o in decreasing order.\nAnswer: o, 0, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -444 + 548. Solve 12 = -r*g + 110*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6456443.4us in hours?\nAnswer: 0.0017934565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.1  (b) 1\/11  (c) -8588\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -6*(7\/3 - 2). Let v be (m\/6)\/((-3)\/(-9)). Let r(q) = 5*q + 1. Let g(c) = -c. Give v*r(h) - 3*g(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.08, 5, 4, 657, 1\/16?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 20  (c) 0.4  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -58 + 61. Suppose -2*h - 4 - 5 = 3*u, -m*u = -h + 18. Solve -h*k + 0*b + 6 = -2*b, -4*b + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 1 + -7 + (-3 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/11190600 and -1\/2238120.\nAnswer: 11190600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of x**6\/72 + x**5\/2 + 15*x**4\/2 + 18*x**3 - 3*x - 161. Let f(l) be the third derivative of a(l). Solve f(p) = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-d + 3 - 3)*(4 + 2 - 2)*(15 - 5 + 4) as n + g*d and give g.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 48 = 9*j. Find the common denominator of ((j\/5)\/(-2))\/(102\/(-765)) and -43\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or 7.97?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 36 + -173. Let t = 1319357 - 1319358. Which is the closest to -0.2?  (a) -0.2  (b) t  (c) 0  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -233*m**3 + 538*m - 538*m + (0 + m + 0)*(-m**2 + 5*m**2 - m**2).\nAnswer: -230*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of -53\/8*r**4 + 27*r**2 + 75\/2*r**3 + 1 - 9*r + 27\/80*r**5. Factor j(l).\nAnswer: 3*(l - 6)**2*(9*l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -502 + 5515\/11. Let d = 95\/204 - -19\/17. Find the common denominator of d and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -406\/2151 + -8\/239. Let o = 0.1 - 0.3. Which is the closest to p?  (a) -0.5  (b) 0.4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h + 1. Let n(d) = 4*d**2 - d - 3. Let l(j) = n(j) + 3*y(j). Let o(z) = -5*z**2 - 6*z. Suppose -3 = -3*i + 4*i. Determine i*o(v) - 4*l(v).\nAnswer: -v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-28)*-8*-21*2\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -50 (base 7) to base 16.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 29*-0.39\nAnswer: -11.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**2 - 60*h - 49533. What is b(139)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*w - 193004 + 192674 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1417*l**4 - 127 + 564*l**4 + 444*l**4 wrt l.\nAnswer: -1636*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 1199883\nAnswer: -599941.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 734 a factor of 646560386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 20 + (24 - (88 + -49)). Let r(a) = a**3 - 8*a**2 + 8. Let y(c) = c**3 - 9*c**2 + 8. Let u(l) = 4*r(l) - 3*y(l). Calculate u(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-nine sixths of a week?\nAnswer: 48720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 1 + 0 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.25 in 1\/4, -5\/22, 0.2, 0.4?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 79807349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 - (-10 - (0 - 11 - -9 - 76))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(3\/2)\/d)\/d)\/d**(-7))**(-1\/26) assuming d is positive.\nAnswer: d**(-15\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3747447*i**4 - 2*i**2 + 16708426*i wrt i.\nAnswer: 89938728*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1782 - 124743\/70. Let y be 2\/21*675\/(-180). Let g = y + q. Sort 0.1, -0.1, g.\nAnswer: g, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(252) + 0 + sqrt(252) + sqrt(252))**2 + 0 + (-4 + sqrt(252))**2 + ((4 + sqrt(7))*5 - sqrt(7)).\nAnswer: -44*sqrt(7) + 4824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, t: 4, s: 2}. Give prob of sequence ss.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -30 - -34. Suppose -5*o + 3*q + 102 = 0, w + 8 = -3*q. Calculate the highest common divisor of o and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 14 = 3*k. Let g be -6 + 2 + (6 - 6). Let y be g\/(-18) + 85\/(-180). Sort y, k, -1, 2 in ascending order.\nAnswer: k, -1, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3653309 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 2118*n = 2120*n + 4, -2*n = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*t + 74 = 66 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17009 and 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 948675263?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -2\/12911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bgigllbblggbgig. What is prob of sequence il?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -70317 and -9.4.\nAnswer: 660979.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k. Let v be (-2)\/(-10) - 24\/20. Let g(w) = w - 6. Let x(j) = 1. Let c(q) = v*g(q) - 6*x(q). Give c(s(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -130*z**2 - 89*z + 851029.\nAnswer: -260*z - 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 9*a**2 + 6*a + 6. Let n be k(-8). Let x = -11 + n. Calculate the lowest common multiple of 2 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n - 5. Let x(d) = d**3 + 13*d**2 - 2*d - 17. Let h be x(-13). Let b be m(h). Let p = 963 - 957. Solve -p*u = -b*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -8 + (6 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 10781*l + 689947. What is v(-64)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 3*o - 1404 = 0. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, 89, -7 in increasing order.\nAnswer: -7, -4, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-4)*((t*t**(3\/4)*t)\/t)\/t*(t\/(t*t**(2\/13)*t))\/(t**(-4)\/t))**(1\/14) assuming t is positive.\nAnswer: t**(31\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 673, 701, 729, 757, 785, 813?\n\"Answer: 28*y + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 j when four letters picked without replacement from pdppppdjpjpdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 - 16*d**2 - d + 17. Let n be y(16). Let x be n*-2 + (-308200046)\/(-23). Round x to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, d: 1, r: 1, i: 1}. Give prob of sequence ir.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40674 - 37692 = 2*w + 140*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 + 2)\/(-6 - (-354)\/60). Let d = -112 + 172. Calculate the highest common factor of d and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 7*i + 195 = 135, -3*i = -3*h - 30 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + -19. Let t = -98 + 144. Let w = b + t. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00040059419 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 57\/5 of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -123 - 117 + 51*m**2 + 240.\nAnswer: 51*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2395, 10476, 23945, 42802, 67047, 96680?\nAnswer: 131701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-2)*511\/(-219)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5373 to 3 decimal places.\nAnswer: 0.537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/6 - 22\/(-6). Suppose -2*i - 254 = -262. Solve 4*a + i = -q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 1 + 0)*(-1 + 1 + 2*x)*(3 - 3 + 2).\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t. Let c be g(-2). Suppose -3*p = -3*n + 384, 3*n - 271 = n - p. Calculate the remainder when n is divided by ((-34)\/8)\/(c\/32).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 4.3  (c) 3\/8  (d) -12  (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6 and -10295624.\nAnswer: 6177374.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4503092029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -24416 + 24415.9793. Which is smaller: l or 14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -708, -610, -294, 234, 968, 1902, 3030, 4346?\nAnswer: 5844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cjccjjjjjjjj. What is prob of picking 4 j?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 307 + -156. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 432 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -77 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 67504 and 1616?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -360 - -679. Is l 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 6:09 AM and 2:17 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 17\/((-459)\/(-6102)) + 5*-1. Solve 22*s = -h + 89 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from locllaohollycyllallc. What is prob of picking 2 y, 1 h, and 1 c?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 AM and 3:52 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 254, 846, 1780, 3056, 4674?\n\"Answer: 171*u**2 + 79*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.17 or -20?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*b**3*p**3 - 619*b**3*p*q + 92*b**3*q**2 + 359*b**2 + 2*b*p + 4*p**3*q**2 + 120*p**2*q**2 wrt b?\nAnswer: 24*p**3 - 3714*p*q + 552*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-138)\/(-1114074)*117)\/((2\/(-9))\/((-14)\/21))\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -643*m + 1603 + 2998 = -12117 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -8*k - 5. Let x(r) = -r + 2. Determine -w(f) + 5*x(f).\nAnswer: 3*f + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 1917*w + 1013. Let l(z) = -24*z - 1. Let b(n) = k(n) + 4*l(n). What is the derivative of b(t) wrt t?\nAnswer: 1821","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, -0.1, 11, -1\/4, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*h**5 + 21759677*h**4 - 2*h**2 - 211293*h - 25.\nAnswer: -240*h**2 + 522232248*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 52023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4211 - 46*f**2 + 4211)*(41*f**2 - 83*f**2 + 42*f**2 - 147*f**3).\nAnswer: 6762*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b. Suppose -4*x - 8 = 4, 4*t - 5*x = 19. Let m be (-2 + t)*25\/(-5). Let w(y) = -m*y + 8*y - 3*y - 3*y**2. Determine r(w(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*o**3*v - 21*o**3 - 13*o**2*v**2 + 3*o*v**2 wrt v.\nAnswer: 2*o**3 - 26*o**2*v + 6*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1579.081322629 and 1.\nAnswer: -1578.081322629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.68 - -0.68. Let x(k) = -k**2 - 13*k - 12. Let h be x(-11). Let v = h + -7. Which is the nearest to 1\/2?  (a) -4  (b) t  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 348 - 406 - (-20 - -4 - 6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f + 3*f - 6*f)*(2*f + 2*f + 2*f) + 0*f**2 - 3*f**2 + 0*f**2.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 2*w + 52, 2*k + 3*w = -k + 57. Suppose -2*q + k = 1. Calculate the remainder when 26 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 17248\nAnswer: 1\/2464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(152))\/sqrt(8))**2*-5.\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9.3 - 11.3. Let g be 4 + (3 - 4)*4. Suppose 5 = -n - 3*m, g*m + 3*m = 2*n - 8. Which is smaller: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 9066*x + 12 = -9079*x, -5*f = -2*x - 39 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-11)\/(99\/(-72))*(-9)\/2016*-8. Factor -w*x**2 - 32\/7*x - 128\/7.\nAnswer: -2*(x + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, i: 2, k: 1, v: 1}. What is prob of sequence sv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 69 + -42. Let g = -19.3 + p. Round g to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, y: 6, g: 8, e: 1, u: 2, v: 1}. Give prob of sequence aey.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2 + 4*z - 4. Let c(u) = 3*u - 1 + 2*u - 4*u. Let a(w) = -4*c(w) + t(w). Let q(o) be the third derivative of o**4\/24 + 4*o**2. Give a(q(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 422518\/79 in -0.2, -5, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 285.99 - 286. What is the nearest to -0.21 in r, -5, 1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.052 times -65\nAnswer: 3.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9179972 or -9179973?\nAnswer: -9179973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 1550?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ajmjmmamalalala. Give prob of picking 3 m.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 1 + 6 - 9*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -11*n - 107. Let v be y(-33). Let c = 314 - v. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the second derivative of l**7\/210 - l**6\/5 + 5*l**3\/6 + l**2\/2 - 68*l. Let g(s) be the second derivative of z(s). Solve g(r) = 0 for r.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -8*x - 10. Suppose -3*t + t - 10 = 0. What is the units digit of m(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (3 + -5) - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -11001100011101001 (base 2) to base 11\nAnswer: -71715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 24*a**4 + 3*a**3 - 33*a**2 - 21*a. Let j(p) = -6*p**4 - p**3 + 8*p**2 + 5*p. Let i(l) = 9*j(l) + 2*t(l). Find v such that i(v) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -131042 (base 5) to base 8\nAnswer: -12033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2661640101626 + -22.\nAnswer: -2661640101648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - b = 21, 3*y - b + 29436 - 29454 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1296)\/342)\/(-12))\/((128\/(-48))\/((-4)\/6))?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*w**3 - 11*w**3 - 11*w**3)*(-2*w**2 + 0*w**2 + 0*w**2) + 2*w**5 - w**3 + w**3 + 2*w**5 + 0*w**5 + 0*w**5.\nAnswer: 38*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6456781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2 + p. Let y be q(-2). Let c be (-4)\/(-1) + -2 + 0. Suppose c*x - 15 = -z, -y*x = 3*z - 1 - 24. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:37 AM and 1:20 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59416 is divided by 14827?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*x + 2*q - 1 = 132*x, -5*x - 37 = -4*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 3*f - 25, 0 = 2*l - 3*f - 65 + 9. Let s = 43 - l. Calculate the remainder when 9 + 5 + (6 - -27) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 91 - 6*y + 67 + 32 - 13 as d*y + j and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.39 and 0.3.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -4  (b) 0.04  (c) 0  (d) -25.31  (e) -0.0393\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2407 is divided by 767.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*q**2 + 64*q**2 - 24*q**2 - 3*q + 13*q**2 + 121*q**2.\nAnswer: 229*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + (sqrt(66)\/sqrt(2))\/sqrt(3) + sqrt(11) + sqrt(11) + (4 + sqrt(22)\/sqrt(2))**2.\nAnswer: 27 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1 + -3 + 5*sqrt(27) + -5 + -3*sqrt(192)))**2.\nAnswer: 1134*sqrt(3) + 2628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12, -57, -132, -237?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j + j + 3*j - j - 4*j + j + (4 + 2 - 3)*(2*j - 7*j + 7*j) + (3*j + 3*j - 5*j)*(4 - 1 + 1) to h + n*j and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 + (3 - (-6 + -2)). Solve 2*y - 1 - i = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11000100 (base 2) in base 14?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of 0*d + 0 - 7\/600*d**6 - 1\/6*d**4 - 3\/50*d**5 - 4\/15*d**3 - 2*d**2 - 1\/1050*d**7. Factor t(l).\nAnswer: -(l + 1)*(l + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 142 + -27. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -48*v + 202. Determine q(-7).\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -5 and -1008\/169 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -3*m + 1\/6*m**3 + 0 - 9\/2*m**2. Let p be t(9). Solve 4*x - 3*x + 3 = p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18628*p**3 - 1204*p**2 - p - 2.\nAnswer: -111768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 AM and 2:31 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g - 100. Let o(d) = -283*d**2 + 561*d**2 - 276*d**2. Determine w(o(k)).\nAnswer: -2*k**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 2*t**3 - 76*t**2 - 2*t + 76 = 0?\nAnswer: -1, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-46)\/69*(-18)\/(-16)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 1:27 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 96 and -0.185?\nAnswer: -17.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*x + x**2 + 4*x)*(116 + 8 - 16) as g*x + u + a*x**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 33975, 33977, 33979, 33981, 33983, 33985?\n\"Answer: 2*p + 33973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 121*a**2. Let r(v) = 71*v + 69*v - 138*v. What is r(c(n))?\nAnswer: 242*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from mqmmmqmm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14410782*u*w**6 - 12054*u*w**2 + 336*u*w wrt w?\nAnswer: 1729293840*u*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -49889, -99777, -149665, -199553, -249441?\n\"Answer: -49888*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of k**8\/56 - k**5\/10 + 4*k**2 + 3. Let s(g) be the second derivative of l(g). Find the third derivative of s(r) wrt r.\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -2*d - 26. Let c be s(-14). Suppose 3*y + 3 = 3*t, 0 = 3*t - c*y - 3 - 3. What is the highest common factor of 44 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*o**3 - 1 - 8*o**3 - 4*o + 5*o to p + w*o + h*o**2 + z*o**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -256774 (base 10) to base 2\nAnswer: -111110101100000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 28816759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*s = 2*a + 226, -319*s + 155*s + 170*s - 5*a - 230 - 90 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21 + (-513)\/27)\/((-1)\/((-12)\/(-160))).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1955*b + 1954*b + 36 = -5*o, 44 = -b - 5*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 2714 divide 63766793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3840775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) + sqrt(1452)*-1 + sqrt(72)\/sqrt(6)*-4)\/(-5*((sqrt(150)*4 + sqrt(150))*5 - sqrt(150))).\nAnswer: 7*sqrt(2)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/2  (b) -55  (c) 2\/9  (d) 21  (e) -1\/4  (f) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3800, -3779, -3756, -3731?\n\"Answer: k**2 + 18*k - 3819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r + 46*r**4 + 2*r**2 - 1 + 47*r**3 + 34*r**3 + 17*r**4 - 80*r**3 in the form u*r**3 + o + a*r**4 + b*r**2 + v*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -15211, 1, 11920 in decreasing order.\nAnswer: 11920, 1, -15211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 9*s - 22. Let i be 8\/24 + 73\/(-3). Let u = 33 + i. List the prime factors of h(u).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 835 - 833. Let u(y) = 3*y**2 + 6*y. Let m be u(-4). Suppose -2*h = 5*a - 53, -2*a + 4*a = d*h + m. Solve -5*l + 2*x = -a - 18, 5*l - 17 = -4*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 788270123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of -x**7\/840 - x**6\/120 + x**5\/30 + x**4\/8 + 2*x**3\/3 - 2. Let q(j) be the third derivative of i(j). Give q(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**2\/b)**(-33)*(b**(-8)*b*b*b)\/((b**(4\/5)\/b)\/b)*b**(1\/3)\/b**(-2\/3)*b**3*b\/b**(1\/3) assuming b is positive.\nAnswer: b**(-482\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f**2\/13 - 10*f - 648\/13 = 0. Calculate f.\nAnswer: -4, 81\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 333000 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19512127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 10 - 6 - 35*y**2 - y + 21 to the form l*y + h*y**2 + x and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 + 7 - 9)*(2*c**2 - 3*c**2 + 2*c**2)*(3*c**2 + 3*c - 3*c).\nAnswer: 30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30798\/219008)\/(6\/(-16)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3684193 divided by -28?\nAnswer: 3684193\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of g**6\/10 - 57*g**5\/25 + 48*g**4\/5 - 12*g**3 + 620. Solve b(c) = 0 for c.\nAnswer: 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5639637454 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/(36\/95) - (-34)\/68 and 29\/7?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2497*a**3 + 2*a + 0*a - 2496*a**3 - 1 + 1 - 611*a**2.\nAnswer: a**3 - 611*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -p - 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*o - 12 + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(-1)*(-5 - (-14)\/3). Factor -5*z**2 + x*z**4 + 3*z**4 + z**5 + z**2.\nAnswer: z**2*(z - 1)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-13\/5)\/g)**45*(g**11)**16 assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -4189380 and -4189380 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the first derivative of 2*g**3\/3 + 3*g**2\/2 - 9*g + 29. Let m be u(2). Solve -2*p + p - m*r + 23 = 0, -4*p + 5*r - 8 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 0.0468465.\nAnswer: -0.187386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9517\/19 + -501. Let j = 142\/95 - o. Factor -6\/5*m**2 + 8\/5 + j*m.\nAnswer: -2*(m - 2)*(3*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/((i\/((i**0*i)\/i)*i*i)\/i)*i)**4*(i**(-2\/9)\/i)**(-43) assuming i is positive.\nAnswer: i**(473\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of -d**7\/210 + 47*d**6\/10 - 11*d**5\/20 + 7*d**4\/8 - 3700*d**2. What is the third derivative of h(q) wrt q?\nAnswer: -24*q + 3384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2184\/(-39494)*31*((-14)\/4)\/((-9)\/(-12))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -73639 divided by 211.\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -18549630300 rounded to the nearest 1000000?\nAnswer: -18550000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 1\/43  (c) -3\/5  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1*3 - (-5)\/(40\/124) and -97\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 303 = 5*k - 2*g, 0*g - 185 = -3*k + 2*g. What are the prime factors of k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345.5453ml in litres?\nAnswer: 0.3455453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of p**3\/3 + 23*p**2\/2 - 154*p + 205. Let w be r(7). Calculate the greatest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -143 - -142.9921. What is p rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/(-16))\/(1\/74). Suppose 2*y - 4*p = -y + 13, 2*y + 3*p - x = 0. Suppose y + 8 = v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2329917 is divided by 278?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3\/2 - 24*p**2 - 117*p\/2.\nAnswer: -3*p*(p + 3)*(p + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 743\/(-2229)*4\/3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*a - 32. Find the first derivative of -a*c + 6 - 2*c**4 + 16*c - 2 wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-46 + 167 + 143)*(f**2 + f - f) + (1 - f - 1)*(-2*f + 2*f - f).\nAnswer: 265*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 79863594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1161, 1167, 1177, 1191, 1209, 1231?\n\"Answer: 2*i**2 + 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/i**(-1\/2)))**(-7\/3)\/(i**(-2\/3))**26)\/(i*i\/(i**(-3)\/i)*i**(-4))**(2\/65) assuming i is positive.\nAnswer: i**(2397\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 + 3 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 1278225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -32 + 129. Let w = b + -96.99878. Round w to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c - c + 9*c)*((-4 + 6 - 1)*(2 - 1 + 1) + 1 + 3 - 6 - 1 - 3 + 5 - 5 + 2 - 5).\nAnswer: -35*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u. Let t(w) = -13*w - 10. Let k(y) = 4*m(y) + t(y). Suppose 0 = -3*l - 2*x, -4*l - 31*x - 23 = -36*x. What is k(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 154 and 1764884.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -955, -943, -931?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7, 3, 19, 41, 69?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4 + -3)\/(2 - (-20)\/(-8)). Let p be h - (-1 + 13380006\/(-6)). What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 30532458 or 30532460?\nAnswer: 30532460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-70)*17\/(102\/(-20)))\/(1756\/(-116774)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mvv when three letters picked without replacement from {m: 2, v: 3, f: 1, d: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -10401.\nAnswer: -5200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 11.63224km?\nAnswer: 1163224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*f + 35259 = -30*f. Calculate the remainder when f is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 3 + 2 - 25*n to m*n + a and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 5 - 8) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -16*p - 7. Solve 2*k + w = -10, p*k - 4*k - 5 = -5*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 3 + 13. Suppose n + 4*n = 4*s + d, -2*n - s = 4. Suppose -4*a + n = 4. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.12 - 2.12. What is the third biggest value in 8\/5, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.05?  (a) 4\/7  (b) 1\/3  (c) 1  (d) 0  (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -141232 - 3?\nAnswer: -141240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256*k - 272*k - 32 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25 - 887.\nAnswer: -912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 571 and -0.02.\nAnswer: 570.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 100*t**2 - 1854105*t - 14746455.\nAnswer: 5*(t - 18549)*(20*t + 159)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*r + 0*r**3 - 2 + 399650*r**2 - 5*r**3 - r**4 - 2*r - 399654*r**2 to the form y*r**2 + d*r**4 + t*r + j + n*r**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*d**5*f - 372912*d**5 + d - 185*f - 34 wrt d.\nAnswer: 40*d**3*f - 7458240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 17 - 23 = 0. Let q(t) = t**3 + 6*t**2 - 2*t - 8. Let w be q(-6). Suppose -d = w*v - 28, v - 3 = 1. Solve -b + d = -0*b + g*s, s = -5*b + 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 704 is divided by 143?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 3*w = 0. Suppose w = -z + 2*f - 5, -z - 2*f + 2 = 3. Let r be 1*z\/(9\/12). Which is the third smallest value?  (a) -2  (b) 1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -13, 1351, -10.8?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1520\/3 + 402*i - 104*i**2 + 2\/3*i**3.\nAnswer: 2*(i - 152)*(i - 5)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 218 is divided by 99?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 41 - -513321?\nAnswer: 513402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 9271 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, f: 2, z: 1, w: 2, o: 1, t: 2}. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 20, 0*a + a + 5*i = -25. Solve 2*f - 3*f + 2 = a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64930.09ml in litres?\nAnswer: 64.93009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -10*m + 5*m + 24894, 5*m - 5*b = 24870. Does 176 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -v - 18, -17*v = -7*o - 15*v + 151. Solve -5*u = -3*u + 10, -o = -w + 4*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l - 6. Let g be -11 + 1 + (-1)\/(-1). Let q be f(g). Suppose -112 = -5*p - y, 59 = 3*p - q*y - 19. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 7 = -3. What is the hundreds digit of 122 - m*(-12)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {y: 1, f: 1, b: 1, n: 1, v: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/(-2))\/((-1)\/(-7)). Suppose -23*q = -1827 + 56. What is the greatest common divisor of q and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -17*h**2 + 82*h**2 - 23*h**2 - 19*h**2 - 24*h**2 + 10 + 7*h. What is x(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -551731 (base 8) in base 9?\nAnswer: -312164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/(-2) - (-92 + 99). Is -5\/116 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 8:03 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11\/23 at most 2101220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 496534238 - 496534246.00000041. Let v = 8 + d. What is v rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -455040 + 13?\nAnswer: -455024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/847180 and 17\/85226308.\nAnswer: 426131540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -927*j + 6480. Determine n(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - (-50 + 19 + -24 + -11 + 17).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 + 3*d**2 + 12*d - 2. Calculate c(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rwee when four letters picked without replacement from mepeprfrmewp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g - g - 2*g. Suppose -2 = -b + 2. Let k(x) = 4 - b*x - 4. Calculate a(k(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(143)\/sqrt(11) - (-3 + sqrt(1573))**2) + 1.\nAnswer: -1581 + 67*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 12:15 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 50 = 4*h, -4*a + 47*h - 45*h = 60 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 123016 and 2.\nAnswer: 123016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*u - 268*u + 164*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5249 + 5251. Sort m, 3, 22, -7, -3 in decreasing order.\nAnswer: 22, 3, m, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 317323.\nAnswer: 317323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*p = -43*p + 4. Let g be (0 - -19) + 0 - p. Find the first derivative of -24*w**2 + 8 + g*w**2 + 13*w**2 wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 8, q: 2, s: 5, y: 2}. Give prob of picking 1 q and 1 s.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 + 27. Let m be 3\/6 - 142\/(-4). Let g be ((-2)\/m)\/((-2)\/(-8)). Which is smaller: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3089960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -123, 0.1, -3, -9, -4, 0.07 in ascending order.\nAnswer: -123, -9, -4, -3, 0.07, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 - 18 + 26)*(2*d + d + 2*d)*(0 - 6 - 4).\nAnswer: 500*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18?  (a) 0.3  (b) 1\/9  (c) 69  (d) 4  (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*h**3 + 47*h**3 - 35*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 6\/9 + 19 + 4218\/(-180) and -13\/1205.\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 2)\/(6\/33). Let h = 0 - c. Let w(f) = 3*f - 17. Let r(t) = 3*t - 17. Let y(k) = -3*r(k) + 4*w(k). Let u(g) = -g + 6. Determine h*u(q) + 4*y(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = -5*j + 5. Let d(u) = -u + 7 - 7 + 1. Let l(w) = -w**4 - 4*w + 5. Let p(v) = j*l(v) - 4*d(v). Differentiate p(n) with respect to n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2056*y - 1029*y = 46215 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 847116, 3388451, 7624010, 13553793, 21177800, 30496031, 41508486?\nAnswer: 54215165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -37923 or -37796?\nAnswer: -37796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1.8+-0.73\nAnswer: 1.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -7, -24, -53, -100, -171, -272, -409?\n\"Answer: -q**3 - 10*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 457116 and 4.\nAnswer: 457116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-193*z + 193*z + 249*z**2)*(2*z**2 - 5*z**2 + z**2) as a*z + d*z**2 + q*z**3 + x*z**4 + n and give x.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 929 + -927. Let d(c) be the first derivative of 0*c - 1\/15*c**3 + 0*c**o + 13. What is z in d(z) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qyac when four letters picked without replacement from cqfqfcacffcmcyfyf.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36187 is divided by 112.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 8*b. Let u be 1\/(b + -1 + 0). Let o(r) = -r**2. Let h be o(u). What is the closest to 1 in h, 1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -169*s + 161*s + 1512. What is the highest common divisor of 81 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1748\/11 + 159. Let q = 87\/253 + 293883\/1771. Let y = q + -166. Which is the second biggest value?  (a) l  (b) y  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v*v**(2\/17)*v*v*v\/v**(-5\/3)*v*(v*v**(-6))\/((v*(v**4\/v)\/v*v)\/v))\/((v\/v**(-5)*v)\/((v\/v**(-1\/2))\/v*v))**(-20\/3) assuming v is positive.\nAnswer: v**(1910\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.16, -7, 10344 in descending order.\nAnswer: 10344, -0.16, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 340.9 - 341. Suppose -4*q + 0 = -2*x - 6, 0 = 5*x + 4*q - 27. Which is the nearest to k?  (a) -0.2  (b) x  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -45735 - -0.5.\nAnswer: -45734.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 15\/169429 or 0?\nAnswer: 15\/169429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 115*l**2 + 43*l - 463. Is z(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -2, -1973, -30, -1\/4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -4, -0.4, 5\/4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1201 at least as big as -1204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/17363 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 63, 58, 51, 42, 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 192358743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/5, -21492, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 11*y + 4. Which is the nearest to 1\/4?  (a) 1  (b) y  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5577 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -228, 9, 1\/3, 1\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 3)*(-69*d - 1376 + 1376) + (5 - d - 5)*(-4 + 4 + 1).\nAnswer: -139*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 54773 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 + 2. Let u = 15 - r. Let c = 32 - u. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*a - 34*a = 0. Which is greater: -2\/1727 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*j - 2*f, 74*f = -j + 70*f + 7. Let a = 11 - 8. Calculate the remainder when j is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124404 is divided by 7774.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0046 + -0.3873. What is z rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1641910 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/(-18)*39\/143?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/4*136\/(-306)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/9, 1\/6, -7, 0, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1386 or 1249\/14?\nAnswer: -0.1386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 11:57 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uquu when four letters picked without replacement from {u: 7, q: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b (base 15) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2713.21 - 2698. Round c to 1 decimal place.\nAnswer: 15.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 3  (b) -3  (c) 1\/8  (d) -0.004  (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*m + 5*s + 99 = 9*m, -5*s = 237*m - 241*m + 78 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 + -7. Suppose 14 = -5*f + 124. Suppose 54 = 2*u + i, -u + f = -a*i + 2. Solve 2*z + u = -4*h, 5 = -5*h + 2*z - 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -267525 and -2068.4895?\nAnswer: 265456.5105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*o = -17*o + 685. Let q = -108 - o. What is the greatest common factor of 58 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315564063 rounded to the nearest 100000?\nAnswer: 315600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 6*t - 5. Let z be v(-5). Suppose 3*k + 176 - 986 = z. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 250 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-17)\/(85\/(-150)) - 3. Let n = o + 10. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 923793.2ml?\nAnswer: 923.7932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of 0*k**5 + 0*k**2 + 0*k**4 + 0 + 1\/42*k**7 + 0*k**6 - 1\/3*k**3 - 11*k. What is the second derivative of g(b) wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5828610.\nAnswer: 2, 3, 5, 37, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of f**3*v**2 - 27*f**3*v - 102*f**3 - 4*v**3 wrt v?\nAnswer: 2*f**3*v - 27*f**3 - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(468) - (sqrt(468) - (0 + sqrt(468))*4)) + -3 + 1 + sqrt(468) + -5)**2.\nAnswer: -420*sqrt(13) + 11744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*l**3 + 44*l - 44*l + (1 - 3 + 0)*(-5*l**3 + 3*l**3 + 4*l**3) - l**3 - 1 + 1 - 14*l**3 - 14*l**2 + 15*l**3 - 3 + 4.\nAnswer: -11*l**3 - 14*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**2*w*w)\/w)**(-38))**(-3\/4) assuming w is positive.\nAnswer: w**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 7 = -3*n, -49*n = -4*f - 44*n + 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -82*t**2 + 82*t**2 + 18*t**3.\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d - 2 + 53 = 0. Determine a, given that 0 - 8\/7*a + 8\/7*a**2 - 2\/7*a**d = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-168)\/(-32) - 6) + (-116123)\/(-4). Round n to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5\/9 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 206925398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 0*l + 2*l + 4 + (3 - 1 + 0)*(-4072209 + 1000*l + 4072209).\nAnswer: 2002*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-11) - 4155*(-66)\/1089. Factor -a*k + 147\/2*k**2 + 216.\nAnswer: 3*(7*k - 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-280)\/528*2 + (-4)\/(-3). Which is greater: -3\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 PM and 10:31 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12?  (a) -0.1  (b) -2\/5  (c) -5  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 802, 806, 812, 820?\n\"Answer: z**2 + z + 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000072606737 rounded to 7 decimal places?\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3913  (b) 4568  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*f - 38*f - 4500 = 54*f - 9*f for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 AM and 9:23 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 51*o + 359. What is the remainder when 231 is divided by f(-5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 233995 is divided by 692?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-400)\/25)\/(-16)*1\/2*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 + 2*v - 7. Let m be g(5). Suppose 4*b = -0*r - 5*r - 36, -5*r - 2*b = m. What is the lowest common multiple of 22 and r\/(-10) - (-540)\/25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine thirds of a day in minutes?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 2\/34921?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 - ((37 - 44) + -26).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2233533 divided by 744511.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (55\/33)\/((-18)\/(-27))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001111100 + 101100111010001101?\nAnswer: 101101000100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15561*l + 15569*l + 2 - 2.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 156118903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 22032468 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 - 11. What is the smallest common multiple of 10 and a(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 0.013, 5 in decreasing order.\nAnswer: 5, 2\/3, 0.013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/408 and -47\/37596078?\nAnswer: 150384312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4*g = -5*c - 84, -3*g + 84 = -c. Suppose q + g = 3*q. Let o(d) = -7*d - 5. Let w(y) = 20*y + 14. What is q*o(m) + 5*w(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 5*h**2 - 4*h. Calculate the lowest common multiple of r(2) and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 + 2*r + 3. Let g be a(-2). Suppose 4535 = g*i + 2*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.31, -0.2, -48?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -56, -53, -48, -41, -32, -21, -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 - 4*k - 15. What is b(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00025362627 rounded to seven dps?\nAnswer: 0.0002536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -10, 3, 4 in ascending order.\nAnswer: -10, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 AM and 7:21 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -1662 - 2082. Let i be 1311\/p - (-6)\/(-9). Let q = i - 14\/39. What is the smallest value in -0.4, 1\/2, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.15 + 1.15. Suppose 3*i = 2*q + 3, -3*q + 9 = -3*i - 5*q. What is the closest to 1 in g, i, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16164525 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 4*k = -18, 5*c - 11*k = -6*k + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 36*h + 38. List the prime factors of a(14).\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s + 160*s**2 + 177*s**2 + 159*s**2 - 502*s**2.\nAnswer: -6*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 622365353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 16 = 4*n, -n + 5*i - i - 4 = 0. Let f be 5 + (-3 - n) - 2. Solve a = -f*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 - y + 1. Let m(q) = 5*q**2 - 6*q - 26. Let f(v) = -m(v) - 6*n(v). Let p be f(-11). Differentiate -6 - 4*a**4 + 1 - p - 14*a**4 wrt a.\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -856332, -3425337, -7707018, -13701381, -21408432, -30828177, -41960622, -54805773?\nAnswer: -69363636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 3:21 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2716365 from -51.\nAnswer: 2716314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (3*-5*sqrt(343)*1)**2.\nAnswer: 77180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72725881 - 72721393 = 33*i for i.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-6) + (-4)\/12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*l + 47*l - 4*r = -77*l + 292, -3*l + r = 2*r - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 4*k + 2*k - 416946, -4*c - 5*k = -833856. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, 50, 112, 208, 344, 526, 760, 1052?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -107 - -102. Let g(f) = -21*f - 7. Let s(a) = 14*a + 5. Let i(z) = o*g(z) - 7*s(z). Let r(h) = -2*h**2 + h**2 - 2*h**2. Calculate i(r(q)).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of -r**7\/280 - r**6\/40 - r**5\/16 - r**4\/16 + 81*r**2 - 1. Factor j(u).\nAnswer: -3*u*(u + 1)**2*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -49\/6 - -15\/2. Let a = 0.07 - 0.04. What is the smallest value in h, a, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 7. Let j = 4 + -4.3. Let u = j + 0.5. Which is smaller: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - 4*k + 26244, 0 = 2*r - 2*k - k - 13117. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*r + 2 + 11*r**2 + 11*r**2 - 15*r**2)*(-3 - 2 + 7) to the form p*r + t + w*r**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 12 + 6. Suppose 5*h = -5 + 15, 0 = 5*c + m*h - 19. Let g(a) = 3*a + 4. Let u(f) = 2*f + 3. Determine c*g(k) - 4*u(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.26526 rounded to two decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3756438*c*h**2 - 131043*c - h + 11 wrt h.\nAnswer: 7512876*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.87495 meters in millimeters?\nAnswer: 17874.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -494798 - -812035. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 860622 divided by 651?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 6\/7  (b) 3  (c) -5  (d) 35  (e) 87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 - 6*i - 1. Let h be v(-7). Let x = -9 - h. Let b = 2 + x. Let u(a) = -a**2 + 1. Determine u(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(96) - (sqrt(96) - -1*sqrt(96)) - sqrt(96))*-5)\/(1*(sqrt(48) - sqrt(528)\/sqrt(11)*-3)))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16*33\/(-22)*(-32)\/(-24).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - -2. Let r(h) = 29*h + 33. Is r(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 4*q = 24 - 0, 26 = 3*l + 4*q. Suppose -l*k = 10 - 28. Let o(x) = x**2 - 8*x - 7. Let i be o(k). Solve -3*m = i*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*m - 261*m + 30*m + 77*m.\nAnswer: -134*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/3 + 27056*o + 3492073\/3.\nAnswer: -(o - 81211)*(o + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 39. Let d be a + -5*2\/(-5). What is the units digit of 1\/5 + (-595)\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**8\/t*t*t*t**9)\/(t**(-1\/3))**(-1\/3) assuming t is positive.\nAnswer: t**(170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5092078 to the nearest integer?\nAnswer: 2257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1005457.75 rounded to the nearest one thousand?\nAnswer: -1005000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do -117803 and -117159 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:53 PM and 7:35 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -705 = -t + 478. Let k = -827 + t. List the prime factors of k.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -19784, -39557, -59330, -79103?\n\"Answer: -19773*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4*sqrt(70)\/(sqrt(10)*-1)*6 + (4 + (2*sqrt(343))**2 - sqrt(343) - ((1 + sqrt(343))*5)**2)).\nAnswer: 666*sqrt(7) + 14448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 9*d = 160. Solve 5*g = d, -2*p + 4 = -7*p - 4*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8678000300 to the nearest 1000000.\nAnswer: 8678000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the third derivative of -c**5\/120 + c**4\/24 + 2*c**3\/3 + c**2. Let a(y) be the first derivative of o(y). What is a(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/4)\/(((-5)\/(5\/(-4)))\/(85\/(-170)))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f = 5*p - 30, 389*p - 384*p + 10 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*q = 15*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 2 - 8. Suppose 29 = h + 2*m - 4*m, -m = s. Suppose -x = -2*w + w - 5, w + h = 3*x. Is x less than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 66034546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 a factor of 72389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0 + 0 + 2*t**2 + 0 - 9*t wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 242 greater than or equal to 246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 5.47 times -1.6\nAnswer: -8.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 60891160 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 4, -16 = 2*t - 5*w. Let g(u) = u**2 - 3*u + 1. What is the least common multiple of t and g(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41\/2 - 19. Let v(u) be the third derivative of -u**4\/24 + 7*u**3\/6 + 3*u**2. Let l be v(4). Does k = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -4*q**2 - 13*q - 31. Calculate f(-5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + b - 132 = 3*m, 90 = 2*b - 3*m. Calculate the remainder when b is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29824 - 53824. What is q rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11243 - s**2 - 18488 + 2683.\nAnswer: -s**2 - 27048","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -326395097 divided by 7.\nAnswer: -46627871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*o - 735 - 379 = -130 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8691.58 rounded to the nearest one hundred?\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1*39\/390*-6*8\/72\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 7:29 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (15 - 12) + 7 + -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2503  (b) -2\/7  (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 + 8*m**2 - 11*m - 9. Let v be t(6). Is v greater than or equal to -23\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 620.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1623 - 1625. Let o(w) = -4*w**2 + 3*w + 1. Determine o(a).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 384 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - 1. Let f = s - -3.3. Which is the nearest to 2?  (a) 5  (b) 3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/6 and 163\/7392.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 877, 1753, 2629, 3505, 4381?\n\"Answer: 876*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -1899\/68947 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - 0) + 77\/(-44). Let v = -1463 + 1463.06. Let u = -2.94 - 0.06. Which is the second biggest value?  (a) v  (b) u  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 194 - 194. What is the fourth biggest value in 0.6, 3, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-13) - 16\/(-104). Solve m = -2*t - 0*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5622933 or 5622932?\nAnswer: 5622932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*g**3 + 3*g - 3*g.\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 443*h**3 - 2*h + 232 wrt h.\nAnswer: 2658*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 25223\/60 + -2079\/5. Find the common denominator of r and (-17)\/18 - 1\/(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = 8*l - 5*l - 24, -3346*i + 3*l = -3348*i + 42 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - -2. Suppose 72 = -i*x + 6*x. Let c = x - 143\/4. Put -0.5, -3\/7, c in decreasing order.\nAnswer: c, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -0.2  (c) 0.2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 5 = -u. Suppose 0 = 2*z + 3*z + u*v - 15, 11 = 4*z + 5*v. Suppose -15 = 3*x, -2*x - 10 = 6*r - 2*r. Solve -l - z = -r*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -a66?\nAnswer: -a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37526 - 37523. Let v be 4\/(((-6)\/(-1))\/1). Solve 0*z**4 + 0*z**2 + v*z**y - 1\/3*z + 0 - 1\/3*z**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6108987*o**2 + 8562*o - 3 = 0. Calculate o.\nAnswer: 1\/1427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -2*f**3 - 110*f**2 - 178*f - 304. Does 64 divide b(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -4*v - 3*r + 70, 5*r - 23 = -2*v. Let n = v - 10. Let g be 13\/12 - 3\/n. Which is the nearest to 0.1?  (a) -4  (b) g  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - b = -28, 2*r - b = -3*r + 22. Let m(a) = -a**2 + 6*a - 1. Let z be m(r). Let u = 6 - z. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164 = 85*p - 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/2*6 - 0. Sort y, 1, 2.\nAnswer: y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2513 + 5?\nAnswer: 2521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**5\/((f**(-5\/4)\/f)\/f))**(-14\/11) assuming f is positive.\nAnswer: f**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1 - -41)*(-20)\/(-30). Suppose 7*g = -0*g + c. Suppose -5*p + 4*y + 69 = 0, g*p - 80 = -y - 2*y. Calculate the remainder when p is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, 5, 685, -1\/11, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 AM and 5:28 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14359 - 7033 = 324*t - 5192 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 + 4*j. Let f(a) = 10*a. Let u(w) = 4*f(w) - 10*z(w). Let v(b) be the first derivative of -11*b**3\/3 + 22. What is v(u(d))?\nAnswer: -1100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y = -10*y - 54. Is y at most as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 25 = -5*p. Suppose -p*c + 29 = 6*z - 4*z, 4*c - 37 = 3*z. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 5 = 3*c, 4 = -4*v + 4*c - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 4*z - 22 = 0, -11 = 2*p - 43*z + 46*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9969 less than -115647078?\nAnswer: -115657047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 70 - 70. What is the third smallest value in 1, -1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 + (5 + 3 - (175 + -164)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 272.2 rounded to the nearest ten?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 182*j - 169*j. Suppose -117 = -2*i + m + 3, -3*m + 180 = 3*i. What is the greatest common divisor of j and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 29024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s + 2 + 3 - 18. Let r = -24502 + 24510. Let w be a(r). Solve 3*x + 2*l + 13 = l, 0 = -2*x - w*l - 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = 5*z + 12. Let t = z + 16. Suppose -24 = -t*k + 36. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of y**7\/315 - y**6\/180 - y**5\/90 + y**4\/36 - 8*y**2 + 24. Let r(p) be the second derivative of s(p). Factor r(g).\nAnswer: 2*g*(g - 1)**2*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/(-4))\/(252\/(-1904)). Let i(w) be the first derivative of -3\/2*w**2 - m*w**3 - 1 + 0*w. Find the second derivative of i(l) wrt l.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 111536 and 3040?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -153\/23 + -9\/92. Find the common denominator of 1\/(9\/348) + (-5)\/(-15) and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -182.24 + -48.06. Let a = -230 - x. What is the third smallest value in a, -4, 0, -0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17\/(-2499)*21)\/(((-72)\/98)\/4).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 284264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -22.778 to 0 decimal places.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4190 is divided by 462?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -251060040 divided by 27.\nAnswer: -9298520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 158224 and 780208.\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + 0. Let g be (20\/(-50))\/(z\/(-5)). What is the greatest common divisor of g and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -10 - (-1355 + 1316).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -0.5, -2\/3, -0.9, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - w - 1. Let f be k(0). Suppose 4*b = -5*i - b + 25, -5*i + b + 31 = 0. Let p be i + 1*4\/(-4). Put -3, p, f in descending order.\nAnswer: p, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -19 - (-9 - 9) - (-2)\/8. Which is the closest to 1\/4?  (a) h  (b) -5  (c) 1\/4  (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*x + 3*x**2 - 9864*x**6 + 1122*x**6 - 2*x - 2*x**2 - 3 + 1746*x**6 wrt x.\nAnswer: -839520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-84))\/((-4323)\/198 + 126\/6).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**2 + 6*h + 4. Let d be b(6). Let x be -2 + (-12)\/d + 5. Solve 0 = -i - 3*l + 12, -2*i + 0*l + 4*l - 16 = x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of n**5\/3 + 35*n**4\/24 - 5*n**3\/3 - 35*n**2\/12 + 10*n\/3 + 44. Suppose a(w) = 0. Calculate w.\nAnswer: -4, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11350\/12 + 2\/12. What is the greatest common divisor of 172 and x?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(30\/48) - -2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1535\/3 + (-8)\/12. Suppose z - 58 - d = 0. Suppose -7*j + 404 = -z. List the prime factors of j.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36 or 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of 137*o**5\/5 + 518*o - 362. What is the first derivative of w(s) wrt s?\nAnswer: 548*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(891) + (sqrt(891) - (sqrt(891) - 3*(sqrt(891) + (sqrt(891) - 1*sqrt(891))))))**2 - ((5*sqrt(176) + 1)*-2)**2.\nAnswer: -3353 - 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 0 = -2*i. Suppose -i*c + 2 + 0 = 0. Let f be c + -3 + 12 + 0. What is the greatest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j**3 - 25*j**2 + 17*j - 4. Suppose -5*f + 7 = -13. Suppose 3*p = 5*u - 83, 2*u - f*p = -15 + 37. What is the remainder when n(12) is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -5564*t - 1001507. Calculate o(-180).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + 17 + (-33 + 1 - -2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 2*i - 270, 0 = 5*o - 5*i + 50 - 380. Suppose 62*y + 14 = o*y. Let m(c) = -5*c - 2. Let l(z) = -z - 1. Calculate y*m(d) - 4*l(d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**2 + 41785*h - 4495160.\nAnswer: -5*(h - 8248)*(h - 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 + 2*l + 3. Let g be h(3). Let v be (6\/(-4))\/3 - 0. What is the nearest to -0.1 in 3, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -3\/8, -5\/6, 0.24, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (k - 5*k + 2*k)*(1 + 0 + 38) + (1 - 2 - 1)*(0*k + 4*k - 2*k) to j*k + u and give j.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -0*x. Differentiate -8 + 3 + 5*t**3 + x*t**3 wrt t.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 28, 35, 44, 55?\n\"Answer: s**2 + 4*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -10*5\/(-175)*14. Which is the closest to -0.7?  (a) 2  (b) 0.3  (c) z  (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d + 7. Let o be b(-6). Let v = o + 1. Suppose 2*k = -v*k + 20. Calculate the highest common factor of k and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -320 by -4.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of 1 + 35*y - 35*y - 3 + y**3. Let k(i) = -5*i**2. Give k(m(a)).\nAnswer: -45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -57737 (base 14) to base 11\nAnswer: -1358a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00216094 to 5 dps.\nAnswer: -0.00216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4070, 16333, 36762, 65351, 102094, 146985?\n\"Answer: -w**3 + 4089*w**2 + 3*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-53248)\/1536)\/(20\/75)\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence huhf when four letters picked without replacement from huufhulflfuuuluuul.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -4. Let k(a) = -234*a + 1 - 218*a - 227*a - 233*a + 889*a. What is k(i)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*2*(-4 + -6*(2*((2 + sqrt(108) + sqrt(108))**2 - sqrt(108)) + (sqrt(108) - ((sqrt(108) + -2)**2 + -4 - sqrt(108))))).\nAnswer: 5760*sqrt(3) + 36704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 5*f**3 + 30*f. Let x(z) = 2*z**3 + 15*z. What is 6*v(r) - 14*x(r)?\nAnswer: 2*r**3 - 30*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -56, -5, 0.2, 437.3, -13 in increasing order.\nAnswer: -56, -13, -5, 0.2, 5, 437.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 plus -601014?\nAnswer: -601014.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/(-1*12\/16). Is c greater than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(6\/5)*w)\/w*w**(-7))\/(w**(1\/2))**(-23))**(1\/20) assuming w is positive.\nAnswer: w**(67\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 v when three letters picked without replacement from {v: 2, l: 16}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*x + 0*x - 5*x + 3*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 2:48 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67015 is divided by 374?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 388 and 23795.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in sixty-five thirds of a decade?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 8*c**2. Let s(k) = -435 + 870 + 21*k - 435. Calculate s(y(q)).\nAnswer: 168*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 AM and 7:36 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*v - 2*p = 50*v - 11, -41 = -3*v - 2*p for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1846, 1961, 2118, 2287, 2438, 2541, 2566, 2483?\n\"Answer: -5*f**3 + 51*f**2 - 3*f + 1803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*t**4\/7 + 120826*t**3\/7 + 357449220*t**2 + 2724326022600*t + 3879943077906000.\nAnswer: 2*(t + 1823)*(t + 19530)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -449 by 3.\nAnswer: -449\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.045256 - 0.5.\nAnswer: -0.454744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23 - -53. Suppose -4*n = -n - h. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1342 + -1325. Calculate the lowest common multiple of p and 466.\nAnswer: 7922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**6*p\/(p*p**(-11\/4)*p)*p*p)\/(p*p**0\/p*p*p**11) assuming p is positive.\nAnswer: p**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, v: 5, g: 2, j: 2, w: 4}. Give prob of sequence agj.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 28 = -11 - 29. Suppose -3*m + 181 = -5*b, 3*b - 213 = -6*m + 3*m. Calculate the remainder when m is divided by w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 PM and 11:26 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -212 - -153. Let v = 64 + o. Which is the nearest to -1?  (a) -0.5  (b) v  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 + 10*f + 6. Suppose 0 = -0*b - 4*b + 40. Let z be u(b). Let z - 22 + 20*s**2 - 4*s**3 + 32 - 32*s = 0. Calculate s.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.539377 kilograms to grams.\nAnswer: 4539.377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 14) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2623\/(-86) - 319\/58?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - -151050455?\nAnswer: 151050450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g**5 + 229*g**3*s + 5*g - 111*s - 2 wrt g?\nAnswer: -40*g**3 + 1374*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-2) + 21248\/1328.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22629 and 2451.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 2:13 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -4*r + 6. Let j(h) = 2*h. What is j(n(a))?\nAnswer: -8*a + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -480 - -502. Is j bigger than 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of l**8\/56 + l**4\/4 + 2*l + 2. Let u(a) be the first derivative of s(a). What is the third derivative of u(w) wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 9  (b) -3\/8  (c) 1\/2  (d) 0.016  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/4 and 9\/222*(27\/2 + -2)?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/(z\/(z**(4\/7)\/z))*z*z*z)\/z*z)\/(((z\/z**20)\/z)\/z))\/(((z*z\/z**(1\/5))\/z*z)\/z)**32 assuming z is positive.\nAnswer: z**(-71\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of 175*l**2\/2 - 66*l - 266. What is the least common multiple of 12 and y(4)?\nAnswer: 3804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - y)*(2 + 2 - 3)*((2 + 0 - 1)*(-3 + 2 + 3) - 295 + 54 + 6).\nAnswer: 233*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -42  (b) -60  (c) 5  (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2605 at least 2606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 PM and 4:06 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 - 4*o**2 - 8*o - 1. What are the prime factors of f(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -2, -0.5, -278?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 8:53 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 2915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*j + 72 = -19*p + 14*j, 0 = -p + j - 4*j - 163 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110) + (sqrt(110) - (sqrt(110)*2 + sqrt(110))) + sqrt(110))*-1)\/sqrt(10)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 10*k**2 - k. Suppose -6*z = -4 + 10. Determine c(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 2*v + 1 = -7, -4*j + 19 = 5*v. Suppose -7*l = -j*l + 4*d - 12, 2*l = 2*d + 4. Solve 3*w - 3 = -3*z, l*z - 2 = w + 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 70 and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vksksmskvesm. What is prob of sequence kvs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -970 equal to -971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25380 and 95.\nAnswer: 482220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 17368972997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -73 + 133. Suppose 7*f - 3*f = o. Calculate the remainder when 55 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m - 10. Let g be (-3)\/9 - 112\/6. Let k be o(g). What is the third derivative of k*p**3 - 9*p**2 + 7*p**3 - 6*p**3 wrt p?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -489\/1366?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2*i = -2. Suppose 3*p = 15, -4*z - i*p + 50 = -9*z. Let s(d) = d**3 + 9*d**2 + 5*d + 6. What are the prime factors of s(z)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17882 is divided by 3112?\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-7) - 346\/14. What is the units digit of 10\/2*(-20)\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.7077 - 20.9?\nAnswer: 0.8077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3\/19)*i*i**24)\/(i**13\/i**(1\/22)))**15 assuming i is positive.\nAnswer: i**(74535\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 81 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14 and 16805495.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -357 + 246. Which is bigger: t or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3 + 721*w**2 - 2144*w - 7180.\nAnswer: -(w - 718)*(w - 5)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -774, -780, -800, -840, -906, -1004, -1140?\n\"Answer: -f**3 - f**2 + 4*f - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-16.1.\nAnswer: -32.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4.41346 + 1.6069. Round a to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.95 - -6.95. Which is smaller: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*q - 110 = 64*q. What is the least common multiple of q and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -29349 divided by 1?\nAnswer: -29349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m - 15. Let g be s(9). Let n(r) = -2*r**3 + r**2 - 3*r - 2. Let q be n(g). Let p be 3\/(-6) - q\/16. Solve 4*a + 24 = -5*j - 7, p*a + 6 = 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-56)\/140)\/((-4)\/5). Let t(d) be the first derivative of -2 - o*d**4 + 0*d**2 - 2*d + 0*d**3. What is the first derivative of t(p) wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 372\/(-279)*(((-15)\/(-20))\/(195\/25))\/5\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6194*n**4 - n**3 - 112446.\nAnswer: 24776*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/(-6))\/((-8)\/24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 898032610 rounded to the nearest 100000?\nAnswer: 898000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/748 and -59\/204.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18156 and 884.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + 6*(sqrt(147) + 0) + sqrt(147) + 4*sqrt(147) + -2)*-6*-1)**2.\nAnswer: -22176*sqrt(3) + 640908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2047, 4079, 6087, 8059, 9983, 11847, 13639?\n\"Answer: -2*y**3 + 2046*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 1)*(-752633*v**5 + 2*v**2 - v**2 + 752632*v**5 + 5391*v).\nAnswer: v**5 - v**2 - 5391*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 244*s - 10. Let v(h) = -12446*h + 508. Calculate 5*v(f) + 254*y(f).\nAnswer: -254*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -146 - -160. Calculate the highest common factor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1980 + -4?\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 21*m + 469 + 26*m**2 - 469 wrt m?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -219852*s - 10047. Let l(h) = 394*h + 18. Determine -3349*l(i) - 6*q(i).\nAnswer: -394*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 356*b**6 + 2*b**5 - 1109*b**3 + 38*b**2 + 1934.\nAnswer: 42720*b**3 + 120*b**2 - 6654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 9*o - 1480 = 0. What are the prime factors of o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 - 20*r**2 - r + 24. Let y be k(20). Let q be -3*(y + -3) + 7. Solve -q*n = -4*i, -i - 3 = 2*n - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-26)*x)\/x)\/((x\/x**22)\/x))**(-2\/125) assuming x is positive.\nAnswer: x**(8\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 288618\nAnswer: 1\/144309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence du when two letters picked without replacement from frdzrdzudfdnnd?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is d + -346?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.3, -2\/89, -0.07, 31?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/d**(-10)*d)\/((d**35\/d)\/d))\/(d**16*d*d\/d**(16\/9)) assuming d is positive.\nAnswer: d**(-326\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 12522*b + 125180. Calculate f(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5924987479 to the nearest integer?\nAnswer: 76974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -33275, -33286, -33297, -33308?\n\"Answer: -11*b - 33264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/6 - -1)*51*96. Let p = u + -1124. What is p rounded to the nearest 10?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1880496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-6) - (-87)\/(-9). Let h be (-22)\/(-6) + 6\/k. Suppose 4*c + 2*i - 21 = 3*c, -3*c + 54 = -h*i. Calculate the remainder when c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7828 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 158, 171, 198, 245, 318?\n\"Answer: g**3 + g**2 + 3*g + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 13*a**2 - a - 6. Let z be u(-13). Suppose 19*f - 20*f = -z. Suppose 0 = -f*d + d + 570. Calculate the remainder when d is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -13. Let t = d + 7.7. Which is the closest to 0.04?  (a) -0.1  (b) t  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/22 - 16\/(-88) - 77\/(3542\/(-138)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11788033 + 4?\nAnswer: 11788037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -6, -3*t = 2*i - 3*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-six fifths of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 2*n = 0, 2*u - 12*n = -13*n + 7. Determine a, given that -985 - 530*a**3 - 270*a**u + 1025 - 105*a**4 - 165*a**2 + 30*a = 0.\nAnswer: -4, -1, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 112 = -2*h - 109, -3*h = 4*u - 22 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 318626210 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3568063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13186 is divided by 247?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -2 + (5*sqrt(33)*2)\/((sqrt(77)*5)\/sqrt(7)))**2.\nAnswer: -20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 380*x**3 + 7*x**2 + 7*x - 8. Let o(u) = -189*u**3 - 3*u**2 - 3*u + 4. What is 3*i(k) + 7*o(k)?\nAnswer: -183*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -3  (c) -6\/73  (d) 1112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 12*b + 34. Let g(s) = -6*s - 16. Let j(y) = 6*c(y) + 13*g(y). Let k(r) = r - 1. What is j(v) - 4*k(v)?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 + 10\/4)*4. Suppose -4*x + 6 + s = 0. Let p be (7 + -5)*((-9)\/6)\/(-1). Solve p*w - 25 = -x*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (21*d**2 + 88*d - 88*d)*(-1 + 1 - d)*(18 + 29 - 25) as v*d**3 + t*d + c*d**2 + n and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4.22 + 4.92. Let f = 0.05 + -0.05. Which is the biggest value?  (a) f  (b) t  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 4*t - 3*o + 9, 4*o - 16 = 5*t. Suppose t = 5*v - 1478 + 1458. Solve -2*l + v = 0, 2*x - 7*x - 19 = 3*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + 122022?\nAnswer: 122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25108146 by -4184691.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 10 = 2*j, -4*j - 2*o = -47 + 27 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/3 of a hour in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 885 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h + 5. Let o be c(-5). Which is greater: -1\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*g**3*j**2 - 2539*g**3*j + 4*g**3 - g**2*j**2 - 62*g**2*j + 2654*j**2 wrt j?\nAnswer: -14*g**3 - 2*g**2 + 5308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*y**3 + y**2 - y**2)*(-11*y + 6*y + 21*y) to a*y**4 + f*y**3 + w + k*y + l*y**2 and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 203*n - 281*n**5 - 12*n**2 - 20*n**2 + 34*n**2 wrt n.\nAnswer: -5620*n**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 9*t - 11. What is the units digit of m(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/11, 4, -5, -3, -7641?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 91a (base 13) to base 14\nAnswer: 7c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -69747*h**3 - 716*h**2 - 42284684*h wrt h.\nAnswer: -418482*h - 1432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 181, 222, 295, 406, 561, 766, 1027, 1350?\nAnswer: 1741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 31\/22 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 41502203 - -4?\nAnswer: 41502211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*q + 108*q - 54*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -18*u + 102. Give d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14230, -28458, -42686, -56914?\nAnswer: -71142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*(-10)\/675)\/(-1*(-8)\/400)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.163891251 rounded to 5 decimal places?\nAnswer: -0.16389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -2*b**3\/5 + 105278316*b**2\/5 + 210556638*b\/5 + 21055664 = 0.\nAnswer: -1, 52639160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -7*n**3 - 6*n + 2. Let m(s) = 3 + 30*s + s**3 - 9*s**3 - 35*s. Let z(r) = -3*b(r) + 2*m(r). Find the second derivative of z(a) wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1849781 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - 0) + -1 + -49. Let c = i + 74. Which is bigger: 25 or c?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -5, 2, -0.2, 306, 42, 22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.0036 - 0.5036. Which is the second smallest value?  (a) x  (b) -0.23  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 444 and 87507627.\nAnswer: 350030508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8bbb + -129?\nAnswer: -9017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3349 + -27.089?\nAnswer: 3321.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**3 + 24*t**2 - 2*t + 7282. Let c be l(0). Do 7283 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42, 99, 146, 177, 186, 167, 114?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 479, 485, 481, 461, 419, 349?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 42 + -39 - (8 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v + 54. Suppose 4*x - 2*x = 0. What is the smallest common multiple of 10 and s(x)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1812  (b) -2.9  (c) 4\/3  (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3*8\/12)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -126*(85\/(-15) + 5). What is the highest common divisor of 42 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -46, -92, -128, -148, -146, -116, -52, 52?\n\"Answer: d**3 - d**2 - 50*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 57370099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f - 4. Let c be -4 - 0 - (1 + -1). Let b be k(c). Is -4 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/759 and -33\/460?\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 974643?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/7  (b) 552  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 1088\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/19135 and -121\/4450?\nAnswer: 191350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y - y - y)*(2 - 2 + 1)*(-1964*y**2 + 1256*y**2 + 1258*y**2) to d*y + g*y**2 + z + k*y**3 and give k.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*h = 97*h + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from ubbbuub?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2 + -5 - -2)*-10. Let a be l*1\/8*4. Suppose -3*f - 4*h = 3, -f - 4*f = -2*h - 21. Sort f, -3, a.\nAnswer: -3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (6\/9)\/((-10)\/(-195)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6048 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -0.04, 4097 in decreasing order.\nAnswer: 4097, 7, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 9 - 4 + 22 + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sssi when four letters picked without replacement from {i: 3, s: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -337, -3\/35, -2, 0.3 in ascending order.\nAnswer: -337, -2, -3\/35, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*c + 4*o - 25, 5*c + 48 = -5*o + 23 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of 7\/60*n**6 + 30*n**2 + 0 - 17\/6*n**4 + 19\/30*n**5 + 8\/3*n**3 + 0*n. Determine z, given that i(z) = 0.\nAnswer: -4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of -i**5\/16 - 17*i**4\/24 - 23*i**3\/8 - 9*i**2\/2 + 6*i + 2. Factor b(j).\nAnswer: -(j + 3)**2*(5*j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1100*w**2 + 560*w**2 - 1 - 9*w**2 - 86*w**2 to the form o*w**2 + g + k*w and give o.\nAnswer: 1565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 211 a factor of 3307636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/6942 and 107\/4888?\nAnswer: 1305096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84)*2*6 - -1*sqrt(84)*-1)\/(sqrt(48) - (sqrt(432) + sqrt(48))*5).\nAnswer: -11*sqrt(7)\/38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 134*r**2 - 113*r + 32. List the prime factors of s(7).\nAnswer: 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 33929175, 33929169, 33929163, 33929157, 33929151?\n\"Answer: -6*a + 33929181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -227, -267, -273, -233, -135, 33?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -a2b (base 15) to base 8\nAnswer: -4363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(-12 - 3 - 3)*(4*k + k**4 - 4*k) - 2*k**4 - 2*k**4 + 2*k**4.\nAnswer: 34*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, 8, 34, 70, 116, 172?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 645, 670, 695?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ebeeeeeccpeccpcje. What is prob of sequence bep?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 14668 = -3*f, -4*f = b - 2172 - 5172. Calculate the least common multiple of b and 8.\nAnswer: 7328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -222 and 0.475?\nAnswer: -105.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.9 * 1.21\nAnswer: 1.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 141.000057 - 141. Round h to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(108) - sqrt(3) - (sqrt(84)\/sqrt(7))\/sqrt(4).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 3*n - 35. Calculate b(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7339\/29 - -253. Let o = 0.016 - -9.984. Let w = o - 10. Is w equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/2 and -47\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 5*y - 26 = -2*k, 0 = -4*k - 3*y + 20. Solve a - 6*z + 5 = -k*z, 0 = 4*a - 3*z + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -494, -500, -506?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -2, 5\/2, 16\/133?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*2*sqrt(70))\/(sqrt(10) + sqrt(40)\/sqrt(100) - sqrt(10)).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-200)\/(-4))\/(-5)*51\/85\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6*1\/2 - 95\/(-19). Solve f*t - 15 - 1 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 27\/5 of a micrometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1\/2115 + -213647\/67680. What is the common denominator of -61\/54 and m?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -403656, -403669, -403682, -403695?\nAnswer: -403708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 5*n**2 + 2. Calculate the remainder when 5 is divided by o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 divided by -76?\nAnswer: -37\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + n = -7171, -2*m = 4*n - 0*n - 14342. Let d = -100473\/14 + m. What is the common denominator of d and 107\/(-64) + (0 - -1)?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*x + 27*x - 162. Suppose 2*n = -2*q + x + 13, 4*q = 2*n + 8. Solve -3*c + n*c - 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 135885 and 135?\nAnswer: 1222965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8849068652 - 8849068808.00000497. Let v = o - -156. What is v rounded to seven dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + 6*v - 6. Let t be l(1). Let z = 3.91 - 4.91. Which is the closest to -2\/7?  (a) z  (b) t  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 54228600.\nAnswer: 2, 3, 5, 47, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14943 and 35343?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - 4*b**2 - 4*b. Suppose n - 25 = -0*n. Let l be 135\/n + (-4)\/10. What is the units digit of o(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1798 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*q + 4*q + q - 4*m, -8*q = -11*q - 3*m + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -17*q**2 + 2*q + 12. Let t(f) = 4*f + 3*f - 2 - 4*f - 3*f**2 - 4*f + 2*f**2. Let s(o) = m(o) + 2*t(o). Let k(g) = 2*g. Calculate k(s(p)).\nAnswer: -38*p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -669 - -702. Calculate the greatest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 2 = g. Let y be (2 + -3)*-5 + -5. Solve y = -g*b + b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1113*h**2 + 487539 - 487539 to the form p*h + l + u*h**2 and give u.\nAnswer: 1113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 119*q**2 + 111*q**2 + 113*q**2 + 129*q**2 + 108*q**2 - 617*q**2.\nAnswer: -37*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1995\/25 - -3 - (-6)\/10. Let i = y + -75. Which is bigger: 9 or i?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 20 = -5*y, -2*y + 2*g + 2*g + 30 = 0. What is the closest to -1 in 1\/2, y, 3\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pyp when three letters picked without replacement from {p: 4, n: 2, y: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 979, 4, -1, 10, 3 in descending order.\nAnswer: 979, 10, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 j, and 2 q when four letters picked without replacement from {l: 1, b: 6, j: 1, q: 3, n: 1, w: 1}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence loid when four letters picked without replacement from dldinblnlbob.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 491*k = -492*k + 1, -23 = -d + 5*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1\/28 - -1\/4. Let m = 29 - 13. Let l be ((-2)\/m)\/(15\/20). What is the nearest to x in 4, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 2 + 6 = -4*u, -2*o + 5*u + 5 = 0. Let w be 4\/(-38) + 231\/209. Sort 2, w, o.\nAnswer: o, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25491913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1081 - 9725\/9. Factor 2\/9*x**2 - r*x - 2\/3.\nAnswer: 2*(x - 3)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -327*i - 19412 = 210*i - 29*i - 86*i for i.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 2*v - 8 = 0. Suppose r + v*l - 10 = -1, -l = 2*r - 46. Let p(t) = t**3 + 5*t**2 - t - 3. Let z be p(-5). Solve 7*a + r = z*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72761*m + 7446 = -72980*m for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 192 - -58. 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: Suppose 4*j**2 - 4219852*j - 29539160 = 0. Calculate j.\nAnswer: -7, 1054970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 156\/(-130)*12\/(-18).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 1535 divide 10662110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1160*h**4*r + 59*h**2*r**2 - 95*h*r**2 - 749*h - 3*r**2 wrt h.\nAnswer: 13920*h**2*r + 118*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 7*g**2 - 416*g + 3991. Calculate f(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 324 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7703835 centimeters in kilometers?\nAnswer: 0.000007703835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/3))**(-17)*(i*i*i\/(i\/i**(-1\/2))*i*i)\/i**(-4))\/(i**(1\/3)\/i*(i\/(i\/(i\/(i\/i**(1\/6)*i)))*i)\/i*i)**43 assuming i is positive.\nAnswer: i**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**2 - 3*o + 5. Suppose 2*k - 1 = 17. Suppose -9 = -2*y + k. Is f(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 2, -0.1, -0.5, -1\/6, -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8 + -11 + (0 - -3). Suppose i = -3*x - 2*x - 110. Let r = x - -30. Solve -2*v - 3*d - r = 2*v, -3*v - 5*d = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 0*d = -3*c - 12, -9 = -2*c - 3*d. Suppose 0 = -c*y - 3*y. Let t be 11\/22*(1 + -1) - y. Solve 0 = 2*u - 5*a + 33, t = 2*u - a + 10 + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express f**4 + 2*f**4 - f**4 + (19*f**3 - 73*f**3 + 11*f**3)*(-2 + 2 + f) - 4*f**4 - f**4 + 3*f**4 as x*f + r + h*f**2 + m*f**4 + z*f**3 and give m.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 + -10. Let a(p) = -9*p**2 + 6*p - 42. Let c(k) = -4*k**2 + 3*k - 21. Let x(s) = u*c(s) - 2*a(s). Let m be x(-9). Round m to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 take away 146288.190412?\nAnswer: -146287.190412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 4*j - 38, 6*w = 2*j + w - 28. Suppose 0 = -2*p + 2*k - 2, 5*k - 5 - j = 2*p. Solve -q + p - 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 333 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + 165?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c*c**(-6)*c)\/c**(-2\/3))\/(c*c\/(c**(-1\/3)\/c))**(-10\/7))**(-6\/7))**34 assuming c is positive.\nAnswer: c**(-2040\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -25*s - 29. Let o(a) = 4*a + 19. Let x(j) = 2*j - 1. Let q(h) = -o(h) - 4*x(h). Let d(t) = 4*f(t) - 7*q(t). Differentiate d(l) wrt l.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*n - 6 + 7 = 17*n. Which is the closest to -1?  (a) -5  (b) 2\/11  (c) n  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 0.1818?\nAnswer: 0.1818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 206, 2092, 5236, 9638, 15298, 22216, 30392?\n\"Answer: 629*u**2 - u - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11905800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6845 by 5.\nAnswer: -1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**2 + 6*d - 9. Determine q(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24 + 41. Let x(z) = 2*z**3 - 35*z**2 + 19*z - 28. Let q be x(k). Solve 9 = -q*g + 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -69682 + 69712. Factor -5\/2*s + d - 5\/2*s**2.\nAnswer: -5*(s - 3)*(s + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + r + r - 40, -2*r = -8. Let j = 12 + d. Solve -3*t + t = j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44755 - -10185. What is r rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64.3464937 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 47, 56, 63, 68, 71, 72?\n\"Answer: -l**2 + 12*l + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -79*g**2 - 87*g - 5. Let a(y) = -119*y**2 - 130*y - 8. Let d(l) = 5*a(l) - 8*q(l). Find the second derivative of d(p) wrt p.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (15\/(-10))\/3*-14 + 36940 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.05, -0.1, 0.19, -10\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(3\/4))**(-7\/4)\/(b\/((b**(-16)*b)\/b*b)*b**(-8)) assuming b is positive.\nAnswer: b**(-149\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5194420 divided by -20.\nAnswer: 259721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of 8*l**6\/15 + 8*l**3\/3 - 8*l. Find the second derivative of s(o) wrt o.\nAnswer: 192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 120263041 and 9609.\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 177*f**2 - 37 - 72*f**2 + 52 + 147*f**2 as q*f**2 + b + n*f and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**2. Suppose -l + 1 = -0*l. Let f(c) = c**2 - 20*c + 86. Let o be f(6). Let s(y) = -7*y**2. Calculate l*s(n) + o*t(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 6 - 18. Suppose -3*d - 1 = 2*y, -g*y + 2 = 2*d - 0. Let j(t) = -t**2 - t - 1. Let h(o) = 2*o**2 + 3*o + 5. Determine d*h(u) - 5*j(u).\nAnswer: 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 2\/15  (c) 2  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 53 + -33. Suppose 12 = 24*a - l*a. Solve -a*j = x + 13, -4*x - 32 = x + 4*j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 24  (b) -7  (c) 3\/2  (d) -215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 + 27. Let p = -19 + f. Let c = -5 - p. Put -5\/3, c, -3 in decreasing order.\nAnswer: c, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.18 - 0. Let k = w - -7.82. Let h = k + -3.8. Round h to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(56)\/sqrt(2) + (sqrt(448) - (-1 + sqrt(448)))**2 + sqrt(448).\nAnswer: -4 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of p**8\/168 + p**6\/8 - 7*p**4\/24 + 2*p**2 + 71*p. What is the second derivative of z(b) wrt b?\nAnswer: 40*b**3 + 90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 14124 - 14124 + 15*f. Let v(y) = 3*y**2. Determine r(v(p)).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 93*b**3*y**4 + 1714*b**3 + 12*b**2*y**4 wrt y.\nAnswer: 372*b**3*y**3 + 48*b**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 12*o + 58. Let r be x(-6). Let b be r\/4*12*36\/(-21). Let k = b - 38. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 3*g**2. Let f(o) be the second derivative of 0*o**3 + 0 - 9*o + 43\/12*o**4 + 0*o**2. Determine f(t(a)).\nAnswer: 387*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j + 4*j - 4*j)*(-3 - 1 + 0)*(6*j**2 + 6*j**2 - 6*j**2).\nAnswer: -48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-13830)\/(-18) + (-3)\/9. Suppose -208 = 4*u + v. What is the tens digit of ((-9)\/(-6))\/((-6)\/u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18529 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 + 8*d**2 + 22*d - 17. Let y = 82 - 72. Let v be a(y). What is the second derivative of -1351*j**v + 16*j**5 + 1351*j**3 + 32*j wrt j?\nAnswer: 320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 65.634 + -65.5. Which is the smallest value?  (a) p  (b) -2\/7  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(2\/5))**(-45)\/(d*d**(-1))**11)**(1\/8) assuming d is positive.\nAnswer: d**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 172948 times 1733\nAnswer: 299718884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -143 - -144. Let h be 9\/12 + (-26)\/(-8). Let t = -10 - -7. Which is the second smallest value?  (a) t  (b) d  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7048*g**3 + 4256 with respect to g.\nAnswer: 21144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h**(-12)\/h*h*h\/(h\/(h\/h**(1\/18)))*h*h*h**32*h**(3\/11) assuming h is positive.\nAnswer: h**(4795\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -30*r + 3. Let f(z) = 12*z - 1. Let g(q) = 307*q - 29. Let k(s) = 13*f(s) - g(s). Give -11*d(x) + 2*k(x).\nAnswer: 28*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1794915 divided by -598305?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2917 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 9 = -3*f, -f - 9 = -p - 4*f. Suppose 3*t - 26 = 4*h, 0*h = -5*t + 3*h + 47. What is the remainder when p - 2 - (0 + -21) is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of q**7\/21 + q**6\/24 - q**5\/6 - 5*q**4\/24 - 107*q**2\/2 + 12*q. Let f(l) be the first derivative of p(l). Factor f(v).\nAnswer: 5*v*(v - 1)*(v + 1)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v + 2 - 2 + 0 + 0 - v + (1 + 2 - 2)*(-v - v + 4*v) + 5 - 5 + 2*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**3 + 6941*k**2 + 7*k + 4. Let s(r) = r**3 + 6897*r**2 + 5*r + 3. Calculate 4*s(y) - 3*x(y).\nAnswer: -2*y**3 + 6765*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 5*d**3 + 12*d**2 - 3*d + 4. Determine r(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x**2 - 244985 - 24*x**3 + 244985 - 239*x**3 + 2*x**2.\nAnswer: -263*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-119 - (-127 - 3)) + -3 + 3 + 95 + 1.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.4, 16, -1, -1\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-7))\/(53\/(5936\/(-48))).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122233331103 (base 4) to base 6.\nAnswer: -410143443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 222 from 3950.\nAnswer: 3728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -156895696 divided by -56764.\nAnswer: 2764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/((-470)\/(-11844)*(-12)\/(-20))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 374 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 35521526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l*l\/l**6)*l\/(l**(-1)\/l)*l\/(l**(-10)*l)*l*((l**(1\/6)*l*l)\/l*l)\/l assuming l is positive.\nAnswer: l**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-59)\/((-4)\/12*3) + -1. Calculate the highest common divisor of b and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -47321282 - -44.3134.\nAnswer: -47321237.6866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 1\/3  (c) -3  (d) 13  (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 256 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -155.1 plus 95630?\nAnswer: 95474.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 58 + 12 + 10 - 4 + 22*z as l*z + c and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -9, -157, -0.3, -1\/6, 3, 3\/7, -0.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -2*v + 15, -3*v = t + 2*t + 15. Let p = 953 - 40977\/43. Let u = 35\/172 + p. Is v >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 120 is divided by (-3 - 1) + (11 - 2) - -36?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ryyy when four letters picked without replacement from {r: 10, y: 9}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**5 + 0*i**5 + 3*i**5 + (i - i + i)*(i**2 - i + i)*(i**2 + 7*i**2 - 7*i**2).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 PM and 2:06 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -7.93. Sort 2\/7, -1\/5, n in descending order.\nAnswer: 2\/7, n, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/9*(-5)\/(-20)*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.39385 * 0.18\nAnswer: 0.070893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 16623840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4045798, -8091663, -12137528, -16183393, -20229258?\n\"Answer: -4045865*c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 18305 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10165, 20312, 30463, 40618, 50777, 60940?\nAnswer: 71107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 193691 is divided by 857.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-30))\/((-46)\/115)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 + 10 - -8 - (-7 - -4).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4063832491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18494 and 1127.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13267519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-1 - 3 + 3)*(5 - 6 + 6) - 5 + 1 + 0)*(-16*m - 1459 + 1459) to h + c*m and give c.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 247.8  (b) -2\/3  (c) 5  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -3*x**2 - 2*x + 2. Let r be 5 + 280\/(-55) + (-63)\/33. Let t(a) = -a**2 - a + 1. Determine r*c(u) + 4*t(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 81 - 86. Sort -4, i, 9, -3 in descending order.\nAnswer: 9, -3, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**2 - 8 + 2 + 4 + 1.\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 - 6*w + 1. Let x be h(-5). Let f(l) = -3*l + 23. Let j(t) be the third derivative of t**4\/24 - 4*t**3\/3 - 2*t**2. What is x*f(m) + 17*j(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18736478, 18736491, 18736504, 18736517?\nAnswer: 18736530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -86, -78, -58, -20, 42, 134, 262, 432?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3493*h - 13316*h**2 + 0 + 15007*h**2 + 0 wrt h.\nAnswer: 3382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 0*j - 3 + j + 10. Suppose -2*u = -u. Determine n(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.2 and -15.4.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9803428?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1560 and 5785?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-93)\/(-8))\/((-1)\/2)*56608\/(-21228)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.6, 4, 2\/9, 0.2 in decreasing order.\nAnswer: 4, 2\/9, 0.2, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**4 - 315*t**3 - 325*t**2 + 315*t + 320.\nAnswer: 5*(t - 64)*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p = -5*p - 72. Solve -3*z - z = -p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3956734465 to the nearest integer?\nAnswer: 62903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3, 5, -131.\nAnswer: -131, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 9, -3*n - q = -n + 507. Let b = 259 + n. Solve b*c - 12 = 7*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f**2\/2 + 23*f\/2 - 51 = 0. What is f?\nAnswer: 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/1)\/((-9)\/(-63)) + (-1885)\/319.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -126513, -126515, -126517, -126519, -126521, -126523?\nAnswer: -126525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/5?  (a) 0.4  (b) -2  (c) 3\/2  (d) -1\/5  (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*p + 39*p - 34*p**3 - 21*p + (-2 + 2 + 1)*(2*p**3 + 6328 - 6328 + 232*p**2) as y*p + t*p**2 + b + i*p**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30 - -32. Suppose -r*s + 2*m + 1 = -5, 5*m - 1 = s. Suppose s*p = 319 + 37. List the prime factors of p.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.3 - 0.1. Let p = 39 - 41. What is the second biggest value in 5\/2, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 17*f**4*m + 940*f**3 + 3*m + 1650 wrt f?\nAnswer: 68*f**3*m + 2820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (32 - (10 - -11)) + (-76 - ((4 - 3) + -1))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -81, -202, -401, -672, -1009, -1406, -1857?\nAnswer: -2356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5 - ((-32)\/8 + -10 + -6). Let v(n) = -24*n**3 - n**2 + 1. Let t be v(-1). Is r > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -216*g + 145*g - 1 - 1 to l*g + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 2*y - 24 = 0, 2*y = -1 + 11. Suppose 2*c - q = -3*b + c, 5*b - 2*c - 5 = 0. Solve -b*o - 13 = -4*t + 3, 3*t + o + 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 336086 divided by -1.\nAnswer: -336086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 54 and 16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 321023 (base 4) to base 3.\nAnswer: 12000112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1448237 + 1448237.3. Let r = 12 + -17. Which is the closest to 16?  (a) i  (b) -11  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(8) + (4 + -3*sqrt(8))**2 + ((sqrt(8)*3 - sqrt(8)) + sqrt(8))*3 + 0.\nAnswer: -28*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 697, 862, 1037, 1228, 1441, 1682, 1957, 2272?\nAnswer: 2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*p = v + 5*p - 5, 3*v = p + 4. Let g(w) = w**2 + w - 1. Let b(s) = -4*s**2 - s - 1. What is v*b(n) + g(n)?\nAnswer: -3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v\/(v\/(v\/(v*v*v**(-10)*v)))*(v*v\/(v*v\/v**(-2)))\/v)\/(v**3)**30)**(1\/6))**(9\/2) assuming v is positive.\nAnswer: v**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 2 = 2*l + 16, 2*p - l - 5 = 0. Suppose -t = -2, -2*o + p*t + 84 = -0. Does 23 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-1*sqrt(363) + -5 - (-1 + sqrt(363))*-3))**2.\nAnswer: -5632*sqrt(3) + 24256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 153 - 152. Let t be a*-10*(748\/55 + -2). Is -114 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53988, 107986, 161984, 215982, 269980, 323978?\nAnswer: 377976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (20 + -2)\/(-3) + 0. Let f(g) = -g + 6. Let a(i) = -3*i + 11. Let w(l) = -2*a(l) + 5*f(l). Let k be w(n). Solve 3*z + k = -7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 4, c: 14}. What is prob of picking 1 c and 3 t?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 0.3  (c) 132  (d) -4  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 17*u - 3. Let v(q) = -84*q + 16. Give 16*l(h) + 3*v(h).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*h + 6 - 6)*(286 - 98 + 301 + 139).\nAnswer: 3140*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/7*56\/(-16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 - 10*i**2 - 21*i + 10. Let b be u(-9). Suppose -4*a = a - 15. Let l be b\/14 + a\/(-7). Solve 6*w - 2*w = -3*t - l, w - t = -2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1050 and 12483800?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of -5*z**3\/6 - 3*z**2\/2 - z. Suppose -23*j + 18*j = -15. Let d(a) = 4*a + 3. Let i(q) = j*u(q) + 4*d(q). Give i(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b - 1. Let c(q) be the third derivative of -q**4\/24 - 20*q**2. Let m = 6 + -8. Let s(n) = m*r(n) + 2*c(n). Differentiate s(y) wrt y.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 5*o**3 - 3*o**2 + 10*o - 2. Let v(w) = -6*w**3 + 3*w**2 - 11*w + 2. Let p(f) = -7*r(f) - 6*v(f). Let x be p(-4). Is x smaller than 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1058\/(-2392)*-52)\/1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -77*i - 2839. Let v be g(-37). Solve w - 12 = -4*c, 0 = -v*c + 11*c - 3*w + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -0.5, -941\/2 in decreasing order.\nAnswer: -0.5, -2\/3, -941\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 0*u = -2*t + 108, 4*u + 3*t = 219. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13\/161675 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4296174 and 402.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, e: 2, p: 1, f: 2, u: 5, y: 2}. Give prob of picking 1 p and 1 y.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 - m**2 + 6*m - 12. What is the hundreds digit of z(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 6031, 6166, 6361, 6616, 6931, 7306?\n\"Answer: 30*m**2 + 45*m + 5956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 + 1. Let v be (2 - 4)*66\/(-4). Let d = -30 + v. Let t(b) = -1 + 5 - 7*b**2 + 1 + d*b**2. What is 5*j(f) - t(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -59244.7 times 179\nAnswer: -10604801.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(208) - (((sqrt(156) - sqrt(156)*-1) + sqrt(156))\/sqrt(12))**2).\nAnswer: -116 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**5\/19 - 10*n**4\/19 + 2*n**3\/19 + 26*n**2\/19 - 4*n\/19 - 16\/19 = 0. What is n?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 51\/7, 10170, 2, -0.4, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 + 6 = -3*q + 5*o - 16 - 0, 7 = 3*q - 4*o for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f**3 - 11 + f**2 + 12 - 7 to i*f**2 + b + h*f**3 + t*f and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - 3 - 56\/(-10). Which is bigger: -10\/11 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4259 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -5*k - 155, -2*k = 3*f - 4*f - 40. Find the common denominator of -93\/20 and f*1\/28 - -1.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = 4*h + 57. Let s = 63 + h. What is the highest common divisor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -161415, -161413, -161411?\n\"Answer: 2*f - 161417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/10656 and 131\/48.\nAnswer: 10656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -24*n + 108391. Let z(o) = -8*o**2. Give w(z(l)).\nAnswer: 192*l**2 + 108391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1886\/(-161) - -12)\/(0 + (-18)\/21).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 - 160?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -5. Let a = 7 - w. Let t = a - 0. Solve 15 = t*g - 0*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29\/(290\/(-84))*(-14 - (-1411)\/119)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 89, -4, 5, 12, -3.\nAnswer: -8, -4, -3, 5, 12, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 192 and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3720 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64, 133, 190, 229, 244, 229, 178?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-4)*2 + -1. Suppose -j - 2 = a - 3, j = w. Suppose 3*l - 4*l = a. What is the nearest to 1 in 0.4, 0.3, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000017571 rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1098256 and 1660.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -51771\/4659668 + 1\/20618. Calculate the common denominator of o and 37\/38.\nAnswer: 8588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 379, 384, 393, 406, 423, 444?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**8\/m)*m)\/m*(m\/(m**(-3\/5)\/m))\/m*m**(2\/51)\/(m**11\/m*m) assuming m is positive.\nAnswer: m**(-3917\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -k**4 - 29*k - 15 + 60*k + 2*k**2 - k**3 - 32*k as l*k**3 + p*k**2 + g*k + t*k**4 + w and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1130.804 - 1088.7. Let s = 42 - v. Let f = s + -0.296. Which is the second biggest value?  (a) -6  (b) -4  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*m**3\/5 - 8622*m**2\/5 + 60452*m\/5 = 0. Calculate m.\nAnswer: -4318, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32 is divided by 3\/1 + -10*(-12)\/15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of 0 - 1\/3*c**3 - 3\/2*c**2 + 4*c. Differentiate a(l) with respect to l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70*0.2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (79\/(8848\/(-96)))\/(2\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 + 16*g**2 - 46*g - 1. Let w be c(12). Solve 4*b + w - 76 = 5*v, 0 = -3*b - 3*v + 6 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of n**2 + 2878*n + 4*n**2 + 4*n**2 - 2893*n wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 328020\/14784*80\/25.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*i**2 - 562 + 1117 - 3*i**2 + 16*i**2 - 555.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 306, 299, 270, 207, 98, -69, -306, -625?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/13)\/(y*(y**(-9)\/y)\/y*y))\/(y**(-1\/2)\/y*y**(-6\/5)*y))\/(((y*y**9*y*y)\/y)\/y**(-8))**(14\/3) assuming y is positive.\nAnswer: y**(-30437\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -26.6 - -22. Let n = d - -5. Let y = -4 - -8. What is the biggest value in y, 1\/4, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 13\/1610 and 62\/38325.\nAnswer: 1762950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-165)\/(-792)*(-12)\/(-80)*1).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**5\/7 - 220*s**4\/7 - 18140*s**3\/7 + 283980*s**2\/7 - 436824*s\/7 - 738720\/7 = 0. Calculate s.\nAnswer: -54, -1, 3, 12, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 6) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2045*f = -2117*f + 533 + 835 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17740084 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 11:52 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 577.479 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -755*r**2 - 154*r**2 + 912 + 36*r**2 + 209*r**2 wrt r?\nAnswer: -1328*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 688, 2749, 6184, 10993, 17176, 24733, 33664?\nAnswer: 43969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/16800 and -19\/1437360.\nAnswer: 100615200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 13130321313?\nAnswer: 13130321323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*p**2 + 968 + 989 - 1942)*(0 + p**2 + 0).\nAnswer: 16*p**4 + 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -864, -1723, -2566, -3387, -4180, -4939, -5658, -6331?\nAnswer: -6952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 10.1. Let w = y - -2.1. What is the third biggest value in w, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4289462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2214688241 to the nearest integer?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2250 = -3*b + 4*g - 981, 0 = -3*b - 2*g - 3231. Let i = 1585 + b. Suppose -i = 3*r - 7*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-21) - (-18)\/(-14). Let h be g*(3 + -6 + 1). Factor 0 - 1\/3*p**h + 0*p.\nAnswer: -p**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -41 + 46. Suppose 0*n = -o*n + 5. Suppose 0 = -2*s + 1 + 1, 4*z - 5 = -s. What is the greatest common divisor of z and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000076200589 to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 + h + 7. Let n(u) = -u**2 + u + 8. Let b(v) = -6*n(v) + 7*x(v). Let t(w) be the first derivative of b(w). Let o = -1 - -2. What is t(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 4 = -0*u, 0 = 3*i + 4*u - 632. Suppose -4*d = p - i, 5*p + 2*d = 861 + 197. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 5*c = 4 + 2, 4*q - 26 = -5*c. Sort -17, q, -2 in descending order.\nAnswer: q, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-70)\/(-7) - (1 + -3). Suppose a = -v*a + 21242. List the prime factors of a.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 4*z + 4 = 0, 4*k - 2*z = 1 + 1. Which is bigger: k or -1.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 - 8. Which is the nearest to 1\/2?  (a) -1\/2  (b) n  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 15. Let q = n - 12. Suppose q = -5*p - 5*v + 60, -p - v = -4*p + 36. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 179\/127512 and -139\/11178.\nAnswer: 3442824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, -1439, -152, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1420)\/40*-7*84\/(-147).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 92.899253 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g - 8. What is i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*n + 98 = 2*y, 5*y - 77 + 37 = 5*n for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(133)*5 - (sqrt(133) + (sqrt(133) + -5*-1*sqrt(133) - sqrt(133))))\/((sqrt(14) - sqrt(14)*-2)\/sqrt(2) + (sqrt(7) - sqrt(84)\/(sqrt(12)*2))).\nAnswer: 8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2972 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -240369 - -14?\nAnswer: -240355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -900 or -899?\nAnswer: -899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -3. Let z(s) = 3. Let b(j) = 4*h(j) + 5*z(j). Let i(c) = c - 6. Let m(a) = -5*b(a) - 2*i(a). Give m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r + 2*r + r)*(-r - 2*r + r) + (0 + 0 - 4*r**2)*(-5 + 0 + 4).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 54522216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g - c - 14 = 0, 3*g - 20 = -3*c - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do -53176677 and -53176675 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -313 - -311. Let p(f) be the second derivative of -4*f**3\/3 - f**2 - 4*f. Let t(m) = -33*m - 9. What is b*t(v) + 9*p(v)?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = -2*g. Suppose 0 = 5*c - k - 415, g = -2*c + c - 4*k + 83. What is c rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 4 = 0, 4*j - 30*g = -25*g + 7. What is f in 15\/7*f**4 + 0 - 6\/7*f + 27\/7*f**2 - 36\/7*f**j = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6004 and 4372?\nAnswer: 6562372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-6)\/r)\/r**3)\/(r\/(r\/(r*r**(-1)\/r)))**(-19) assuming r is positive.\nAnswer: r**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 + 16*y - 18. Let j be q(14). Suppose r - 4 = -4*l - 0, 0 = 3*l + 4*r + j. Let d(b) = 25*b - 9. What is the tens digit of d(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2098 + -3230. Let o = u + 1131.95002. Let x = o - -0.05. Round x to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + -1)*3 - sqrt(70)\/(sqrt(20)\/sqrt(2)).\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 41, 59, 69, 65, 41, -9?\n\"Answer: -u**3 + 2*u**2 + 19*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -0.5  (c) 130\/4223  (d) 6\/11  (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1010000100111000 (base 2) in base 7?\nAnswer: 231220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 10*y - 8. Let p be a(1). Solve -q + p*s - 13 = 0, 5*s - 22 = q + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -22*h + 221. Suppose -3*v - 10*s + 83 = 0, 100*s + 17 = 2*v + 99*s. Calculate z(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170*s = -4942 + 5622 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/4*200\/(-10). Suppose -m*q = q - 930. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17)\/612*-2*(-378)\/(-60)*15.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/13502 and -22\/3.\nAnswer: 40506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -c + 6. Let d be c\/((3 + -1)*3\/(-4)). Let o(t) = 3*t**3 - t**2 + 4. What is the units digit of o(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 2 + 11 + 3*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -214 - -224. Solve m*r + 12 = 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -110 + 113. Suppose 2*g = -l*n - 13 - 47, 0 = 4*g + 12. Which is smaller: -20 or n?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 141\/46480 and -47\/88256?\nAnswer: 36626240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 454 + 0?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 2 - 2\/2)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 109887?\nAnswer: 3, 36629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16062621 is divided by 4015644?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 526799.\nAnswer: 7, 13, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2\/71, -5\/2, 1.8?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 110*a**4 - 18*a**4 + 7 + 17*a + 7*a**2 - 17*a wrt a.\nAnswer: 2208*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of -i**4\/24 - 19*i**3\/6 - 16*i**2 - 2*i. Let c be 5*-6 + 6 + 6. Calculate m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 8  (c) 5  (d) -0.2  (e) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -84 (base 15) to base 8\nAnswer: -174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.589 and 2.\nAnswer: -7.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(36)\/(sqrt(18)*-4 - sqrt(2)))\/((3*sqrt(6)*-1 - sqrt(18)\/(sqrt(3)*-1))*3).\nAnswer: -sqrt(3)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -9*t - 11*t + 23*t. Let v(z) = 22*z**2. Determine x(v(p)).\nAnswer: 66*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0275604187 to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = -12*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*d + 134*d - 22 - 23*d - 14 - 2.\nAnswer: -3*d - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/136 and -7\/52.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 143004, 286010, 429016, 572022, 715028, 858034?\n\"Answer: 143006*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o - 2*o + 2*o + (-2 + 2 + 1)*(-o - 3 + 3))*(-2 + 1 + 2) + 398*o - 3537 + 3537.\nAnswer: 399*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -152903.\nAnswer: 61161.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -108100 * 1107.\nAnswer: -119666700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -3*(6*sqrt(2057)*6 + sqrt(2057) + 5)*-6*3*-4.\nAnswer: -87912*sqrt(17) - 1077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -14. Let w(b) = b**2 - 14*b + 2 - 16*b + 23*b. What is w(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*m - 21216 + 21304 = 0 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1549427 to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7937301402137 and -0.4.\nAnswer: -7937301402137.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 375 is divided by ((-15)\/9 + 1)*28*(8 - 17)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -1  (b) 4\/5  (c) 3  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 61 + -40 + 1 + (-15 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6240 times 11?\nAnswer: 68640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 470.54 + -9.54. Let s = -460.9999387 + g. Round s to six decimal places.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 - 3)*(-3 + 0 + 2)*(102 + 75 - 200)*(8*h**4 - 2*h**4 + 7*h**4).\nAnswer: 897*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-5))\/((-616)\/(-20020))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/13 in -5, -3, 1\/2, 2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of 302*x**3\/3 - 854*x - 263. Find the first derivative of t(l) wrt l.\nAnswer: 604*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w + 10, -7*p + 4*w + 1175 = -2*p. Suppose -4*o = -2*u - 71 - p, -o + 62 = -5*u. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/12)\/(1\/51). Let q = y + 60. Suppose 425 = -q*z + 48*z. What are the prime factors of z?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430490 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67501, 47999, 28495, 8989, -10519, -30029?\nAnswer: -49541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + (sqrt(9)*1)\/sqrt(3) - sqrt(3))*6.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 23 = 1. Let b = 9 - p. What are the prime factors of 0\/3 + b - -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*j + 87 = 5*j. Solve 3*d = 0, t - 2*d = -j*t - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.1339 + 0.1339. What is the closest to -2\/7 in a, 4, 72?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.6, -54, 115, 0.38 in decreasing order.\nAnswer: 115, 0.38, -0.6, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.029, -1\/4, -0.3, -2, 50 in ascending order.\nAnswer: -2, -0.3, -1\/4, 0.029, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 50.6 + -667.6. Let t = -156539.89253 - -155922.89. Let a = t - p. Round a to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1153453 + -2?\nAnswer: 1153451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13 - 3262213?\nAnswer: -3262226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 122\/5 + -493\/20. Which is the third biggest value?  (a) t  (b) -3\/4  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2150013144 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 70 + 0\/(-3) + -4. What is the highest common factor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7 * 7.1521.\nAnswer: 50.0647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -10*d**3 - 3*d**2 + 4*d + 3. Let k be v(-3). What is the units digit of (k\/27)\/(4\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-5)\/(-28))\/1)\/((-6)\/16)*(-2454)\/2045\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10200302103 (base 4) to base 9\nAnswer: -2202526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -52 at least -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -388 and 1.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113*k = -132*k + 2805863. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -5\/77974?\nAnswer: -5\/77974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 39743361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/2)\/((-1)\/2). Factor 0*c**2 + c - 4*c**2 + 3*c**q + 2.\nAnswer: -(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, -3, -233, -2204, 3 in decreasing order.\nAnswer: 4, 3, -3, -4, -233, -2204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2403?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -806*u + 49 = -757*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**3 - 6*f**2 - 8*f - 39. Let o be (-40 - -31)*6\/9. Let s be c(o). Solve -7*d = s*d - 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 312 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 91.72 + -91.6. Let w = 78 - 78.4. Which is the closest to i?  (a) w  (b) -1  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3 = 1. Suppose 5*r + 4 = 2*r + 5*x, s*r + x = 6. Suppose r*a = 2*p + 10, -5*a + 55 = -5*p + 6*p. Calculate the highest common divisor of 150 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-56 + 84 - 57).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 - 34*r**2 - 15*r - 45. Give f(-34).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1018282 and 0.03?\nAnswer: 1018281.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 741.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1031 + 1132?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2279 and 0.05.\nAnswer: 113.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 143  (b) 0.01  (c) -1  (d) 1\/13  (e) 0  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1397536 and 7809760.\nAnswer: 132765920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -6*c**2 + 2*c - 1. Let j be d(1). Let y = j - -10. Let q(h) = h**3 + 7*h**2 + h. Let m be q(-5). Solve 3*z + 6 = z - 4*o, -5*z + y*o = -m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 663 minutes after 11:30 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4100 and 3300.\nAnswer: 135300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 579 and 58680.\nAnswer: 11325240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 71052.52 millennia in months?\nAnswer: 852630240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 5*y + 55 = 0, 2*j + 2*y = y + 20. Let r = -8 + j. Which is the third biggest value?  (a) -2\/7  (b) 3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -29*x**2 + 13*x**2 - 22 - 23*x + 9*x**2. Let l(z) = -190*z**2 - 620*z - 595. Let r(h) = -55*j(h) + 2*l(h). Determine v so that r(v) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*y**4 + 254*y**2 - 32*y + 20594.\nAnswer: 8*y**3 + 508*y - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 162755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 20*z**2 + 994*z + 4966. Give o(-5).\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -55, -5, 78, 4.\nAnswer: -55, -5, -4, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 694501464?\nAnswer: 2, 3, 28937561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/20500 and -77\/36.\nAnswer: 184500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.09 * 59.6.\nAnswer: -5.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 438\/(-146) - 3\/((-54)\/57). Let r be (-6)\/(-54) - 2\/(-9). What is j in -x*j**2 - 1\/3*j**3 + r*j + 0 + 1\/6*j**4 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-21)*14\/18\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24195 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: Express ((-u - 1 + 1)*(-2 + 5 + 1) - 2*u + 2*u + 3*u)*(10 - 10 + 6*u) as f*u + p*u**2 + d and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -j**3 - 2*j**2 + 789*j + 12588.\nAnswer: -3*j**2 - 4*j + 789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4098.22 - 4098. Which is the fifth biggest value?  (a) -1\/15  (b) 3  (c) 0.5  (d) q  (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 200*s - 66*s**2 + 22*s**2 - 496*s - 1 + 29*s**2.\nAnswer: -15*s**2 - 296*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-6)\/p**(-3\/11)*(p\/(p*p\/(p*p**(-10))))**(2\/101))**(-2\/27) assuming p is positive.\nAnswer: p**(13166\/29997)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -184 - -5?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -105*i**2 - 103347*i. Let n(d) = -29*d. Determine f(n(p)).\nAnswer: -88305*p**2 + 2997063*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 888 + -528. What is the greatest common factor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -463, -468, -473?\n\"Answer: -5*j - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pbppbpppppp. What is prob of sequence bb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 18*m**3 - 12*m**2 + 246*m + 3. Let h(b) = -37*b**3 + 23*b**2 - 494*b - 7. Let u(c) = -3*h(c) - 7*v(c). Find the second derivative of u(k) wrt k.\nAnswer: -90*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(6)*-2)\/(sqrt(22)\/(sqrt(44)\/sqrt(4))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/19  (b) -6  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide ((-90)\/7)\/(3\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nfn when three letters picked without replacement from {n: 5, s: 3, f: 5}.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 358688 and 528.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1286376*4\nAnswer: -5145504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/42*7\/(-4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 315 = -5*m, -7*m + 351 = -2*m - 4*b. Let x = -66 + m. Sort -3, x, 5, -4 in decreasing order.\nAnswer: 5, x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 604 + -1161\/2. Let h be (-4*1)\/(3\/30). Calculate the common denominator of (-1)\/4 - (-394)\/h and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 58ab + -2?\nAnswer: 58a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 7:13 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 769, 1542, 2317, 3094?\n\"Answer: a**2 + 770*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*j + 26905 = -13819 - 15535. What is the remainder when j is divided by 62?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that -3*u**3 - 64974*u**2 - 6603939*u - 168201468 = 0.\nAnswer: -21556, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x + 3. Let l = -10 - -25. Let u = 16 - l. Let v(y) = 2 + 2 - 3. Calculate u*f(k) - 4*v(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1910 + 1907. Put -18, 3, k, 4 in ascending order.\nAnswer: -18, k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 - 1)*(587 + 675 - 235)*(-3 - 2 + 3)*(2*m**2 - m**2 - 3*m**2) in the form u + c*m**2 + h*m and give c.\nAnswer: -8216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42 and 3654.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2372 and 36289228?\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 42 = -5*v - 97, -35 = 5*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 491529317, 491529319, 491529321?\nAnswer: 491529323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7648994 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1327015394 - -14608\nAnswer: -1327000786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mrm when three letters picked without replacement from vmmrelr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 179 divided by -91\nAnswer: -179\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/20 + 35*(-1)\/(-4). Let l(g) = -g**2 + 9*g + 7. Let u be l(z). Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -56372*f. Let p(g) = 1763*g. What is p(y(o))?\nAnswer: -99383836*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/4 + -2 + (-1161)\/(-301). Is 4 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aexaaazz. Give prob of sequence xz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 3*f + 442, -t + 0*t = 5*f - 106. What are the prime factors of t?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6945418*u**3 - 3654606*u wrt u?\nAnswer: 41672508*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the first derivative of -9*z + 9\/2*z**2 - 5 + 1\/3*z**3. Does 27 divide b(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1855875, -1855873, -1855855, -1855809, -1855723, -1855585, -1855383, -1855105?\nAnswer: -1854739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9297 and 13429.\nAnswer: 120861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 44 = -0*u. Suppose -5*y + 4 = -4*l, 3*l + y = -u - 11. Let w = 13 - l. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z = -0*z + 5*z + 11731*k - 11716*k + 153, 2*z + 0*z + 2*k + 22 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 103 - 123. Suppose -g + z = 3*h - 2*g, 4 = 2*h - 3*g. Find the third derivative of -14*x**3 - 22*x**5 + 10*x**2 + h*x**3 + 6*x**3 wrt x.\nAnswer: -1320*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)*4*-6)\/sqrt(5)*-3.\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195*d - 115*d + 1 - 1.\nAnswer: 80*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 261*u - 215*u - 813234 = 0. What are the prime factors of u?\nAnswer: 3, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 12 = -3*o - 2*d, 2*o = 5*d + 12. Let u = o - -5. Let k be 2*3 - (3 - u). Is k less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1222877*y**2 + 2972971*y**2 - 186477*y**2.\nAnswer: 4009371*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 3012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 + 10*u - 14. Let f be l(-12). Let k(g) = -g**3 + 9*g**2 + 3*g + 12. Let v be k(f). Let n = v + 56. Which is smaller: n or -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 AM and 11:33 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 4*m = 4. Differentiate -12 + 12*j**4 + 1 - 6*j**m wrt j.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(190)\/sqrt(160) + -2*sqrt(19) + 4.\nAnswer: -7*sqrt(19)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-378)\/11664*9)\/(13\/(-39))\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 64*o**2 + 5*o - 68*o**2 - 29*o**4 - 1 + 31*o**4 to the form w*o**2 + l*o**4 + m + d*o**3 + g*o and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 11. What is the second derivative of f - 3*v + v**2 + 2*v - 9 wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6.29 - 6.39. Which is the biggest value?  (a) g  (b) -13  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16997 - 16994. Let y(o) be the first derivative of -6\/5*o**5 - 17 + 0*o + 0*o**4 + 9\/2*o**2 + 0*o**g. What is the second derivative of y(z) wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137659466 is divided by 183791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.11 + 0.142. Let z = q - 0.0294. What is z rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t + 3. Let p be w(0). Suppose -p*c + 4*d - 7 = 0, 47 = -3*c - 4*d - 0*d. Is (c\/(-2))\/(2\/12) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 287683 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -7\/5  (b) 1  (c) -1\/3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**5\/i*i*i**8*i*i*i**3*i**(-13))**29 assuming i is positive.\nAnswer: i**145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 321984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140 + 11580 = 65*j. Which is smaller: j or 174?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7)\/28 - (-3409)\/4. Let r = 1425 - o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 128 and 14932768?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 17*z + 2*r = 54, 5*z + 72 = -4*r. Let h(c) = -c**3 - 11*c**2 + 14*c + 17. Give h(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1809, -5, 1, 13, -5.8 in decreasing order.\nAnswer: 1809, 13, 1, -1, -5, -5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -93.917 + 94. What is the nearest to 2\/7 in -5\/2, -0.2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1011420 = -13664*x + 2426*x for x.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 618561882 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1302 - -3907\/3. What is the smallest value in -3\/4, -1\/3, c, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 106 + (12\/(-39))\/(510\/3315)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 46\/5 of a decade?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (210 - 181) + -1 + -1 + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5\/6?  (a) 7.95  (b) 74  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0048*-0.8.\nAnswer: -0.00384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 496 is divided by 47?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 394 divide 2009760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9421*a**2*x**5 + 10497*a**2*x + 65*a + 224*x**5 - 4*x wrt x.\nAnswer: 188420*a**2*x**3 + 4480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = -112*k + 114*k - 19, 5*b + 17 = k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1708, 3417, 5128, 6841, 8556, 10273?\nAnswer: 11992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1006)\/10 - 4\/10. Let a(b) = -134*b - 907. Let d be a(-6). Let r = z - d. Solve t - 5*h + 10 = 0, 0 = t + t + r*h - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -11\/3, -1, 0, -0.08, -0.1 in increasing order.\nAnswer: -11\/3, -1, -0.1, -0.08, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) -2\/163  (c) 0  (d) -286  (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 7789698 and 16.7225?\nAnswer: 7789681.2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7251, -15971, -26149, -37779, -50855?\nAnswer: -65371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15 + -240552?\nAnswer: -240535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 671*(-10)\/(-1100)*(-70)\/7.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (-7 - -5 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145*x - 3*o + 3595 = 1408, -62*o + 66*o + 44 = -4*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 106*g. Let i(u) = u**2. Determine p(i(h)).\nAnswer: 106*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 511 + -521 + (-1 - -51)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + g + b - 16 = 0, -5*g + 3*b = -48. Let t(n) = n**2 - 6*n - 22. Is t(g) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 31*d - 116. Let x be (20\/(-12))\/(d\/6 - 1). Let g(r) be the first derivative of -r**2\/2 - 3*r - 3. Calculate g(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 280247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -1*sqrt(98) - sqrt(98))**2 + (sqrt(2) - (sqrt(2)*1)**2 - sqrt(2)) + 0 + -5)*-6.\nAnswer: -2406 + 672*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -362 + 623. Calculate the greatest common factor of p and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -404 and -0.3?\nAnswer: 121.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -71 - -72. Let g(w) = w**2 + w - 1. Let n(a) = -4*a + 2 + 6*a**2 - 3 + 13*a. Let c(s) = v*n(s) - 5*g(s). Determine f so that c(f) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 5*d**2 - 249445*d - 192723250 = 0.\nAnswer: -761, 50650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 95 and 15580.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2035 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 8 = -2*m + 5*m, -q - 4*m + 2 = 0. What is the remainder when 2 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45 divided by -1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.061 - 0.361. Sort -2\/47, m, 4, -2 in descending order.\nAnswer: 4, -2\/47, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 819*q - 1. Let s(d) = 49*d**2 - 30*d**2 + 20*d**2 - 31*d**2. What is c(s(t))?\nAnswer: 6552*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 580039?\nAnswer: 211, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 34 = -5*l, -4*r - 83764 + 83796 = -4*l for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 8:33 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -26, -29, 128, 577, 1450?\n\"Answer: 22*m**3 - 52*m**2 - m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*q - 497 = -35*q. Suppose -5*u = -3*t + 738, 714 = 3*t - 3*u + 6*u. Suppose -4*w + v = -q, -2*w - v = -0*v - t. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 2\/51  (b) 0.4  (c) 87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4417069437?\nAnswer: 3, 11, 1709, 26107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9.9 + 12. Let w = 7.9 + m. What is the third smallest value in 0, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 3 + 10 = -2*r, -r = 4*c - 19. Solve -22 = 3*v + c*o, 8 + 17 = -5*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 375378 and 8.\nAnswer: 1501512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - 2. Let f = 0.1934 + -0.5934. Put f, 4, g in decreasing order.\nAnswer: 4, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l*w**4 - 10*l*w**3 - 5694454*l*w**2 + 2*w**4 + 950*w**3 wrt w.\nAnswer: 24*l*w - 60*l + 48*w + 5700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 59321842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1127 - 1128. Let l = 27\/4 - 13\/2. Let b(t) = 2*t + 7. Let h be b(-5). Put n, l, h in descending order.\nAnswer: l, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1423, 1406, 1389?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9226\/(-35)*(1 - 236).\nAnswer: 2, 47, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, -2, -67 in descending order.\nAnswer: 5, -2, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 154, 149, 132, 97, 38, -51, -176, -343?\n\"Answer: -f**3 + 2*f + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 179*j**2 - 4. Let f(n) = -13*n**2. What is g(f(c))?\nAnswer: 30251*c**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c*c**(2\/9))\/c*c*c**(-11)*(c*c\/((c*c**1)\/c))\/c**14)**40 assuming c is positive.\nAnswer: c**(-7840\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.6082 and -670?\nAnswer: -2417.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ens when three letters picked without replacement from {v: 1, e: 2, w: 1, k: 1, s: 1, n: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 0  (c) -5\/1111  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 410188466 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -14*p**5\/5 - 14*p**3\/3 - 9. What is the third derivative of v(t) wrt t?\nAnswer: -336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 295742837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 127 divide 2570353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t - t + 98. Suppose 0*i + i + 4*s = 54, -t = -2*i - 3*s. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -216, -486, -864?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 227 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 4. Let f be 1*(-51 + k)*-16. What is f rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -4*l**5 + 194*l**4 + 2892*l**3 - 8030*l**2 + 6628*l - 1680 = 0.\nAnswer: -14, 1\/2, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 88 - 84 = 0. Suppose 5*o + 44 = 6*o - q*d, d - 44 = -o. Calculate the highest common factor of o and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 742 and 12344866.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/110 and 4 + (-85)\/275*16.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 - 6*l**2 - 4. Let h be 2\/(-8)*2*-14. Suppose -2*c + h*c - 20 = 5*v, -3*c - 3*v - 6 = 0. Let i be (1 - 4) + (-2 - c). Determine j(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38670 divided by -7734\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4622887, -18491538, -41605955, -73966138?\nAnswer: -115572087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3*-3.482\nAnswer: 10.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 13196*c**2 - 212*c - 210. What are the prime factors of f(-1)?\nAnswer: 2, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 31 = 3*a, -3*t + 2*a - 1 - 10 = 0. Let b = -1 - -3. Let p(r) = -2*r**2 + 3*r**2 - b*r**2 + 5 - 6*r. What is p(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 5*m + 2*m**2 - 6*m - 1 + 3 - m**3. Determine i(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12030 - 10?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14858\/1656 - (6 - (-7)\/(14\/6))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -26*h + 1052. Give l(-7).\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 2*p = 44, -3*g - 2*g + p = -53. Let a(h) = -h**3 + 9*h**2 + 12*h + 7. What are the prime factors of a(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61809 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of 2*m**2 + 1\/6*m**3 - 8*m - 1\/10*m**5 + 2\/15*m**6 + 1\/42*m**7 + 1 - 2\/3*m**4. Factor v(j).\nAnswer: (j - 1)**2*(j + 1)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 299052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -3, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 plus -0.46?\nAnswer: 41.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/27?  (a) 0.17  (b) 1\/3  (c) 2\/5397\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*((-288)\/(-32))\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.5?  (a) -13  (b) -0.0162  (c) -0.4  (d) 5  (e) -5  (f) -2\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145 = -134*m + 204*m + 985 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/7 and 39\/44639.\nAnswer: 44639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the second derivative of -117*s**3\/2 - 3*s**2\/2 - 2*s. Let p be q(-2). Let v = p + -179. Round v to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 840, 1660, 2454, 3210, 3916, 4560?\n\"Answer: -2*s**3 - s**2 + 837*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**5 + 909010*b**3 + 2*b - 540462?\nAnswer: 40*b**3 + 5454060*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of 5\/27*v**3 + 0 - 1\/540*v**6 + 7\/270*v**5 - 55*v**2 + 0*v - 11\/108*v**4. Determine c so that u(c) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 241*u - 236*u - 270333, 5*u = 5*t + 270305. List the prime factors of u.\nAnswer: 2, 7, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-4)*22\/(-572)*2?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(15\/110*(-6)\/(-117)). Suppose 7*g = -r + 143. Suppose 5 = o - 4*n, o + 4 = -o + n. Put o, g, 1 in ascending order.\nAnswer: o, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10188431?\nAnswer: 11, 37, 25033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1837 and 10112685.\nAnswer: 10112685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 91566\nAnswer: 183132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of -n**2 - 5*n + 89. Let q(b) = -2650*b + 5290*b - 2646*b - 1 - 14. Give 7*d(i) - 2*q(i).\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -0.06  (b) -7  (c) -0.5  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46841?\nAnswer: 31, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/(10 - 2) - -1)*-3. Which is smaller: t or -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of u**2*v**5 - 214996*u**2*v**3 - u**2*v - 137195*u*v**2 wrt v.\nAnswer: 60*u**2*v**2 - 1289976*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -154 + 54. Suppose 0 = 2*m + 148 + 62. Let t = v - m. Solve i = t*i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 8 = -2*a, w = -4*w. Suppose -4*v + a*z - 415 - 77 = 0, 10 = 5*z. Let n = -55 - v. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 437 (base 12) to base 8.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + sqrt(833) + 5)**2 - sqrt(833)) + -5 + (0 + sqrt(833))**2 - (5 + (sqrt(833) + (-2*(sqrt(833) + 3))**2 - sqrt(833))*3).\nAnswer: -8444 - 483*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -145, -289, -431, -571, -709?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eqsxtpxp. Give prob of picking 1 e, 1 x, 1 q, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -10. Solve 21 = -z*u + 1, -q + 30 = -5*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -41, -68, -95, -122, -149, -176?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*d**3 - 3 + 2*d**2 - 1)*(-4*d**2 + 0*d**2 + 9*d**2).\nAnswer: -10*d**5 + 10*d**4 - 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 51934 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(6*-1*sqrt(88) + sqrt(88))*-6)\/((sqrt(80) - 2*-2*sqrt(80))\/(sqrt(490) - (sqrt(490) + (sqrt(490) - 1*sqrt(490)) + sqrt(490)))).\nAnswer: 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - 4*v + 5*v + (-2 + 2 - 1)*(-3*v + 2*v - v) - 15*v + 39*v - 14*v)*(2 + 2*v - 2).\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0826 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/4 - 3\/6. Let y = -1 - s. Let z(o) = 0*o**2 - 2*o + y*o**2 + 2 + o**3 + o + 4*o. Calculate z(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38.7 - 583.3. Let r = w - -622.00837. Round r to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in -9, 14, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (-6 - -9))*(48 + (4\/(-4) - -11))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 167867163 a multiple of 6728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22774687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -53 divided by 4?\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3910 or -2106697\/539?\nAnswer: -3910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 7, 49, 121, 223, 355?\n\"Answer: 15*r**2 - 3*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -3*f**2. Let l(w) be the first derivative of -6*w**3 + 7. Calculate l(a(o)).\nAnswer: -162*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 1)*(48*i - 194*i - 25*i)*(-2 + 0 + 1).\nAnswer: -171*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -13 (base 11) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11543212.9554097 + -8949143.85541165. Let o = p + -2594069. Let g = -0.1 + o. What is g rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -9*a. Let w(j) = 684*j - 171. Calculate w(k(g)).\nAnswer: -6156*g - 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 54564 or -102?\nAnswer: 54564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-8))\/(36\/32)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -54 + 111. Let w = y + -5. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82014631 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -i**3 + 0*i - 2*i + 12 - i**2 + 4*i - 4*i - 7 to the form l*i + c*i**3 + t + f*i**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, 1, 70, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes before 6:37 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1739490*a**3 - 375759*a - 1 wrt a.\nAnswer: -10436940*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(108) - sqrt(108))*2)\/(sqrt(144)*-2 + sqrt(144)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13174?\nAnswer: 2, 7, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 642 is divided by 199?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -1509 - 3128. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 71.11413472 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -234b4 - -4e9?\nAnswer: -22fcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -j**7\/21 + 17*j**6\/90 + 33*j**5\/20 + 22*j**4\/9 + 2*j**3\/3 - 2085*j. Suppose o(g) = 0. What is g?\nAnswer: -2, -1, -1\/6, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -60820200 to the nearest one million.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 58 = 5*c, -w = -3132*c + 3131*c - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 10 + 14 = 0. Is s >= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 n, 1 f, and 1 j when four letters picked without replacement from njvqfjjnanavvf?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 1. Let k(m) = 2*m**2 - 3*m + 1. Let w be k(2). Let q(n) = 2*n**2 - 1. Let s(p) = w*d(p) - 4*q(p). Determine s(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 11:19 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 5903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72 and 648.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-72*z - 746*z + 155*z)*(4*z**3 - 3*z**3 - 2*z**3)*(-3 + 2 + 3).\nAnswer: 1326*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 12.22, 1, 3, 14, -0.4, 0.1, 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = c + 29, 0 = -0*c + c - 3*t - 3. Let w be (-4)\/(-1 - ((-48)\/c - 5)). Solve v + w*v = 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1004 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1286 - 88*j**2 + 6*j**3 + 1286 - 3854 - 964*j + 1282 wrt j?\nAnswer: 36*j - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2628921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v - 2. Let z(r) = -18*r - 33. Let t(s) = 33*l(s) - 2*z(s). Let f(p) = 2*p**2. Give t(f(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 27*w**2 - 26*w - 1. Let g be f(28). Suppose -22*y = -33*y - g. Let d = 3 - 4. Which is the nearest to d?  (a) 1\/4  (b) 2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1131 and 261.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 8 + (3 - ((-2 - -2) + 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = -i + 1, -5*i = k + 38 - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of n + 0 - 1\/2*n**3 + 7\/2*n**2. Is j(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**3 + 15*s**2 - 38*s - 33. Let z be t(-17). Suppose -z*o + 14*o = -84. Solve -3*d - 3 = 5*j - 2*j, -o*j = -3*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u**4\/5 + 43*u**3\/5 - 58*u**2\/5 - 984*u\/5 = 0. What is u?\nAnswer: -4, 0, 6, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -2*a - 4. Let h(d) be the second derivative of d**3\/3 - d**2\/2 - 6*d. What is the remainder when f(-4) is divided by h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -121 - -14?\nAnswer: -10d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 10097, 10102, 10121, 10160, 10225, 10322, 10457?\n\"Answer: b**3 + b**2 - 5*b + 10100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 2:27 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (212\/8)\/(135\/180*14\/(-21))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 + 15*z - 26. Let u be i(2). Solve -v = -5*v + 5*n + 35, -4*v - 4*n = -u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of 2*q**6\/3 - 25*q**4\/12 + 131*q**3\/3 + 83*q - 14. Find the second derivative of b(d) wrt d.\nAnswer: 240*d**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526276 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, u: 3, p: 1, c: 1, m: 9, b: 2}. Give prob of picking 1 m and 1 k.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 558134 is divided by 186041?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -0.3, 42777, -1\/5, -2\/23, -1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8248631.3 * 2.\nAnswer: -16497262.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h - 3*a + 27 = -15*h, -2*h + 4*a = 22. Let x(p) = -2 - 3*p**2 + 2*p - 4*p**3 + 0*p + 0*p**2. What are the prime factors of x(h)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18319677 is divided by 461.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 75 - 48?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 351\/11 + -32. Let x = 34 + -24. Suppose 6*t = x*t. Which is bigger: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, y: 3, c: 5}. Give prob of sequence yry.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -3. Let v = h + -3. Let i be 0 + 0 - 1*2. Which is bigger: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -364*i**3 - i**2. Suppose -b + 4*k + 1 = 4*b, 0 = -3*k + 3. Let p be q(b). Let s = p - -844. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 68 and 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/240 and -11\/540.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 390, 8*p + 286 = -3*j + 3*p - 107 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*j + 1154*j - 184*j = -9225 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y. Let d(x) = 10*x**2 - 4*x. Determine n(d(q)).\nAnswer: -30*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 89450.66l in millilitres?\nAnswer: 89450660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 856475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to -603\/38305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 146 = -2522*f + 2524*f. Calculate the remainder when 2626 is divided by f.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 7:58 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -3*l + 2. Let i(h) = 4*h - 3. Let m(c) = -4*i(c) - 5*k(c). What is the first derivative of m(t) wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-208)\/26 - 148\/(-18). Let y = -3.4 + 5.1. Let w = 2 - y. Sort o, w, 5.\nAnswer: o, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 234 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 - -2. Let g(r) = r**3 + r. Let k(c) be the first derivative of -c**2\/2 - 81. What is x*g(b) + 2*k(b)?\nAnswer: b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 284.72 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -235*p**2 + 439 - 911 - 44*p**2 - 848 wrt p.\nAnswer: -558*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-56)\/13)\/(158\/(-1027)). Solve 1510*m = 1517*m - p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k - 9. Let i be f(-9). Let p = i + 0. Let c = -5 + 8. Solve p*m = -c*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 5*z = -6604, 0 = -5*o - 59*z + 57*z + 32882. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 11 + 51 = 0 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8 - (-3)\/(-6)*-10)*-2. What is the derivative of 607*y**2 - d + 52 - 616*y**2 - y wrt y?\nAnswer: -18*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s + 17. Let h(j) = -2*j. Let c be h(0). Let t be i(c). Suppose -t*z + 15 = -12*z. Sort -2\/11, z, -4 in decreasing order.\nAnswer: z, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 219 - 134. Is (h\/10 - 0)\/(1\/2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 + 10*p + 24. Let o be s(-6). Let q = o - -5. Suppose q*z - 2*z = 294. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jyessjysssjsssysjjys. What is prob of picking 1 j and 3 s?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1703248 or 1703246?\nAnswer: 1703248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-84)\/(-8)*(-12)\/21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 46.70242 litres?\nAnswer: 46702.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence axa when three letters picked without replacement from {j: 1, x: 1, a: 6, s: 1, f: 3, w: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 14820277 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 54, 5, -176, -561, -1222, -2231, -3660, -5581?\n\"Answer: -12*g**3 + 6*g**2 + 17*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 9*q - 11. Let z be f(-5). Suppose -5*i = 2*j - 25 - 15, 4*i = 3*j + z. Suppose u = i*u + 10, -h = -4*u - 29. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*q - 690 = -226. What is the greatest common factor of q and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 11.7, 1\/4?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38270589 and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 13993*n**2 + 31*n + 77. Is m(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 914*c**2*w**3 + 210*c**2*w**2 + 558560*w**3 wrt c.\nAnswer: 1828*c*w**3 + 420*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - 2) + 10571\/1364?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -870*l**3 + l**2 + 2*l. Suppose -12*o + 6*o = 6. Let u be a(o). Suppose 0 = -4*s + 5*s - u. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12379142821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 208 and 4390132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i**(-3\/5)*i*i))\/(i*i\/(i*i**(1\/4))))\/((i\/(((i**(1\/2)*i*i)\/i)\/i))\/i**1) assuming i is positive.\nAnswer: i**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 3 = h. Let z(l) = 3*l - 1. List the prime factors of z(h).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a + 17. Let j be x(-13). Suppose 4*y = -3*z + 5*y + 39, j*z = -y + 52. Suppose 2*v = -v + 108. Calculate the remainder when v is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46418376931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -305a3b9?\nAnswer: 305a3b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 38400 by 30.\nAnswer: 1280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of -i**4\/12 - 5*i**3\/3 + 3*i**2\/2 - i. Is a(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48216 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 + 6*p - 6. Suppose 6 = -2*f + 3*s, 3*f + 0*s = -s + 13. Suppose -5*h + 6*j = 7*j - 28, -2*h + 19 = f*j. What is w(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21784225 divided by -5\nAnswer: 4356845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 127*f**3 - 243*f**3 + 128*f**3 + 3*f**4 - 38*f**2 + 6 + 6*f**4 wrt f?\nAnswer: 216*f + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 times 123044\nAnswer: -738264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007084 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 2*j + x, -x + 7 = 5*j. Let o be (1 - -5)\/2*-1. Which is the closest to o?  (a) -5  (b) 0.1  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 45\/4 of a kilometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3341631 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2462.5527 - -125.67.\nAnswer: -2336.8827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 23576976 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2520 = -31*y - 5*y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-3))\/(1\/15). What is the units digit of (-1 - (w\/(-12) - 2))*-159?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 1\/10, 2, -1\/4, -3\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1536 and 1152.\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1083, -368, 1729, 5898, 12829, 23212, 37737?\n\"Answer: 115*j**3 + j**2 - 93*j - 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ememmmue. Give prob of sequence euem.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13071322 and 20.\nAnswer: 130713220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0352238 - -2.\nAnswer: 1.9647762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**3 - 2*i**3 + 7*i**3 + (-2 + 2*i**2 - i**2 + 1)*(-i + 3*i - i) in the form g + p*i**2 + b*i + o*i**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/54 and 59\/33.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 3*b + 12 = 0, -l + 5*b + 196 - 92 = -0*l + 90 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152 = -5*j + 443. Suppose -3*y - 5*d = -j, 5*d = -4*y + 2*y + 86. Suppose 5*i - 2*i = y. Calculate the remainder when 21 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-312)*-4*4\/6\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -3*k**2 - 1. Let v = -6 + 12. Suppose q - v*q = 0. Suppose -5*c - 13 = -4*j, -4*c - j - 2 + q = 0. Calculate y(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 1572*u + 3. Let l(h) = -2*h**2. What is l(q(f))?\nAnswer: -4942368*f**2 - 18864*f - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 92*d - 1103 = -93*d, -5*d = -l + 179. Calculate the least common multiple of 1\/3 - (-26)\/3 and l.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -460 + -485. Let b be (-1)\/(-2)*-1 - u\/1953. Which is bigger: -0.2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 22 - -1420?\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/(-1))\/(2\/(-16)). Let w = -35 - n. What is w rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - 2)\/((-2)\/(-92)). Suppose -313*p + 287*p = -5018. Let z = p + t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1618480 is divided by 1466?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 104 and 19864.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -195 divided by -65\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3 or -7.43452?\nAnswer: -7.43452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**2. Suppose 3 = -0*t + 3*t. Suppose 0 = 2*v - 3 - t. Let p(n) = 2*n + v - 2 - 4*n. What is u(p(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/1248 and -41\/13728.\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2164050 and 1050?\nAnswer: 2164050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 8 and -29312354514874.\nAnswer: -29312354514866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 1596*h**3 - 1087*h**2 - 4. Let c(a) = -11172*a**3 + 7607*a**2 + 30. Let i(d) = 2*c(d) + 15*p(d). Find the third derivative of i(v) wrt v.\nAnswer: 9576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33 + 41. Suppose 0 = 4*j - o, 9*g + 3*j + 349 = 4*g. Let r = g - -171. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*p - 2*p + 638. Let i(a) = 37*a - 267. Let g be 12\/(((-4)\/(-8) + -2)*-1). Let n be i(g). Calculate the highest common divisor of p and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 536606600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 2*o + 73 = f, 5*o - 3*f + 185 = 0. Let l = o + 38. Let u(k) = -2*k + 5. Determine u(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 2:19 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 247 - -1569. What are the prime factors of h?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58262112?\nAnswer: 2, 3, 67433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*c**2*n**2*z + 25057*c**2*n*z + 2*c**2*n + c*n**2*z - 6*c*n**2 - 2*c*n*z + 2*c*n + 1213*n**2*z - 17 wrt c?\nAnswer: 10*n**2*z + 50114*n*z + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 + 9*d + 4. Let u be g(-8). What is the tens digit of -7*(u - 2) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16172 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2138209 times -18\nAnswer: 38487762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1408365)\/(-10710) - (1 - 18\/12)?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 108, 4, 846, 6.7.\nAnswer: 4, 6.7, 108, 846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, -138, -3473, 1 in decreasing order.\nAnswer: 26, 1, -138, -3473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express q**4 + 0 + q**3 - q + q**3 - 3*q**3 - 1 in the form z + l*q**3 + w*q**2 + t*q + p*q**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ikhhi. Give prob of picking 2 i, 1 k, and 1 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*l + 39156 = 647*l + 523*l for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26243680 divided by -32.\nAnswer: 820115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*b - 6*b + 24*b - 7*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 10*m = 0. Let w be (0 + -1)*(-5 + 3). Sort m, -2, w.\nAnswer: -2, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32\/31 - 97\/124. Which is the nearest to 1?  (a) d  (b) 38  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 740 - 670. Suppose -5*m = 2*n - 79, -14*m = -9*m + 5*n - q. Solve 19*r - m*r - 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 4 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*o - 16*o = -9. Let s be o\/(-2)*(-2952)\/(-27). Suppose k = -k + s. What are the prime factors of k?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 - 164 - (194 - 219)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2898 and 116634.\nAnswer: 8047746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -5*p + 12, 3*p - 2*p - 12 = 3*j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-1)\/(-3))\/(14\/(-2823177)*(-43)\/86) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 110*(51\/14 - (-17)\/(-119)). What is the greatest common factor of 77 and y?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 38, -31, -204, -535, -1078, -1887?\n\"Answer: -9*u**3 + 2*u**2 - 12*u + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 62 - ((-12 - -4) + 5) - (23 - 11)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 108760875777 + 1.8\nAnswer: 108760875778.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -160 + 162. Let v = 822\/65 - 64\/5. Sort v, -0.4, u in descending order.\nAnswer: u, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*n + n + 8*n**3 + 5*n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1228 + 1204. Which is the second biggest value?  (a) -4  (b) 1\/3  (c) v  (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7456*i**4 + 101*i - 1520338.\nAnswer: -29824*i**3 + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 18\/(-15) - -1 - (-78)\/15. Let o = 2 + -2. Suppose o = q*i + 2 - 22. Solve -j - i*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 737\/7 - 105. Let f = 49 + -48.869. Let v = f - 0.031. Is p smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 5:48 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {j: 3, n: 5, q: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 + 2 - -31) + (9 + 6 - 21)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 + 1 = -5*n. Let k = n + -6. Solve k = -3*y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-24) - (-13)\/4. Suppose -4*o = -2*n - 40, -o + 12 = o + j*n. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/(-336)*-35)\/((-2)\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2851159.\nAnswer: 19, 150061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 + 15*v**2 - 9*v - 70. Let j be q(14). Solve j*s = -4*s, 4 = -2*x - 2*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 59073*q**3 - 5300*q wrt q.\nAnswer: 354438*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -846*r**3 - 109*r + 64*r + 854*r**3 + 45*r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27570, 27556, 27534, 27498, 27442, 27360?\nAnswer: 27246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -770*d + 948*d = 1246 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, l: 2, i: 12}. What is prob of picking 1 l and 1 i?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s - 54 = 3*s. Let r(w) = -w**2 + 14*w - 52. Let o be r(s). Is 59 + 3 + (o - -2) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*q - 2*l - 656 + 651, -3*q - 3 = -3*l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 69\/15 - 4 - 4314\/(-10). Let l(b) = -432 + y + 12*b. Let d(h) = -h. Calculate l(d(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -13*h - 13 - 9*h - 7. Let l be r(-7). Let s = -90 + l. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 24 + 4 + -5 + 2. Let l = 28 - r. Let t be (-15)\/10*2\/l. Which is greater: 1\/81 or t?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 + 11 = 3*s. Let q = s - -6. Solve q = -0*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 4938?\nAnswer: 9876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/5 <= -2977942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 103950664 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/5 - 44\/110?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -56361\/8 + 7045. Let i be 4 + -2 - (68\/16 + -3). What is the smallest value in s, i, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.43 + -3.83. Which is the closest to v?  (a) 5  (b) 1\/5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 153 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4946485681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/23430 and -23\/37488?\nAnswer: 187440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -372 - -156. Let m = 216.000752 + o. Round m to five dps.\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 58*j**2 + 25*j + 30*j - 55*j. Let s(a) = -a. Give s(d(i)).\nAnswer: -58*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -92835*m - 88 + 185666*m - 92838*m - m**2 to the form v*m + a*m**2 + p and give p.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 75869 - 75869. Let q = 0.1 + 0. Let t = q + -0.3. Sort t, l, -4, 3.\nAnswer: -4, t, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of z**6\/45 + z**5\/10 + z**4\/9 + 5*z. Solve u(l) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 759?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -3*u - 4. Suppose -4*f + u = -2*f. Find j such that -11*j**f + 3*j**2 + 16*j - 4*j**2 + 15 + 1 = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-6) - 34\/(-6). Let g(c) = 4*c**2 + 13*c. Let w(x) = 831 - 831 + x. Let q(t) = p*w(t) - g(t). Find the second derivative of q(a) wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59090.34 hours to nanoseconds.\nAnswer: 212725224000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)\/(sqrt(32) + sqrt(192)\/sqrt(6)))**2.\nAnswer: 5\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000009662887 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 39885 divided by 5\nAnswer: 7977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-2\/19)*x)\/x**(-7))\/(x*x\/(x**(-1)\/x*x)*x*x**(-1\/8)) assuming x is positive.\nAnswer: x**(611\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, u: 3}. Give prob of picking 3 u and 1 x.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -80485, -80474, -80463?\nAnswer: -80452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -3  (c) 23  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -3*z**3 - 32*z**2 - 13*z + 70. Let o be s(-10). Which is bigger: o or -3.115?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 - 5*y**2 + 5*y - 1. Let n = -11 + 6. Let r be -1 - n - 0\/(-1). What is s(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 2*d = 75. Let k = d + 54. Let y be 9\/(-7) - 6\/k. Are 1\/4 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 6 - 3. Let y be ((-2)\/2)\/(q\/3). Let x be -2 - (-1 + 0) - -1. Which is the closest to x?  (a) -5  (b) y  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 1:48 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 852*h - 1696*h + 844*h + 348*h**3.\nAnswer: 348*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 14*v**2 - 2*v - 1. Suppose 20 = -3*u + u. Let x = 9 + u. Calculate o(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/19, 3\/4, -365.97 in ascending order.\nAnswer: -365.97, 1\/19, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c**2 - 1264*c + 52334. Give y(39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80 and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -493.9 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -1\/3*s**3 - 2\/3*s**2 + 0*s + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**2 - 796*z + 55874 = 0. What is z?\nAnswer: 91, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-682)\/77)\/31 - (-2 - 28669\/(-35)). Which is smaller: m or -816?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + (sqrt(11) - 1*sqrt(704))**2 - (sqrt(11) - (sqrt(11)*1 + 5))**2 - (sqrt(33)\/(sqrt(3)*-1) + -2*sqrt(22)\/sqrt(2)).\nAnswer: 4*sqrt(11) + 514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 1825 = -6*l. Suppose -4*h + 65 = l. What are the prime factors of 45\/h - (-18)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b**6*b*b*(b\/(b*b**(-21)))\/b)\/(b\/b**(1\/10)*b**(-4)))**(-50) assuming b is positive.\nAnswer: b**(-1655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-18\/7)*x**(3\/2)*x**(-10\/3)\/(x\/x**(-36)) assuming x is positive.\nAnswer: x**(-1739\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**3\/3 - 605*a**2 + 3626*a\/3 = 0.\nAnswer: 0, 2, 1813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 93813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than -28395930.434102?\nAnswer: -28395926.434102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 79527?\nAnswer: 4\/79527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 2*i**2 - 3*i. Let a be y(-3). Let o = 1\/55 - 12\/55. Is o > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.2 - -1.7. Sort -5, s, -1\/4 in descending order.\nAnswer: -1\/4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2278461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 968547.\nAnswer: 3, 322849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 149\/(13\/((-6929)\/(-13))). What is the highest common factor of 149 and i?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 12714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 17*c + 0 - 4.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -723978\/35 or -20684?\nAnswer: -20684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -3*u**2 + 34*u + 36. Let r be c(12). Solve 22 = 5*n + r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/10*-1*4\/66.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 65*i**2 - 17*i - 36. Let q be m(-9). Let j be -2*1\/10 - q\/15. Round j to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 2*l**3 + 3*l**2 + 2*l + 6. What is d(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29 + 44*b**2 + 29)*((0*b + 6*b - 5*b)*(-4*b**2 + 43*b**2 - 15*b**2) - 3*b - 3*b**3 - b**3 + 2*b**3).\nAnswer: 968*b**5 - 132*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 2*d**2 + 70*d + 516. Give r(-22).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 n, and 1 d when three letters picked without replacement from {d: 1, m: 2, n: 4, l: 3, k: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (3\/((-243)\/9)*3)\/((-3)\/(-486))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that b**4\/7 + 209*b**3\/7 + 5981*b**2\/7 + 5359*b\/7 - 1650 = 0.\nAnswer: -175, -33, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -164, -149, -122, -77, -8?\n\"Answer: i**3 + 8*i - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 965750 and 1750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 0 + 2)*(-4*v - 3*v + 0*v) - 11*v + 5*v + 4*v)*(0 + 0 + 3) to the form s*v + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 15\/8038574 and 15.\nAnswer: 8038574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14191*b = 2*u - 14317*b - 52, -5*u + 130 = 4*b for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 100120?\nAnswer: 100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -2, -o - 8*m + 10*m = -6. Determine t, given that o*t**2 - 24 - 6*t + 24 - 8*t - 8*t = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 124435423 + 1?\nAnswer: 124435424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37.7 + -38. Suppose 2*l + 224 - 217 = -j, 2*l = 3*j - 11. What is the smallest value in p, -29, l?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 14. Let t = b + -20. Is t less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -350, -2823, -9526, -22571, -44070?\nAnswer: -76135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -181*w + 113505 = -158*w. List the prime factors of w.\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -23*h**3 - 6*h**2 - 154*h + 1. Let n(f) = 63*f**3 + 18*f**2 + 462*f - 3. Calculate -11*j(v) - 4*n(v).\nAnswer: v**3 - 6*v**2 - 154*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55 - -37. Let f(g) = -4 + 5 - 2 - 6 - g. What are the prime factors of f(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.5  (b) 795  (c) 0.5  (d) -4  (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 633 + -4429\/7. Let g = 0.06 - -9.94. Let v = -14 + g. What is the nearest to s in -5\/2, v, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3\/50 - 63\/200. What is the third biggest value in 0.3, 1\/10, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**2 - 4*z - 1. Let d be s(3). Suppose -2*b = 4*w - 22, -d*w = 5*b - b - 44. Let m = -49 + 54. Solve 9 + b = -m*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1808259 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) - 1*sqrt(66))\/sqrt(6) + -4 + 3)*3 - (-3 + ((sqrt(11) + 1 + sqrt(11) - sqrt(11)) + 4 - sqrt(11) - 5*sqrt(88)\/sqrt(8))).\nAnswer: -5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 55 + -53. Which is the nearest to -4?  (a) 1  (b) m  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -11022.2 and 610 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 8449 = 3*t - 8427, 2*t = -5*p - 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1405 and 35.\nAnswer: 9835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*g - 179 + 361 - 182.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (20878\/(-1562))\/13?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2640544537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200)\/sqrt(4))\/sqrt(10) + -2*sqrt(80) + (-3*sqrt(5)*2 - (sqrt(5) + (sqrt(35)*-1)\/sqrt(7))))**2.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.078  (b) 10  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 446 - 446. Calculate the common denominator of 22\/99*(20 + q) and 83\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173*r - a = 178*r + 12, -4*a = -5*r - 27 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.1 - 646213.\nAnswer: -646214.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**3 + 4*p**2 + 8*p - 18. Let y be a(5). Let r(b) = -204*b - 1. Is r(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3676960 (base 10) to base 9.\nAnswer: 6823751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 170\/11?\nAnswer: 170\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21 by -6110.\nAnswer: 21\/6110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-0.52.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -2*((sqrt(143) - ((-2*sqrt(143) + sqrt(143))*-6 - sqrt(143)))\/(sqrt(77)\/(sqrt(14)\/sqrt(2))) + -3).\nAnswer: 1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -4. Let u be t - (-3)\/(9\/(-6)). Suppose u*r = r + 3. Solve -8 = -r*z + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 != 2\/1353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -100599*m**2 - 16*m - 727?\nAnswer: -201198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -269603\/5 + 2316667\/45. Let u = z + 2445. Find the common denominator of u and 85\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)*1*-3 + (sqrt(76) - (6*sqrt(76) - sqrt(76)))*-6)\/(sqrt(160)\/(sqrt(10)*-1) - ((-2*sqrt(112) - sqrt(112))\/sqrt(7) + sqrt(16))).\nAnswer: 21*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 91523691 to the nearest integer?\nAnswer: 9567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (28*r + 52*r + 102*r)*(2 - 2 + 1) - 3 - 5*r - r + 5*r + r + 4*r - 4*r in the form z + b*r and give b.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 498763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(144)*1 + sqrt(144))*6)\/((-4*sqrt(360))\/(-2*sqrt(405) + sqrt(405))))**2.\nAnswer: 6561\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 + 6 + 14)*(-2*k - 4 + 4) - 3 - k + 3 + (0*k + k + k)*(0 + 3 - 5) + 0*k + k - 3*k to the form r + s*k and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**2 + 10*m - 12. Let t be d(8). Let q = t - 0. Let x = 9 - 9. Solve i - 3*p + 12 = x, p = -0*i + 4*i + q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - f - f + 1201 = 0, 4*j = f + 953. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -2\/25, 24, -2\/15 in increasing order.\nAnswer: -1\/2, -2\/15, -2\/25, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 145439 and 231440?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q**2 - 7*q**2 - 120*q**3 - 146*q**3 + 376*q**3 - 187*q**3.\nAnswer: -77*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3775 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2199 or -2201\/3?\nAnswer: -2199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110110101010 + 110001110001?\nAnswer: 11101000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2020, -4428, -6838, -9250, -11664, -14080, -16498?\nAnswer: -18918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i**2 + 10*i**2 - 6*i**2 + (0*i**2 + 3*i**2 - 2*i**2)*(0 + 3 - 4) + i**2 + i**2 - 3*i**2 - 2*i**2 - 2*i**2 - i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -148, 2\/199, -0.301, 4?\nAnswer: 2\/199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 377*z + 16 = 375*z, z - 20 = -5*f. Solve -2*r = -f*x + 20, 0 = -r - 2*r - 4*x + 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*c + 3327795 = -1995932 - 19954324. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 516*q - 36. List the prime factors of d(3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-186)\/22 + 8)*(-2)\/(-10). What is the nearest to -2 in -21, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2 and 10913160.\nAnswer: 10913159.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/15?  (a) 0.3  (b) -8  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -102 + -12212?\nAnswer: -20021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 11:02 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from eaaewrerrei.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 31 + -29. Solve -4*y = -w*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (15 + -16)\/((-33)\/(-2))*(-33)\/44?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-13)\/6 + 1*2. Suppose 2*m - 3*p + 0*p = -17, 4*m + 3*p = -7. Let v = 1200\/7 - 15586\/91. Which is the second smallest value?  (a) q  (b) v  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -3*n**2 + 6. Let z(p) = -p**2 + 1. Let g be (3 - 5)\/(1 - 3). Let s(y) = g*t(y) - 6*z(y). Let d(f) = -f**2. Give d(s(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = -9*y + 11. Let o(p) = 4*p - 3. Let m be o(-10). Let s = y - m. What is the highest common factor of s and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 258*c = 241*c + 306 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 4*d, -4*d - 15 = -3*u + 5. Let k = 6 - u. Solve -k*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 - 62. Let j = -32 - r. What is the smallest common multiple of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*w + 6*w = -221. Let m(s) = 4*s - 42. What is the lowest common multiple of m(w) and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51692724 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: Put -1\/2, 5, -51 in decreasing order.\nAnswer: 5, -1\/2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -1, -5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 PM and 1:06 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6350868 kilometers to micrometers.\nAnswer: 635086800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-56 - -146) + -33 - 72) + 1 + 91 + 0.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from {n: 2, o: 4, k: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, d: 2, j: 4}. What is prob of sequence mm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 12222810617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 4. Let n = -3 - 0. Sort o, n, 5 in ascending order.\nAnswer: n, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 33 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 63230 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 80845 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 132322435 (base 6) in base 15?\nAnswer: 372005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 24167*z**3 - 12631*z?\nAnswer: 145002*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 4*l - 4. Let q(s) = -s**2 + 5*s - 4. Let m be q(4). Suppose m = -13*v + 10*v - 12. What is k(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132*k**3 - 166*k**3 - 6*k + 6*k.\nAnswer: -298*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(448) - (sqrt(28) + -1)**2*3 - ((sqrt(567) + -4)**2 - (sqrt(1008) - (sqrt(1008) + 3))).\nAnswer: -673 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + (-11)\/(-4) - 6\/(-24). Suppose 3*u = -d*a - 132, -44 = u - a + 3*a. Let r = 42 + u. Sort 2, -5, -1, r in decreasing order.\nAnswer: 2, -1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.309892 rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 25 = -4*l, 2*j - 7*j - l - 25 = 0. Let q(d) = -d + 5. Calculate q(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + ((-27)\/(-18))\/((-1)\/(-2)). Suppose -a*o - 2*l = -o - 146, -l = 2. Calculate the highest common divisor of o and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47 + -39. Solve -p = -4*y - y - 13, 2*y - j = -4*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3565977 - 2115534 - 2308679 = -130*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2732052 and 228?\nAnswer: 51908988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f - 2. Suppose -30*t + 44 = -26*t. Let q = 16 - 11. Suppose p = -7*v + q*v - t, -4*v + 3*p = 27. Determine y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**2 - 7*c + 10. Let n be k(-8). Let s(v) = 22 - 22 + 4*v**2 - 3*v**n. Let x(j) = 16*j**2. Determine s(x(q)).\nAnswer: 256*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*s - 0*s, -5*w + 130 = 3*s. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 531701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.5, 7, 3, 45, -3, -1.7, 0.5 in descending order.\nAnswer: 45, 7, 3, 1.5, 0.5, -1.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84 = 3*s + s. Suppose -5*b + 595 = 30*b. Let i = b - s. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 411276528 divided by -4\nAnswer: -102819132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 85 + -83. Which is the second biggest value?  (a) -0.3  (b) -0.1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2050 divided by -82\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*h = -18*h - 76. Is 14 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -8*l**2 + 43*l - 12. Let n be b(5). Solve 14 = -n*s + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 19 = -21*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 2*k**2 + 4. Let p(v) = 1168*v**2. Calculate p(a(q)).\nAnswer: 4672*q**4 + 18688*q**2 + 18688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c + 5. Let x be p(5). Let l(m) be the third derivative of -1\/24*m**4 + 1\/120*m**6 - 2\/3*m**3 + 0 + 0*m - 1\/60*m**5 + 7*m**2. Calculate l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 536528874?\nAnswer: 2, 3, 7, 17, 487, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 - -1)\/(-4 + (-56)\/(-12)). Solve 0 = -a*f + 2*f + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-183576)\/(-38245)*-11*(-5)\/(-3).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -2, 1\/4, 141?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*s - 12*s - 3510 = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2914.9 - -2914.7. What is the nearest to -1 in -3, 4\/3, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -518*x**2 - 1076*x - 80 = 0. Calculate x.\nAnswer: -2, -20\/259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -3806221.584 to the nearest 1000.\nAnswer: -3806000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o - 4*v - 0*v + 14, -10 = -4*o + v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -2 - (3 + -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes after 10:54 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 - 105*o - 4024. Determine g(-30).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 2111408.\nAnswer: 10557040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3007545621*t**2 + 1503772816*t**2 + 1503772800*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 - -21. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 - -14. Let t = -194 - -202.1. Let g = j + t. Which is smaller: -0.3 or g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11178 - 2317. What are the prime factors of y?\nAnswer: 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*g - 59 + 8*g + 6*g.\nAnswer: -3*g - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r - 1. Let h be o(4). Let b = 18 - 17.9. What is the nearest to -2 in h, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*(x\/x**(-3\/5))\/x*x*x*x\/(x*x\/x**(-4\/3)*x) assuming x is positive.\nAnswer: x**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-22)\/(-198))\/((-2)\/6)*(-11 - -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1717955 at least as big as -1717956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of -21*b + 1\/40*b**5 + 0 + 1\/24*b**4 - 1\/12*b**3 - 1\/4*b**2. Let f(l) = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**5\/3 - 4*d**4 - 58*d**3\/3 + 4*d**2 + 200*d\/3 + 48 = 0.\nAnswer: -2, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 52773972, 105547942, 158321912, 211095882?\n\"Answer: 52773970*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 - 14*f**2 + 3*f - 40. Let a be 70\/21*6 - 6. Let d be u(a). Solve -d*s + 20 = -0*s - 2*b, -s - 4*b = 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -p + 9. Suppose -26 = -p*z + z. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -25*c**3 - 900*c**2 + 47*c + 1667. Determine l(-36).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 215223.\nAnswer: 3, 71741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of 5*m**6\/8 + 89*m**5\/4 + 273*m**4 + 882*m**3 + 9*m**2 - 103. Factor p(q).\nAnswer: 3*(q + 1)*(5*q + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y\/(y*y**20)*y*(y*y**(-43))\/y*y\/(y*(y\/(y*y*(y*y\/(y\/y**(-16))*y)\/y))\/y)*y*y\/(y**(11\/9)*y*y) assuming y is positive.\nAnswer: y**(-677\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 610580 and 2020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -4. Let p be (y + 12)*8\/(-16). Is 1 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 84010 and 54200.\nAnswer: 1680200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/(g\/(g**0\/g)))\/g)**(-1\/27)\/(g**(-2\/5))**(-4\/11))\/((g**(-1))**(1\/52)\/((g*g**(-6)*g)\/(g\/g**(-4\/9)))) assuming g is positive.\nAnswer: g**(-424447\/77220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 2*l + 60. Let j = 74 - 45. Calculate the remainder when j is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6240 (base 7) in base 11?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**2 + 9*t**2 - 23*t**2 - 2*t**2 + 0*t**2 + t**2 + (-5*t + 3*t + 4*t)*(t + 3*t - 2*t) + 2 - 2 + 2*t**2.\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42 (base 5) to base 12.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 2*t - 54, 18 = -3*x - t - 14. Suppose 4*h = h + 9. Which is the nearest to 2?  (a) -3\/2  (b) h  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p + p**2 + 3*p - 2 - 2*p**2. Let k = 65 - 21. Let u = k - 42. What is a(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*p + 5 = 53 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of j**3\/6 - 7*j**2 + j - 7176. Let q(h) = h**2 + 7*h - 2. Let o be q(-8). What is g(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - 9*t**2 - 2*t - 7. Let i be m(-9). Let y = i - 1. Suppose -3*g = 3*s - 24, 5 = s + 2*g - 5. Solve -p + s*p = y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3551 - 3493. Calculate the lowest common multiple of 29 and z.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 79311?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z*(z*z**2)\/z*z)*z))**(1\/34)\/(z**(-4)\/z*z**(2\/27)\/z) assuming z is positive.\nAnswer: z**(5521\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.5  (b) -3\/14  (c) 2\/9  (d) -2\/27  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 62 = -2*r + 71, r - 560 = -4*n. List the prime factors of n.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*k - 256 = -14*k. Let b = k + 125. Let v(i) = -i**3 - 4*i**2 - 6*i - 1. Let a(z) = -z. Let q(j) = -2*a(j) + v(j). Calculate q(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*c - 123 = -10*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 + 24. Suppose -3*a + 8*a - 10 = 0. Suppose d = l + a. Is l greater than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-4) - (35\/(-10) + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19962089311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 112247.63239.\nAnswer: -112249.63239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 149.918 and -0.084.\nAnswer: 149.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2069661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 - h + 1. Let d = 0 + 2. Suppose d*u - 3 = -1. Let l(i) = 7*i**2 - 5*i + 5. Let o(k) = u*l(k) - 5*v(k). Factor o(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8370 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-9)\/18*285\/(-10). Let q = v - 733\/52. Find z such that 2\/13*z**3 + 2\/13*z**4 - q*z**2 - 2\/13*z + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -2*d**2\/21 - 170*d\/21 - 1100\/7 = 0.\nAnswer: -55, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 9 + (-2 - (5 - (-7 - -11))) - (-10 - 1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from {m: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/14 - (-132)\/77. Solve 3*j - 15 - 5 = -g*y, y = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 2 g, and 1 o when four letters picked without replacement from {d: 1, g: 3, o: 1}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + p + 9 = -0*f, 5*p = -4*f - 35. Let a(c) be the third derivative of c**6\/120 + 3*c**5\/20 - 11*c**4\/24 - 5*c**3\/2 + 174*c**2 - 2*c. Determine a(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 426\/43, -2, 0.3, 0, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*b - 25 = -10*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the third derivative of -5*p**4\/12 + 59*p**3\/6 - 46*p**2. Let s be h(6). Is (4\/16 + 2010\/(-8))*s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 5, 66, 3, 2 in decreasing order.\nAnswer: 66, 5, 3, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 470*p - 344?\nAnswer: 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-5))\/((-147)\/210).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c and 1 j when three letters picked without replacement from {w: 1, v: 1, h: 1, j: 5, c: 4, d: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 836643390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -81 - -73. What are the prime factors of 10812\/18 + c - (-5)\/(-3)?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 34\/30023 and 46\/11.\nAnswer: 330253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -o**7\/1260 - o**6\/270 - o**3\/2 - 2*o. Let q(i) be the second derivative of f(i). Find j such that q(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10100110000000101110 (base 2) in base 12?\nAnswer: -289612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 1:56 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-4)*8\/14. Let u = 3 + -2. Let t = -0.6 + u. What is the second smallest value in l, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -708, -659, -582, -483, -368, -243, -114, 13?\n\"Answer: -j**3 + 20*j**2 - 4*j - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 888514760 to the nearest integer?\nAnswer: 29808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -5*q - 4*a + 150, -q - 2*a + 30 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -1) + 0 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*g**4 - 3*g + 3*g + 2*g**5 + (-18*g + 18*g - 11*g**3 + 4*g**3 - 3*g**3 + 0*g**3 + (3*g + 3*g - 5*g)*(4*g - 2*g**2 - 4*g))*(-184*g + 33*g**2 + 184*g).\nAnswer: -394*g**5 - 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -92998807*v**3 + 3*v + 6076040 wrt v.\nAnswer: -557992842*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 - 5*f - 5. Let r be (-69)\/(-4) - (-9)\/(-36). Suppose -4 = -4*m, -2*j - 5*m = -r + 2. Let g be x(j). Sort g, -1\/3, -2 in ascending order.\nAnswer: g, -2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*f - 6*f - 2021 = 0, 687 = y + 2*f. What are the prime factors of y?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 17862.15707 and 0?\nAnswer: 17862.15707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 3*g**5 + 40*g**4 + 33*g**3 - 13*g**2 - 43*g - 27. Let z(l) = l**5 + 20*l**4 + 16*l**3 - 6*l**2 - 21*l - 14. Let k(j) = -4*n(j) + 7*z(j). Factor k(x).\nAnswer: -5*(x - 1)*(x + 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - 8) + -4 + 2 + 7 + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-20))\/((-22)\/176).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8\/11?  (a) -0.4  (b) -0.5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(833) + 5 + (3 + sqrt(34)\/sqrt(2) - sqrt(204)\/(sqrt(48)\/sqrt(4))).\nAnswer: -14*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1539 and 38133.\nAnswer: 343197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 20*p**3 - 16*p**2 - 2*p. Let f(u) = -30*u**3 + 23*u**2 + 3*u. What is -8*b(v) - 5*f(v)?\nAnswer: -10*v**3 + 13*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, m: 2, a: 2, r: 1}. What is prob of sequence am?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 6) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -982471220 by -98247122.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + l = 0. Suppose 2*s = -l + 8. Solve -28 = -s*x - 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-98*d + 689 - 689)*(d + d - 6*d) as r + c*d + y*d**2 and give y.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*k**2 - 5*k**2 + 8*k**2 + 2*k**2 + 3*k**2 + 0*k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of m**6\/120 - 4*m**5\/15 - 2*m**4\/3 - 7*m**3\/6 + m**2 - 1222*m. Calculate q(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 15\/(-35) - (0 - (-3)\/(-7)). What is the biggest value in -5, b, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3947794 is divided by 56397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8003 is divided by 2667?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 - 5*t**2 - 7. Let i be u(5). Let w = -47 - i. What is w rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3031 + -52154?\nAnswer: -55225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d\/(d*d\/(d\/(d\/((d*((d\/d**16*d)\/d)\/d)\/d))*d))*d*d*d*d*d**(1\/6)*d*d*(d\/((d\/d**(19\/3))\/d))\/(d*d\/(d\/d**(-20))) assuming d is positive.\nAnswer: d**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80) + -2*(sqrt(80) - (sqrt(80) - (sqrt(80) + (sqrt(80)*-1 - sqrt(80))) - sqrt(80))))\/(sqrt(1470)\/sqrt(3)))**2.\nAnswer: 8\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 104 - 107 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {p: 14, k: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 1)*(-19 + 19 - 15*p**2)*(35*p**2 - 43 + 43).\nAnswer: -2625*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -5*w - 701, 8*n - 11*n + 2069 = 2*w. List the prime factors of n.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 107 in -1\/3, 6, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (165\/6 - (1280 - 1215))\/(54\/8)?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + 2*r)*(-r + 2*r + 0*r) + (-80 - 9*r + 80)*(-2 + r + 2).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46 - 38 = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 108729075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 23*g**2 - g - 1. Determine p(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -38  (b) -39  (c) -0.4  (d) -2  (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -308998*f**2 - 496062*f.\nAnswer: -617996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - (-4190)\/(-15))*3. Let j be 8\/36 - k\/9. Let t = j + -54. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 3676318*o - 16872337*o + 1 - 1.\nAnswer: -13196019*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 15.9775237 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 434 and 1116.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 11*q - 12*q + 2*g - 5, 4*q - 3*g + 10 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 72 and 96648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/59685 or 0?\nAnswer: 1\/59685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -124, 4, -326, -139, -5, 8, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -131 by 25.\nAnswer: -131\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1085 - -551. Let n = r - -828. Let k = -267.8 + n. What is k rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2056 = -4*r + 3*u, 3*r - u + 357 = -1180. Let i = 543 + r. Which is smaller: 38 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -93\/4 + 23. Is r greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 81 or -21?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -2 - 3. Let r(c) = -7*c**3 + c**2 + 5*c + 4. Let m be r(j). Solve 5*v = -8 - m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -3, 1, 4, 2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1258*v**5 + v**4 + 7*v - 452 wrt v.\nAnswer: -25160*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7643*x**2*y**2 + 2*x**2*y - 1070*x**2 + 26114*x*y**2 + x*y + 22*y**2 wrt x.\nAnswer: -15286*y**2 + 4*y - 2140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 6*z**3 - 13*z**2 + 13*z - 13. Suppose 963*b - 1115*b + 1976 = 0. Let a(x) = 3 + 3 + 6*x**2 - 6*x + 0*x**3 - 3*x**3. Give b*a(o) + 6*v(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/8)\/((-21)\/27)*(-21560)\/420\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (63\/21)\/(-2*(-6)\/16). Let k be (y\/1)\/(92 + -88). Let f = 1686 + -241100\/143. Which is bigger: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/((-12)\/(-18)*(-3)\/2). Let a(h) = -3*h**2 - h. Let x be a(1). Let w(d) = 5*d**3 - 4*d**2 + d - 6. Let k(r) = r**3 - r**2 - 1. Give q*w(m) + x*k(m).\nAnswer: m**3 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -2*h**2 + 8*h - 5. Let b(k) = 5*k**2 - 17*k + 8. Calculate 6*b(a) + 13*g(a).\nAnswer: 4*a**2 + 2*a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (10 + 852\/(-84))*-7. Sort -112, m, -1 in ascending order.\nAnswer: -112, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*f + 52 + 62 = -110 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1)*q)**(-7\/5)\/(q**2*q\/(q\/((q**(-3\/4)*q)\/q*q))) assuming q is positive.\nAnswer: q**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 10045337737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1155430, 1155423, 1155416, 1155409, 1155402?\n\"Answer: -7*t + 1155437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/673 and -53\/5.\nAnswer: 3365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-3 + (-26)\/(-8)). Suppose 0*h - 9 = -5*t + 4*h, -m*t + 3*h + 7 = 0. Let s = 73\/50 - -1\/25. Does t = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011101 + -1110?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -2*s**3 + 5*s**2 - 4*s - 4. What is j(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2857343 > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 + 27 = -w. Suppose 184 = s + y, -8*y - 567 = -w*s - 6*y. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -145\/12 and -37\/342.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 l when three letters picked without replacement from {c: 9, l: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**4\/5 + 56*t**3\/5 + 316*t**2\/5 + 456*t\/5 + 198\/5 = 0.\nAnswer: -3, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - n + 1672 = -1210, -4*n - 2852 = 4*w. Which is smaller: w or -723?\nAnswer: -723","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1052 less than 5?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -294218767*y**2 + 15528963 wrt y.\nAnswer: -588437534*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**2 - 2 + h**3 + 2*h - 3*h - h**3 - 3*h**4 to t*h**2 + c*h + v*h**4 + k*h**3 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 2)*(2*n + 4*n - 4*n) - 2*n - 5 + 5 + (5*n + 17*n + 7*n)*(0 + 1 + 0).\nAnswer: 23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 6, y: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0, 4, -2, 1, -301 in decreasing order.\nAnswer: 4, 1, 0, -2, -8, -301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2600, -5164, -7728, -10292, -12856, -15420?\n\"Answer: -2564*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 79061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18.2 + 5.8. Let h = 685 + -660.42. Let i = h - y. What is i rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/13*1)\/(19931\/(-1295515))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, k: 5, t: 1, r: 1, c: 1, e: 5}. Give prob of sequence ep.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express y**3 + 139*y**2 - 373*y**2 + 193*y**2 as s*y + j*y**2 + a + c*y**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19015236*c**6*l + 2*c**6 - 1002*c**2 - 677*l wrt c?\nAnswer: -2281828320*c**3*l + 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n + 4*n**3 + 0*n**3 - 5*n**3 - 18*n**2 + 24*n**2 - 12.\nAnswer: -(n - 4)*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -435111+124.6\nAnswer: -434986.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, 4, -1\/4, -1.18 in increasing order.\nAnswer: -1.18, -1\/4, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -8. Suppose 0 = 5*i - 2*t - 107, -t = 1 - w. Let y(x) = -150*x + 18195. Calculate the remainder when y(121) is divided by i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -327 * -0.0046.\nAnswer: 1.5042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 26 + 225. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6421098 divided by -137?\nAnswer: 6421098\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (21\/(-12))\/(4\/(-1360))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*x + 2*x**4 - 2 - 11*x - 10*x**3 + 31*x - x**4 to the form f*x**4 + d*x**2 + t*x**3 + j + c*x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w = 5*y - 215, 4*y + 57*w - 56*w = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - -1. Let y be 0\/(1 - -6 - (-6)\/(-3)). Solve -f + y = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 6, u: 9, v: 4}. What is prob of sequence ku?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20110003 - 1?\nAnswer: 20110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2680, 2477, 2274?\nAnswer: 2071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 - 14*h - 9. Let c be l(-13). Suppose -v - c*v - 45 = 5*i, v + 29 = -5*i. What is the second biggest value in v, 0.04, 1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 3:05 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3888 or 50538\/13?\nAnswer: 50538\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 11 - 22 - 0 - 6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7664 is divided by 3817.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of 3*v**4 - 47*v**3\/2 - 68*v**2. Let g be j(2). Solve -g = 34*n - 31*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-15) + 3974\/(-30). Let z = 131 + q. Which is the third biggest value?  (a) 0.1  (b) 1\/4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3344 + 56*f - 3344)*(-10*f - 19 + 19).\nAnswer: -560*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of 2*j**3\/3 - 31. Let t(v) = 47*v. What is t(y(s))?\nAnswer: 94*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -348 times 3\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(90) - sqrt(10))*-3)\/sqrt(2))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**6)\/(m\/m**(-7)))\/(m*m\/m**(-2\/35)*m**5*m) assuming m is positive.\nAnswer: m**(-317\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 75820 divided by -2230\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.072031*-0.02.\nAnswer: -0.00144062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 360546 and 6489828.\nAnswer: 6489828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*r**5 + 1055*r**4 - 5270*r**3 + 4430*r**2 + 7845*r - 2925 = 0. Calculate r.\nAnswer: -1, 1\/3, 3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216532?\nAnswer: 2, 54133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 144, 131, 112, 87, 56, 19, -24?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -10*q - 319 + 284, 0 = 4*f - q - 17 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 89.82039 millimeters to micrometers.\nAnswer: 89820.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3190 and -17409967053.\nAnswer: -17409963863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0530887279 to five decimal places.\nAnswer: 0.05309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9816 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 4*f - 4. Let w(a) be the first derivative of -a**4\/12 + a**3\/3 + 2*a**2 - 6. Let y(j) be the second derivative of w(j). Determine -3*q(n) - 5*y(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -197.66598 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1344 and 576?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 126018200 to the nearest 100000.\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 20218 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 576 divide 956846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 108b20 (base 13) to base 2\nAnswer: 1011111011001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 + -2488020188925?\nAnswer: -2488020188925.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33361?\nAnswer: 73, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 198*j - 46709. What is h(236)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 11, t: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 70 - 70. Suppose c = -3*r - 3*f - 3, 5*f - 2 = -17. Solve 0*z = -r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3728593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 553344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*6\/28*7. Find the first derivative of 4*t - 4*t + u - 4*t**2 wrt t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 < 158\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 + 2)*(3*p**3 - 2*p**3 - 2*p**3) + (-185 - 351*p + 185)*(p**2 + 1 - 1).\nAnswer: -350*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*n - 2*n + 2*n)*((-n - 3*n + 3*n)*(n**2 - 3 + 3) - n**3 + 3*n**3 + 0*n**3).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.01 and 771?\nAnswer: 7.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express ((10 + 15 - 7)*(0 + 3 + 0) + 4 - 6 + 0)*(1 - 1 + 2*t**2) as r*t + n + z*t**2 and give z.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n. Let s(x) = -3*x**2 - 6*x - 61110. What is s(k(b))?\nAnswer: -3*b**2 - 6*b - 61110","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-2*-2*sqrt(648) - sqrt(648))\/(sqrt(99)\/((sqrt(11) - (sqrt(11) - (sqrt(11) + sqrt(44)\/sqrt(64)))) + sqrt(11))))*-1.\nAnswer: -81*sqrt(2)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.03 - 19.03. Let u = 18.99969 + v. Round u to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 33*p + 315. Calculate the lowest common multiple of 235 and x(-1).\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 370946852 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of s**4\/16 + 5*s**3\/3 - 43*s**2\/8 + 11*s\/2 + 2366. Factor f(u).\nAnswer: (u - 1)**2*(u + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 86\/2475915 and -11\/1575?\nAnswer: 259971075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1\/226?\nAnswer: -1\/226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 18 = -3*a + 3*x, -2*a = 3*x + 12. Let m be (-3)\/a + 34\/4. Let d(l) = l. Let o be d(6). Calculate the highest common factor of o and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1063 + 1063 + 4*l + 0*l + 35*l - 5*l - 3*l + 3*l + l + (-1 + 0 + 2)*(2*l + 3 - 3) - l + 2 - 2.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 6:42 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 369270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -11*s + 2. Let d be f(3). Let c = -16 - d. 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: Let p = 1802 + -1135. Let u be (4\/(-2) + 0)*-1. Suppose -q - u*y + 321 = 0, -2*q = -0*q - y - p. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 103694149 - 103694210.217589. Let v = g + 0.210289. Let n = v - -61. Round n to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the third derivative of l**4\/24 + l**3\/2 - 3*l**2. Let p = 40 + -20. Suppose 2*g = g, -5*b - p = -g. Calculate t(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27.59 + 0.41. Suppose 37*n = 71 + 3. Let x be (1 + (-3 - -2 - n))*1. What is the third biggest value in x, 0.2, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2a8 (base 15) in base 14?\nAnswer: -316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -13*i**2 + 10*i. Let a(z) = -65001*z + z**2 + 65001*z. Give a(v(p)).\nAnswer: 169*p**4 - 260*p**3 + 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 2*s = -15, 5*q + 25681 = 3*s + 25671 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 1, -4 in decreasing order.\nAnswer: 9, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29853 is divided by 228?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b + 4*x - 21, b + 7 = 4*x - x. Solve -3*t - 20 = -b*f, 3*t + 1 = 3*f - 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1012)\/((-14444)\/(-157))*((-4)\/(-506))\/(-1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/4 and 32\/17?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30190827 is divided by 64.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1264 + 1421. Factor -p**2 - 24 + 0*p**2 + 2660*p - r*p.\nAnswer: -(p + 1)*(p + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19810069873\/72 - -275156853. Let x = 16994 - l. Calculate the common denominator of x and -109\/22.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 39 and 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 - 6*p**2 + p + 2. Let o be g(-6). Does 14 divide (-1200)\/(-36)*(-18)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 873149797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1139797576 and 14.\nAnswer: 7978583032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1275588 and 33976?\nAnswer: 349511112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -9*v + 8*v**2 + v**3 + 3 - 7*v**2 + v**2 + 7*v**2. Determine c(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -881*f + 904*f + 207 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Do 1529\/3 and -0.4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110 (base 5) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 24875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/11)*g)**(-26\/9)\/((g**(-12)\/g)\/(g*g**(-2\/37))) assuming g is positive.\nAnswer: g**(4714\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(35\/(-20)) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77 and 418?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88.39152ml to litres.\nAnswer: 0.08839152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2162 + 112. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (22025\/858975)\/(1*1\/(-24))\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 + c9a43?\nAnswer: c9a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10\/11 - 114\/77. Suppose -5*w - 2*m - 3*m = -110, 5*m + 130 = 5*w. Let u = w - 23. What is the closest to u in 3, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 4 = -a. Let v be a*(-12)\/(-9) - -6. Let s(y) = -6 + v*y**2 - 3*y**2 + 6. Let n(u) = 4*u**2. Calculate s(n(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2 + 2*i + 1. Let t(c) = c**2 - c - 2. Let d(j) = 3*t(j) + 2*z(j). Determine d(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 86 = 23. Suppose -3*c = d + 2, -6*d - a = 4*c - d. Solve -2*f - 3 = 3*n + 1, 0 = -3*f - n + c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, v: 4, k: 1}. What is prob of sequence vk?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -6*(2 + (-14)\/6). Suppose 2*z - 2*a - 4 = -2*z, 0 = -5*z + c*a + 4. Suppose 0 = -k + 3*i - 6, -i + 23 = 2*k - z*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - l**2 - 4 + 3 + 1 - 4*l**4 as q*l**4 + t*l**2 + j*l**3 + c + y*l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = -a + 8*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -22447 + 37457. Suppose -74*j = -64*j - n. List the prime factors of j.\nAnswer: 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/60 + (-2)\/(-8)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.08 and -1011998?\nAnswer: 80959.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 802*l**3 - l**2 + l - 1. Let u be g(1). Suppose -u + 3201 = 5*j. Suppose 0 = -14*s + 19*s - j. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1432 a factor of 20025088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 9.4 - 10. Let g = 1 + h. Let z = -0.25 + 0.35. Sort z, -2\/7, g in decreasing order.\nAnswer: g, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*t + 62*t + 64*t - 3*t**2 - 150*t.\nAnswer: -3*t**2 + 20*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -137, -512, -1137, -2006, -3113?\n\"Answer: n**3 - 131*n**2 + 11*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rlllrrrrrllrllrr. What is prob of sequence lrr?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 31212*q**3 + 2198304*q**2 + 1043535*q - 1566660525 = 0.\nAnswer: -4765\/102, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 520713 and 1692?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -2*g**3 + 12*g**2 + 6*g + 18. Calculate j(8).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 3  (b) 4  (c) 1\/3  (d) 7312  (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**4 - 17*j**3 + 5*j**2 + 737*j - 726.\nAnswer: (j - 11)**2*(j - 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*o = -109*o - 49*x + 62*x - 38, x = -1 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -217 = 2*j + 218 + 219 - 652, -12 = -2*l - 6*j for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 14 = v, 4*v - 6*j - 24 = -2*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -58420.40583 rounded to the nearest ten?\nAnswer: -58420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -2*p + 12, 5*p = 2*m - 0*m + 6. Suppose m*a + a - 1470 = 0. Round a to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10 + 2 + -10)*3\/2. Suppose -t*c = -268 + 184. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24 + 47. Suppose x*r - 28*r = -35. Suppose -2*s - 4*z + 21 = s, s - r = -2*z. Solve -4*q - s = c + 8, -5*c = -2*q - 35 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of g**4 - g**3 + g**2 - g + 3. Is w(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -175 - -2099\/12. Let g(f) = -f**3 + 5*f**2 - 5*f. Let i be g(4). Which is the nearest to -1?  (a) i  (b) w  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20b0 (base 12) to base 16\nAnswer: -e04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -30743, -29790, -28837?\n\"Answer: 953*i - 31696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p. Let i(f) be the second derivative of -2*f**2 + 1\/6*f**3 + 1 - 26*f. Calculate s(i(q)).\nAnswer: -2*q + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 26.16239 and -11.\nAnswer: 15.16239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gllj when four letters picked without replacement from ggllggllglllgllglgj?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5662471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -11 + 19 + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 2*i - 196. Let f = -1 + 1. Suppose 3*m = -f*m + 210. What is the highest common divisor of i and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 167395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/25)\/c**8 assuming c is positive.\nAnswer: c**(-199\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 509 a factor of 33262641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 64*n + 546. Let q be c(-6). Suppose 3*a = 48 - 276. Let x = q + a. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10293637 - -1.7?\nAnswer: 10293638.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2 - 18907578*y - 18907581.\nAnswer: 3*(y - 6302527)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*j + 163 - 88 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -706 + 727 - ((2 - 3) + (-2 - -6))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3165046 is divided by 633008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 15424, 61690, 138800, 246754, 385552, 555194?\n\"Answer: 15422*b**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 2*r + 40, 5 = 6*l - 4*l + 5*r. Let p = l - -40. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*-0.77\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + -21c?\nAnswer: -21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1245*a - 7*a**3 - 5137*a + 3892*a.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 131122120 (base 4) to base 7\nAnswer: 1011142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -936, -1870, -2806, -3744, -4684, -5626?\nAnswer: -6570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 49, 69, 87, 103, 117, 129?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 + -174b710?\nAnswer: -174b70b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*r**5 - 471*r**3 - 3*r**2 + 471*r - 9?\nAnswer: -540*r**2 - 2826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of a**5\/20 - a**4\/3 - 5*a**3\/6 - a**2 - 2*a. Calculate u(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 130540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3108421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*m**4\/7 + 54*m**3\/7 + 48*m**2\/7 - 230*m = 0. Calculate m.\nAnswer: -5, 0, 7, 23\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/9660 and 31\/1308930.\nAnswer: 2617860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 2) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -29 - 5*p + 16 + 13. Let u(z) = -2*z**2. What is u(r(j))?\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 15715, 31426, 47137, 62848, 78559, 94270?\n\"Answer: 15711*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116473 is divided by 29113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2\/1249 + -2492\/3747. Which is the nearest to q?  (a) 2\/141  (b) 4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 + 7*o. Let i be p(7). Let q be 1*(4 + (i - 2)). Solve 0 = 2*w + q, -3*u + 4*w + 0*w = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 236, 234, 232, 230, 228, 226?\n\"Answer: -2*a + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 82\/(4203648\/(-96))*6.\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(2\/3))**40)**(12\/5)\/(k**(-3\/4)*k**(-1))**(-3\/40) assuming k is positive.\nAnswer: k**(10219\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 7*j. Let x(m) = 2*m - 4. Let w(n) = -n + 1. Let a(i) = -12*w(i) - 3*x(i). Calculate a(y(v)).\nAnswer: 42*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 3570 = 5*n, 3*n - 2*r + 0*r - 2141 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 282169\/28510 + 6\/15. Let q = h + 8\/2851. Calculate the common denominator of q and 71\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 152 = -4*y - 3*k, 336 = 4*y - 2*k. Calculate the remainder when y is divided by 189\/315 + (-306)\/(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-4688)\/(-352) + (-4)\/(-22) and -101\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 440548877?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q + 10. Let o be m(-8). Let x = o + 1. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 7:00 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 28a28 (base 14) in base 10?\nAnswer: 100780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 4*y**2 + 2*y - 6. Let z be h(4). Suppose -z*v + 8*v = 30. Let k be 12*(987500\/3)\/v. What is k rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.08941 or -3998?\nAnswer: -0.08941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s + 5 - 37 = 24*s. Sort -0.053, s, -2, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.053, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 234 (base 5) in base 13?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2964\/6916 - (2 + (-20)\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*j = 23*j + 48. Let v(m) = 4*m - 37. Let q be v(j). Suppose 5*c = -q - 4. What is the closest to 1\/4 in -0.4, 1\/9, c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 134961494901611 + 5\nAnswer: 134961494901616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = -4*w - 22, 2*c + 5*w + 14 = 3*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 3*x**4 - 152*x**3 + 1003*x**2 - 2587*x + 1733. Let w(a) = 4*a**4 - 228*a**3 + 1504*a**2 - 3880*a + 2600. Let v(y) = 8*m(y) - 5*w(y). Factor v(k).\nAnswer: 4*(k - 6)**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -7*l**3 - 113*l**2 - 6*l + 177. Determine i(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1134) - -2*sqrt(1134)*-5)\/(sqrt(343) - -1*(sqrt(343) - (sqrt(343) + sqrt(343)*-2)))*-3.\nAnswer: 81*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.23 - -0.07. Let c = -13.103 + 13.2. Let p = -0.903 - c. What is the closest to p in 2, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -119 - 89. Suppose 855 = -12*s + 3*s. Let g = s - y. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0659596 rounded to 3 dps?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 5*z - 6. Let s = -17 + 21. Let l(a) = -a + a - a + 0. Let r(w) = s*l(w) + c(w). Calculate r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (0 + sqrt(11))*-1)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -3, -0.2, 4 in ascending order.\nAnswer: -21, -3, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25405 - 25399. Sort g, -4, 1, -5, 21.\nAnswer: -5, -4, 1, g, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 5*r = 4*a - 444, -5*a + 555 = 4*r. Let l(b) = 19*b - 134. Let t be l(11). Let u = a - t. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 63 + -88. Let o = z - -25. Suppose -f = -o*f - 5. Calculate the highest common factor of f and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -16*x + 77 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -1. Let n(h) be the third derivative of h**6\/8 - h**5\/60 + 2*h**2 + 96*h. Give n(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jaujujvjjjjjv.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w + 2*w - 3*w. Let a be 2 + (1 - 3 - -2). Let v(t) = a - 2 + t. Calculate b(v(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20.42 - -20.2. Round m to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 58.803 and -6814 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 30685456 and -14304?\nAnswer: 30699760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 30270478 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: What is the thousands digit of 8105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -4*v**4 - 20*v**3 + 536*v**2 - 960*v = 0?\nAnswer: -15, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1933 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*y, -4*f - y + 30 = 20. Let t(s) be the second derivative of 1\/6*s**4 + 1\/3*s**2 - 18*s + 4\/9*s**f + 0. Factor t(u).\nAnswer: 2*(u + 1)*(3*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + 4*c. Suppose 2 = -z + 6. Let y(x) = -x. Let k(q) = z*y(q) + h(q). Let a(g) = 2*g. What is k(a(f))?\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 103\/(1\/((-8)\/48)*9\/54).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x + 5*x - 4*x)*(-3*x + 3*x - 2*x**3) + (2*x**3 + 2*x**3 - 5*x**3)*(4 + x - 4).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 - 13*c**2 - 22*c + 6. Give w(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 20\/259 and -25\/938431?\nAnswer: 6569017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*m**2*p**2 - 256*m**2 - m*p**2 + p wrt p.\nAnswer: -8*m**2*p - 2*m*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3. Let j be y(1). What is the remainder when -3 + 33\/1 + j is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4241476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-7))\/g**(-4)*(((g*g*((g\/g**1)\/g)\/g*g)\/g)\/g*g*g)\/(g*g**(-1\/6)) assuming g is positive.\nAnswer: g**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 374  (c) 1\/6  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/438513 and 65\/934.\nAnswer: 877026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 3071562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (803\/(-77) - -11) + (-342)\/(-14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 382181?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -146*i + 109. Let t be f(-4). Let m = 702 - t. Solve 0 = -2*c - n, 5*c - 2*c - 3*n = -m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 + 6)*(-8)\/(-36). Suppose 3*t = -d*t + 10. Is 8 a factor of 5*(-1)\/t*480\/(-75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -3*v**3 - 8*v**2 + 10*v + 9. Determine g(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/46 and (17\/918)\/(3\/387).\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 3, -7, -681, -5, 1 in decreasing order.\nAnswer: 12, 3, 1, -5, -7, -681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do -4\/15 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 + 15*m - 6. Let w be o(10). Suppose -2*u + w = 2*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k**4 - 4545785*k**3 - 50003205*k**2 - 159100675*k - 113643250 = 0.\nAnswer: -909146, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 168, 1120, 2512, 4344, 6616?\nAnswer: 9328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6287947 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 - 6*f - 8. Let g = 4 + -2. Let h be (-1)\/((-14)\/(-6) - g). What is the units digit of l(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 + 81 = 5*q. Calculate the smallest common multiple of q and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of f**2\/2 + 6. Suppose -3*c = -4*c + 3. Let d(k) = 0*k + k + c*k. Give 2*d(h) - 6*u(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 w, and 1 s when three letters picked without replacement from wxjsgggjsgjggxwx.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2176)\/(-624) + (-2)\/(-39)*-3. Factor 0 - 5\/3*w**3 + y*w**2 + 0*w.\nAnswer: -5*w**2*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 2  (b) 4\/33  (c) -0.5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 + 7*z**2 + 5. Let k be h(-7). Suppose 2*x + a + k = 18, -4*x = 5*a - 23. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2200648, -6, 1 in decreasing order.\nAnswer: 2200648, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131*h - 142*h = 55 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 1345*z + 6720. Calculate l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 + -4)*(1 + 2). Let m be (p\/9 + 0)*-6. Let f(l) = l**m + 2*l**2 - 5*l**2. Let v(i) = 5*i. Determine f(v(g)).\nAnswer: -50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 134. Let i = 303 - p. Is 33 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 115\/6 in 1\/4, 84, -163?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -134 + 774 = 8*v. What is the greatest common divisor of v and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**3 - 9*p**2 - 2*p - 38. Let i be j(-5). Let u(a) = -a + 6. Let c be u(6). Put c, i, 3, 2 in increasing order.\nAnswer: i, c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 64.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 5, -6*w = -3*w - z - 14. Find the third derivative of l**2 + 2*l**w + 4*l**2 - l**2 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of l**9\/3024 + l**8\/336 + 5*l**7\/504 + l**6\/72 + 47*l**4\/6 - 31*l - 2. Let t(p) be the third derivative of r(p). Factor t(n).\nAnswer: 5*n*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + (-10 - -3) + 3 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 325 and 22037.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*a + 8*a = 16*a + 380 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-3)*18\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 358316957.3 to the nearest 10000.\nAnswer: 358320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (50\/(-36))\/((-4220)\/3376).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 32*h + 5. Let s(g) be the third derivative of 30*g**4 + 56*g**3\/3 + 4564*g**2. Determine -112*i(w) + 5*s(w).\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - -6. Solve c = -0*f - 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-1 + (10 - 6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3868758 + 7?\nAnswer: -3868751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4381*r**3 - 2205*r**3 - 2178*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2\/4 - 1581495*z - 2501126435025.\nAnswer: -(z + 3162990)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 1242*f**3 - 8691*f**2 - 9957*f - 24 = 0. Calculate f.\nAnswer: -1, -1\/414, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/279, 3, 6, -80, -0.5, 0.04 in decreasing order.\nAnswer: 6, 3, 0.04, -2\/279, -0.5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -598, -1205, -1836, -2503, -3218, -3993?\nAnswer: -4840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 38 + 33 - 75 + 2*p. Let v be (-1)\/(-2) - 7\/(-2). Let a be r(v). Solve 0 = 2*u + a*h - 6, -3*u = -2*h - 3 + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 38\/8 - (-2)\/8. Suppose -2*t - 3*f + 6 = 0, -5 - 7 = -4*t + b*f. What is the second derivative of 0 + 2 + 5*x**t - 2*x - 2 wrt x?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/7  (b) -0.48  (c) -2  (d) 4\/3  (e) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13129\/110 - 1413\/11. Calculate the common denominator of y and (-4)\/(-32) + (-70)\/16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19.728 rounded to 1 dp?\nAnswer: -19.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.7075154 + 3543109\nAnswer: 3543109.7075154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0.1, 1\/4, -84343?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 - 3*u**2 + 3. Let p be w(3). Suppose 35 = -3*s - x, -p*s + 2*x - 25 = -2*x. Let a = s - -15. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 939951566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -115767, -115735, -115703, -115671, -115639?\n\"Answer: 32*r - 115799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 42334969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*c - 4*c + 4*c)*(-2*c - c + 0*c)*(-16 + 1 + 10) + (-1 + 1 + c**2)*(1 + 1 + 0) in the form v + d*c + i*c**2 and give i.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120) - sqrt(120)*1)\/sqrt(8))\/(sqrt(5) + sqrt(605)*-2) + (-2 + 2*sqrt(300) - (sqrt(300) + -1*sqrt(300) + 5))**2 + -4.\nAnswer: -280*sqrt(3) + 1245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -24 * 36.1.\nAnswer: -866.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of 0 + 0*t + 0*t**3 + 0*t**6 - 1\/60*t**5 - 2\/105*t**7 - 3*t**2 + 0*t**4. What is the third derivative of b(r) wrt r?\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*q - 3*q - 4*q)*(3 + 2*q - 2 - 2)*(3*q + q - 3*q) to the form l*q + n*q**2 + o + j*q**3 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 12  (c) -8\/513  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 39\/200?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 243.8 + -244. What is the nearest to -0.2 in 26, 1\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -21*q + 1. Suppose 3*p = d - 5, -d + 5 = -3*p + p. Let i(u) = -10*u. Let y(r) = d*i(r) - 2*h(r). Is y(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -208 - 164 - (2 - -187)?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/7)\/(16\/(-14) - -1). Suppose 2*w - 3*y + 8 - 47 = 0, 34 = i*w - 2*y. Suppose w*c - 8 = 11*c. Solve -o = o + c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (0*(19\/190 - 6\/(-15)))\/3. Solve -30*j - 3 - 147 = r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -2, -4, -6, -5 in ascending order.\nAnswer: -6, -5, -4, -2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2262*n**2 - 2254*n**2 + 4470*n**2.\nAnswer: -46*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -55*r - 1051. What is x(-19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1121101 - 0?\nAnswer: -1121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 0.03  (b) -2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -3*u, 2587*d = 2592*d + 4*u - 41 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3658779127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**2 - 12*y - 26. Let l be j(-8). Let g = l - 176. Calculate the highest common divisor of 33 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6\/11, -35, -611, 2\/5, 5?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*m - 17*m + 425 + 1645 - 276 to h*m + b and give b.\nAnswer: 1794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 AM and 6:46 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-382421)\/(-3) + (-2)\/3. Suppose 2*n + 1182365 = 7*n. Let s = t - n. What is s rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7823117.\nAnswer: 19, 411743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10 - 10 + 4*o**2)*(3*o**2 - 4*o**2 + 3*o**2) + (-2 - 2*o**3 - 1 + o**3)*(0 + 0 - 2*o) to the form u*o**2 + v + f*o**3 + y*o**4 + a*o and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 11, -1, 1, -4 in descending order.\nAnswer: 11, 1, -1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.62 + -2.62. Which is the nearest to g?  (a) 0.3  (b) -1\/3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6329190 is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 + 8.3. Let v = p + -0.8. Let j = -80286.4 - -80286. What is the closest to -2 in j, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 3*i - 4*i)*(i - i - 7*i)*((-2 + 0 + 1)*(0 + 0 + 2*i**2) + i**2 + 3*i**2 - 3*i**2)*(2*i - 1 + 1).\nAnswer: 14*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 929483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, w: 6, v: 3, t: 6, s: 1}. Give prob of sequence ytt.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10989?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 89, -1, -3, 5, -3\/8 in ascending order.\nAnswer: -3, -1, -3\/8, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -1, -6, -10634, -64 in decreasing order.\nAnswer: 4, -1, -4, -6, -64, -10634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 1 = -2*f, 5*f = -j - 0*f + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -14  (c) 0.5  (d) -0.2  (e) -20  (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + (6\/(-9))\/((-4)\/30). Let q be 7 + 3 - (b - 2). Suppose -92 = 2*r - q*r. What is the remainder when 91 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v + 14. Let f be n(-12). Suppose -5*w = f - 12. Suppose 9 = s + w*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 192086396*f*q - q - 72999630 wrt f?\nAnswer: 192086396*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, e: 1, u: 1, i: 2, x: 1}. What is prob of picking 1 i, 1 a, and 1 e?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -c + 7, -43*d + 11*d + c - 238 = -9*d - d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 + 4*f - 4. Let b(w) = -w**3 - w**2 + w - 1. Let j(r) = -11*r**3 - 5*r**2 + 32*r - 32. Let a(v) = 5*b(v) - j(v). What is -4*a(z) - 27*n(z)?\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l - 2*l - 2*l)*(-4 + 4 - 4)*(0*l - l**3 + 0*l).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 4*q**3 - 3*q**2 + 6*q - 1. Let h(m) = -3*m**3 + 2*m**2 - 5*m. Give -2*d(i) - 3*h(i).\nAnswer: i**3 + 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 3 = 3*l. Let o be (1 + l)\/(15 + -13). Solve -5*j = -5*z + 10, o*z - 3*z = j - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-39)\/(-52)*(2\/3)\/(-1)*-127058?\nAnswer: 17, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.972 or 1558?\nAnswer: 1558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/1)\/1)\/(26\/1196*46)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7)\/(6\/(-28) - 8\/28). Solve 4*l = -s - 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/435?  (a) 0.3  (b) -1\/3  (c) 4  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 11) + 14 - (-3 + 0 + 19)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4417 by -106.\nAnswer: 4417\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17 - 37. Let l be 8\/b + (-27)\/(-5). What is the remainder when 91 is divided by (15\/l)\/((-9)\/(-57))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1213 * 319\nAnswer: -386947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/6)\/(-2)*(-1539)\/(-5130).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 1:46 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 - a + 2. List the prime factors of w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4 - -1)\/(-1) - -1. Let j = 5 + -6. What is the closest to j in 1, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2. Let d(l) = 5754*l - 24. Let v(j) = -70601585*j + 294474. Let p(i) = -49079*d(i) - 4*v(i). What is y(p(s))?\nAnswer: 33339076*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1458 and 63828?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5660*y + 275562 + 638998 = -1485*y for y.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -202312 + -21321?\nAnswer: -230233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*x + 1 - 1)*(-1 + 1 - x) + (4*x - 3*x + 0*x)*(0*x + 5*x - 4*x))*(-5 + 4 + 3).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 3*i + 4*j, -6*i + 4*i + 3 = 3*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of z**3\/3 - 24*z**2 + 17456*z + 9. Let s = 14 - -7. Give k(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {p: 6, j: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 66.6003994 + 17397?\nAnswer: 17463.6003994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60*o**3 - 8*o**3 + 65*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 - -18. What is the highest common factor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 23736096 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/(-2))\/((-4)\/6). Let z be ((-1)\/2 - 0) + (-78)\/(-12). Suppose z*v - 2*v - 20 = 4*r, 0 = -r - 3. Solve k = x, v*l + 0*l + 2*x - 6 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251 is divided by 81.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -13645200 divided by -274\nAnswer: 49800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4089 divided by 10769?\nAnswer: 4089\/10769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 358944 divided by -22434\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3101*p - 22 = 4*k + 3099*p, -2*k - 4*p + 34 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 4. Let k be (-8)\/6 - a\/(-9). Let l = -24 + 22. Which is greater: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 51776381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-8)\/(-10))\/(4\/(-70)). Let r be (-4)\/o - (7 + -7). What is the second biggest value in r, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39 and 407979?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 4\/30 - (-9)\/(-2700)*(-5605)\/38\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 78*k - 1003*k**4 + 1004*k**4 - 4*k**2 - 78*k**3 - 2*k**2 + k**2 + 4*k**2.\nAnswer: k*(k - 78)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -2. Suppose -2*y + 40 + 12 = s. Calculate the remainder when y is divided by ((-8)\/(-10) + -2)\/((-48)\/360).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -5742*u - 120537. What is s(-21)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -915, -4, 9, 1 in decreasing order.\nAnswer: 9, 1, -4, -915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.02 - 0.02. Is q <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1072688521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 134 - 1384*z**2 - 329 + 196 + (0 + 4 - 5)*(-2*z + 2*z + z)*(-3 + z + 3) to the form i*z**2 + b*z + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169*f - 87*f = 4352 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) be the second derivative of 5*n + 0*n**5 + 0*n**2 + 2\/15*n**6 + 0 - 1\/2*n**3 + 0*n**4. What is the second derivative of s(r) wrt r?\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r - 3. Let x be a(-12). Suppose -4*g - 31 = -3*p, -7*p = -x*p + g + 14. Solve p*c - 2 = -27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -15. Let j = -7 - o. Suppose 2*a = -2*d + 318, -j*a - 3*a = 2*d - 330. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1 and 1063.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d*d**(-2\/21)*d*d**(-2\/3)*d*d*d**(-3)*d\/(d*d**8) assuming d is positive.\nAnswer: d**(-163\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 11 = t, 17591*z - 17589*z + 2*t = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 111 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 10 = -2. Let h be g\/(-36) - 777\/27. Let f = 26 + h. Sort -8, f, 2.\nAnswer: -8, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -4*g - 6. Let m be n(-2). Suppose m*h + h = 15. Suppose -9*x + 84 = -h*x. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 + q + (7*q - 3 + 3)*(2 + 1 - 2))*(-764 + 1609 - 1800 - 2945) in the form u*q + y and give u.\nAnswer: -31200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -11*s**2 - 25389*s + 4. Let c(p) = p**2. Give g(c(o)).\nAnswer: -11*o**4 - 25389*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 22 - 79. Let m(r) = r**3 - 13*r**2 + 42*r + 48. Calculate the remainder when m(4) is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 35932059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 5*(5 + 6*sqrt(13)*1).\nAnswer: 27 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18479082, 36958167, 55437252, 73916337, 92395422, 110874507?\nAnswer: 129353592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -4*b + 138. Let m(w) = -2*w - 1. Give 3*m(c) - r(c).\nAnswer: -2*c - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 75660 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -351 - -354. Solve 7*c - 3*c + 3*z = 22, 2*c - 2 = x*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -4*i - 6, -3*w + w + 18 = -2*i. Suppose -23*j - 465 = -26*j. Let q = j - 145. What is the highest common divisor of w and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 55926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/a**2))**(-2\/31)\/(a**(1\/18)*a**(-23)) assuming a is positive.\nAnswer: a**(12731\/558)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = 3*w - p - 2580, -4*w + 3405 = 3*p. What is the remainder when w is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1337673*m**3*n**2*w**3 - m**3*w**3 + 7*m**2*n**2*w**3 - 4*m**2*n*w + m*n**2 - 52*n*w**2 - 2*w**3 wrt m.\nAnswer: 8026038*n**2*w**3 - 6*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:01 PM and 9:18 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2\/4 - 1043893*k\/4 + 20355153\/2.\nAnswer: (k - 1043854)*(k - 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 194*d - 24. Give i(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 j, and 1 i when three letters picked without replacement from {k: 2, v: 1, l: 2, j: 3, i: 8, h: 1}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -308 - -316. Let w = 44 - 26. What is the lowest common multiple of (w\/(-10))\/((o + -4)\/(-60)) and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 8\/(-7)*(-14)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(325)*1)**2 + ((0 + sqrt(13) + sqrt(13) - sqrt(13))*3 - sqrt(13)))*2 + (1 + 1*sqrt(1053))**2 + 1.\nAnswer: 22*sqrt(13) + 1705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -513 divided by 57?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 950*w - 718*w + 31 - 1 + 26. Let g(i) = 21*i + 5. Give -56*g(b) + 5*z(b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1092*r = 2*j - 1088*r - 36, 92*j - 97*j = 4*r - 114 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 AM and 1:01 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 1212052.\nAnswer: -1212049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1133456, -2266921, -3400386, -4533851, -5667316, -6800781?\nAnswer: -7934246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 3229, 6425, 9825, 13429, 17237, 21249, 25465?\n\"Answer: 102*a**2 + 2890*a + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00008831 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from akkkkkkkakkkakkkakkk?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*t + 5. What is the units digit of (t - 15\/(-4))*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -80828.79 to the nearest 1000.\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 145117 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 1 + 2 + 2*u + (-u + 6*u - 2*u)*(-4 + 6 + 2).\nAnswer: 14*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 3) + (8 + -6 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -q + 22, -4*q + 17 + 33 = r. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20878581 and 1967.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*o + 3212 = -7506. What are the prime factors of o?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1584) - (sqrt(1584) + (sqrt(1584) - 4*2*sqrt(1584)))) + 4 + 3)**2.\nAnswer: 1176*sqrt(11) + 77665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 240*s = -102*s - 140*s + 415*s - 2211 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 51, 180, 557, 1308, 2559, 4436, 7065, 10572?\n\"Answer: 21*r**3 - 2*r**2 - 12*r + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 6900000 to the nearest one hundred thousand.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6*1*(-4)\/(-16))\/(34\/4896*-81)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50 = -c + 3*b + 26 + 38, 5*c + b + 26 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(1\/6))\/((x*x**16*x)\/x)*x**8\/((x\/((x\/x**(-4\/15))\/x))\/x*x) assuming x is positive.\nAnswer: x**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 658*l - 10 = 656*l. Suppose -4*b + l*y + 104 = 0, 0 = -3*b - 2*y + 6*y + 77. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 4*q - 20, -25 = 7*l - 3*l + 5*q. Suppose -4*s + 11 - 3 = 0. Solve s*v - 3*v = l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 248\/463 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 148277 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -j + 31343, 5*z - 50011 + 18677 = 2*j. Suppose 0 = a - z - 579. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 265*g**3*s**2 - 6437*g*s**2 - s**2 + 90*s - 1474 wrt g?\nAnswer: 795*g**2*s**2 - 6437*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.91 - 0.8943. Round v to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 + 251*d**2 - 2429*d + 4588. What is a(241)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qllzmzr. What is prob of picking 1 m, 1 r, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 - s. Let d(l) = 9*l**2 - 2*l. Give d(g) - 4*u(g).\nAnswer: 13*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 7*r - 4. Let z be 5\/10 - 2\/(-4). Let x be w(z). Is 1*127*(x - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the second derivative of 1\/15*j**6 - 1\/42*j**7 + j - j**2 - 2\/3*j**4 + 1\/10*j**5 - 31 + 7\/6*j**3. Factor y(p).\nAnswer: -(p - 1)**4*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4473 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(143)\/(sqrt(1100) + sqrt(1100)*-2 + sqrt(11)) + (-2*sqrt(156)*-5)\/sqrt(12).\nAnswer: 89*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 12:06 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**2 - 25*f + 28. Let v(b) = -b**3 + 9*b**2 + b + 7. Let q be v(9). What is the hundreds digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6020537 to the nearest integer?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -6. Let l be 1\/(1*y\/2). Let q(b) = 5*b**2 - 4*b - 5. Let z(i) = i**2 + i + 1. Let v(x) = q(x) + 4*z(x). Calculate v(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 11050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 279894167837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*u**2 - 2*u**2 - 13*u**2 - 3 - 5*u**2 - 35*u**2.\nAnswer: -49*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75954*q + 75941*q + 169 = 0 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 34 in 181, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1020 and 20.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 518 = 12*d. Suppose -3*o = -k + 2*o - 10, 0 = 3*k + 5*o - 30. Suppose 5*b - d = 4*u, u = -k*b + 2*b + 41. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34378 is divided by 201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 111813 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 6:17 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:03 PM and 9:52 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 12665 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 - -44. Suppose 0 = 4*n + 4, 0 = -o - 3*n + 7 - 5. Let r = f - o. What is the highest common factor of r and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 330, 1070, 1800, 2514, 3206, 3870, 4500, 5090?\n\"Answer: -z**3 + z**2 + 744*z - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 4*k - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**2 + 7*s - 15. Let a be g(-9). Suppose 516 = 3*q - 3*f, q - 29 = -a*f + 163. What are the prime factors of q?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -48\/7*w - 24\/7*w**3 - 16\/7 - 4\/7*w**4 - 52\/7*w**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - u - 53 = -f, 3*f + 31 = u. Suppose 404 + 0 = -4*i. Let d = u - i. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 4*k, 2*k + 10*o + 4 = 14*o. What is the third derivative of 64*l**6 + 20*l**k + 8 - l**4 + 99*l**6 + 2*l**3 - 5 + l**4 wrt l?\nAnswer: 19560*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*u + 151 = 171 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 964 = 4*w, 3*z - 5*w = 959 - 220. Calculate the highest common factor of 891 and z.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 3600*s**3 - 7560*s**2 + 729*s - 25. Let f(d) = -1200*d**3 + 2520*d**2 - 243*d + 8. Let l(i) = 7*f(i) + 2*k(i). Factor l(w).\nAnswer: -3*(w - 2)*(20*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9\/25 of a litre?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0 + 16\/(-2 + -2). Find the common denominator of 143\/6 and w\/22 + (-223)\/44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or 53.41348?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h - 2. What is the remainder when 4 is divided by k(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11329765 - 11875941.\nAnswer: -546176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 414703609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 8924 + 8906 = -3*j, -5*j = 3*o + 26 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 663 + -664. What is the closest to 0 in -4, 2, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -732*f = -5040*f - 12924 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1186 by 58645.\nAnswer: 1186\/58645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 50 = s - 6, 3*u - 2*s = 25. Let q(k) = -k**3 + 10*k**2 - 10*k + 3. Calculate q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.546 + 2185941.246\nAnswer: 2185941.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 14.72635 hours?\nAnswer: 53014860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 3*n**2 - 102*n + 69. Give x(26).\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/44 and -53\/37972?\nAnswer: 37972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 915768*0.29\nAnswer: 265572.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.130379 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 22107946549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 923.\nAnswer: 92.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3477289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of a**4\/8 + 59*a**3\/6 + 935*a**2\/4 + 4477*a\/2 - 5721. Solve v(t) = 0 for t.\nAnswer: -37, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-28)*0 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/6)\/(4\/(-18)). Let v be ((y\/2)\/(-1))\/6. Let z = 0.9 + 0.1. Sort 2, z, v in increasing order.\nAnswer: v, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -6 + -1 + 0 + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 19\/(-5) + (-16)\/(-20). Let v = a + 7. Suppose v*l = 3*l. Solve -5*i - 4*b - 13 = l, b + 0*b + 7 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*w - w - w)*(33*w**2 + w - 13 + 13) in the form h*w + l + p*w**3 + t*w**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + 4 - 4)*(3 - 6 + 1)*(-6 - 5 + 6).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1543 (base 10) to base 2.\nAnswer: -11000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of -493*d**6\/6 - 2*d**5\/5 + 90*d**2 + 834. Find the second derivative of k(s) wrt s.\nAnswer: -9860*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5319, -21262, -47841, -85062, -132931, -191454?\nAnswer: -260637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 73.9 + -73.8. Let d = -2.98 + 3. Is o equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35432 + 176603\/5. Let t = i + 111. What is the closest to t in -4, 1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*f + 2 = 119*f - 235*f + 3*g, -4*f + 220 = -94*g for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 620, 1393, 2456, 3953, 6028, 8825, 12488?\nAnswer: 17161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*i - 2*l, i + i + 21 = -3*l. Let k = i + 9. Calculate the smallest common multiple of k and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -11 - -17 - (-1 - (2 + -17))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 2 k, and 1 g when four letters picked without replacement from kgkcccggcc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of -250*n**2 - 1 - 5\/12*n**4 + 3*n + 50\/3*n**3. Factor f(b).\nAnswer: -5*(b - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1544 + 1983. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 6 = 2. Let j be (o\/(-6))\/(4\/(-6)). Is -1 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2798218 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 6*b - 912. Let k(h) = -2*h + 456. Let z(q) = a(q) + 2*k(q). Let g(w) = 7*w - 6. Let j(m) = 7*m - 6. Let r(l) = -5*g(l) + 4*j(l). Determine r(z(i)).\nAnswer: -14*i + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 11, 3\/7, -0.5, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -81*n**2. Let b(v) = 38*v. Give b(j(u)).\nAnswer: -3078*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 - 5*h + 20. Calculate the smallest common multiple of o(-7) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x = 2*x + 9*s - 137, 0 = 5*x - 4*s + 7*s - 64 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 126 + 34 = -2*o - 44, 4*o = -19*h - 304 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3053096 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + v + 72 = 0. Suppose c + 70 = 5*r + 3*c, 0 = 3*r + 4*c - 28. Calculate the greatest common divisor of v and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/7 and -85\/19581632.\nAnswer: 19581632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48757 is divided by 184.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 a when three letters picked without replacement from aaaassaaaaqss?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - y = -20, 16 = -4*h + 2*y - 5*y. Sort h, -6, 0 in descending order.\nAnswer: 0, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-143)\/(-26) + 1\/(-2). Suppose -g + q = 2*u, -5*u - g + 12 = g. Let f be (-3 - (-8 + 4))*u. Solve -17 = -5*k - f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1077682 (base 9) in base 6?\nAnswer: 20255115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of -11*l**7\/70 + 65*l**4\/12 - 37*l**2 - 1. Let w(h) be the second derivative of b(h). Let n(m) = m. Give w(n(t)).\nAnswer: -396*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4682181 * -0.1.\nAnswer: -0.04682181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 53044.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -382652443 divided by 163?\nAnswer: -2347561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -20345 + 20345. Let r(w) be the second derivative of 32*w**2 + m*w**5 + 0*w**3 + 6*w + 0 - 8\/3*w**4 + 2\/15*w**6. Let r(h) = 0. Calculate h.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 8*l**3 - 17*l - 12. Let g be 6 + (-1 - 2) - -3. Let c(v) = -3*v**3 + 6*v + 4. Let m(b) = g*p(b) + 17*c(b). Differentiate m(i) wrt i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-5)\/(a**(-8)*a))**(2\/31))**(1\/33) assuming a is positive.\nAnswer: a**(4\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 30437 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1103*a + 16694*a**3 - 16661*a**3 + 556*a + 547*a.\nAnswer: 33*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 32\/10 - 1\/5. Suppose 4*b + 16 = 4*p, -5 - 11 = -b - l*p. Calculate the smallest common multiple of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**4 - 284*k**3 - 10362*k**2 - 19880*k - 9800.\nAnswer: -2*(k + 1)**2*(k + 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 divided by -2447394?\nAnswer: 10\/1223697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -362*g + 5269. Determine i(13).\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 805*t - 38298 + 13343 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -7.958. Let t = -0.436 - q. Let p = t + 0.44. Round p to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11823, 12101, 12565, 13215, 14051, 15073?\nAnswer: 16281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - 3 - (-3 + -5 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1146, -2300, -3454?\n\"Answer: -1154*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 2, -4, -10, -16, -22?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 71 - 75. Let y = s + 330. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4875657 (base 9) to base 14\nAnswer: 4cd17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*b**3 - 4*b**3 - 24*b + 28*b)*(-2 + 2 + 3) in the form t*b + d + l*b**3 + x*b**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3 + 7*f**2 - 6*f.\nAnswer: -f*(f - 6)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*c**5\/4 - 5*c**4\/2 - 245*c**3\/4 - 35*c**2 + 15*c = 0 for c.\nAnswer: -2, -1, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 720 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4752 and 15552?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-192)\/(-20))\/(-6))\/(-2).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -570*t = -1873*t - 74271 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of 3*i**2\/2 - 6*i + 167. Suppose 0 = 5*c - 5*p - 60, 4*c + 0*c + 3*p - 62 = 0. Suppose -2 + c = 3*j. Determine q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/3 and -163\/57120.\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 8717832717, 8717832720, 8717832725, 8717832732, 8717832741, 8717832752, 8717832765?\n\"Answer: i**2 + 8717832716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -6 - -7) + 1 - 28?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1806 - -9027\/5. What is the nearest to 0.8 in 0, i, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19 - 25) + -1 + -2 + 2 + -5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -866*m**2 + 107*m**2 + 9150*m - 9150*m as y*m + r*m**2 + i and give r.\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 108346 and 426465334.\nAnswer: 15478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -2*(sqrt(8)\/sqrt(4))**2)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1796167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 12, h: 6}. Give prob of picking 4 k.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of -d**8\/20160 + d**7\/720 - d**6\/144 + d**5\/30 - 2*d**2. Let b(t) be the third derivative of o(t). What is b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1285336 divided by -68\nAnswer: 18902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (35292764\/(-39))\/(-46) + 2\/(-3).\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -137720164*s + 87255004.\nAnswer: -137720164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7\/6 + 17\/12. Let f = -3963 - -3967. Which is the nearest to p?  (a) f  (b) -5  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/c**(-21))\/c)**(-40)*c**(-2\/39)*c**16*c assuming c is positive.\nAnswer: c**(-33659\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(-2\/41)*g*g\/(g**(-3\/19)*g) assuming g is positive.\nAnswer: g**(1643\/779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m + 0*m - 3*m**4)*(-79 + 182 - 61)*(-2*m - m + 17*m).\nAnswer: -1764*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 + 38 = -20*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.595953 rounded to two dps?\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16974.\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -47284137*f**3 - 35772090*f**2?\nAnswer: -283704822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**2 + 0*u**2 - 5*u**2)*(-2 + 3 - 3)*(1 + 2*u - 1).\nAnswer: 32*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101000111101001 - -100?\nAnswer: 101000111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1368, -10048, -33596, -79446, -155032, -267788?\nAnswer: -425148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -29*l + 3*l + 52. Solve 0 = l*j - 1 + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (5 + -2 + sqrt(1584) - sqrt(1584))**2 + -2)*-4*-6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + ((-5)\/(15\/(-6)) - -4). Solve -4*o + 5*b + 39 = 13, -3*b - 18 = -p*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14920591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -42 + 239*y + 592*y + 42 to the form o*y + n and give o.\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 32803907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-8)*-818 - 9\/12. Let w = -82 - r. Solve 0 = 4*t - w + 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6683 + 6683. Let k = -0.8 - 3.2. Which is the nearest to 0.1?  (a) k  (b) 0.015  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.248 and 0.091.\nAnswer: -0.022568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 233 - 198. What is the least common multiple of 5 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 6 - 30a7d?\nAnswer: -30a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s - 3. Let p be j(-6). Suppose -10*f + 900 = 8*f. Let k = p + f. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 4*v - 44 = -v, -3*b = -3*v - 84. Suppose 20 = -z + b. Put z, 26, -4 in decreasing order.\nAnswer: 26, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i - 1. Let y(l) = -l**2 - 5*l + 8. Let n(w) = -p(w) - y(w). Let m be n(-5). Is (4\/(-3))\/(m\/6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/4771235 and 89\/44985930.\nAnswer: 314901510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-136692)\/(-7594)*20\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47523, -95046, -142569, -190092, -237615?\nAnswer: -285138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -1. Let i(q) = -3*q - 2. Let s(c) = -1916*c + 3835. Let z be s(2). What is z*i(p) - 6*a(p)?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2034359?\nAnswer: 2034359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6900907541.\nAnswer: 11, 29, 107, 181, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -741.6529 + 741. What is f rounded to 2 dps?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 732245488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + a)*(-4 + 4 - 1)*(14 + 8 - 13) as h*a + l and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kgcjnqqkknkkgngqg. What is prob of picking 2 n and 1 k?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 1183 = -3*k, -k + 401 = r - 0*r. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(156)\/sqrt(48) + sqrt(13) + sqrt(936)\/sqrt(2).\nAnswer: 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -4*a - 49. Let i be q(-11). Sort -1, 3, i in increasing order.\nAnswer: i, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 31.91297 to one dp.\nAnswer: 31.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + t - 2520 + 2531 = 0, 3*r + t = 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.9 - -0.81. Let n = 0.19 + w. What is the nearest to n in -0.3, -3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 4*i + 31. Let x(l) = l + 3. Let c be x(-11). Let m be n(c). Is m at least as big as -2\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43190821.\nAnswer: 397, 108793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.37 + 5.37. Let r = -0.256 + 0.056. What is the closest to l in 1\/8, 4.6, r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1786, -5851, -12634, -22141, -34378?\nAnswer: -49351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 + 12. Let c(d) = d + 79. Is c(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -1.6, -0.04, 2, 4 in decreasing order.\nAnswer: 4, 2, -0.04, -0.2, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.08  (b) 20  (c) 0.4  (d) 0.5  (e) -114.6  (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2482, 4961, 7448, 9943, 12446, 14957, 17476?\n\"Answer: 4*q**2 + 2467*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttt. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7245 < 7252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 389, 858, 1327?\nAnswer: 1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 6, 45, 108, 195, 306?\n\"Answer: 12*d**2 + 3*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3897929 is divided by 649652.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of v**5\/30 + 2*v**2. Suppose -12*s = -27 - 21. Let m(d) = d**3 + 5*d**2. Let j(r) = s*m(r) - 10*i(r). Factor j(q).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*c**4 + 43*c**2 - 3694 wrt c?\nAnswer: -20*c**3 + 86*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/3)\/k)**(-3\/8) assuming k is positive.\nAnswer: k**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*m = 95*m + 15. Let b be (-15)\/m*(0 - (-9)\/(-5)). Solve -3*n - 23 = -5*l + b, 5*n - l + 24 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6 of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 590161?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4136 and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13307 + 26604 - 2*u - 13305.\nAnswer: -2*u - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, w: 2}. What is prob of picking 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*b**5 + 1120*b**4 - 67444*b**3 + 1367256*b**2 - 7178688*b = 0. Calculate b.\nAnswer: 0, 8, 33, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*5\/5*((-1200)\/(-1500))\/(4\/11).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 j when three letters picked without replacement from gkkj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 945*k**2 - 2*k - 7. Let s(u) = u**2 + u + 4. Calculate 2*s(w) + x(w).\nAnswer: 947*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 158, 0.5, -2, 1, -1, -15\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 40 = -15*c + 10*c, 2*c + 5*j + 33 = 0. Let g(k) = k**2 + 3*k. Give g(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20127940 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 25 = -4*a, 151 = 5*a + k + 146 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83688880?\nAnswer: 2, 5, 11, 95101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 568.3854119 - 568.39. Round w to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*y + 216 = 78*y. Let x(s) be the first derivative of 1 + 8*s**4 + 0*s + 0*s**y + 32\/3*s**3. Find the third derivative of x(j) wrt j.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 151985139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 951 - 281. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4*1 + 0\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -191.4 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, q: 7, b: 3}. Give prob of picking 3 q.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 506 and 13790194.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/4 and 77\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 + 8*c**2 + 5*c. Let z be n(-7). Let y be z\/4*(-4)\/(-7). Let m be 4\/4*(y + -3)\/(-1). Sort -3, 0, m, -11.\nAnswer: -11, -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -42211*i**5 + 10*i**3*l + 7*i*l + 3*i - 2*l + 80142 wrt i.\nAnswer: -844220*i**3 + 60*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 87.991 + -88. Let v = m - -0.009. Which is the closest to 0?  (a) v  (b) 5  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-6)*118104\/148. Which is the biggest value?  (a) z  (b) -2\/5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 2205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 13*r - 9. Let n(l) = l**2 - 7*l + 13. Let y be n(6). Let o be g(y). Suppose 0 = 4*d - 5*c - 328, 4*d + o = 5*d + 4*c. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 12187, 12192, 12199, 12208, 12219?\n\"Answer: p**2 + 2*p + 12184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(5) + 0 - sqrt(5))**2*6 + 4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from mmmsmmmsmmmmms?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 27\/2*(-4)\/(-3). Suppose -2*q = -4*q + 26. Let a = q + r. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14\/(-35))\/((14490\/(-92))\/63*1776\/(-75)).\nAnswer: -1\/148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -183.6 * -5.1.\nAnswer: 936.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3334 - 13337\/4. Let g be (-4 + (-74)\/(-20))*-2 + 0. What is the third biggest value in 0.4, w, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 123108396 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*k**2 + 3*k**2 + 2*k - 5*k + k to the form s*k**2 + n + i*k and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-4 + 237\/30)*3 and (-2)\/(-8) + (-247)\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1404671 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6022786 divided by 539?\nAnswer: -11174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 13 and 26408.49.\nAnswer: 26421.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 11:53 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6856194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, r: 5, v: 3}. Give prob of sequence rwvr.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 580 and 40.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 280 - 228. Let y = 1 - x. Which is greater: 0.1 or y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 272 (base 8) in base 7?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjwjzwzjwjzrjjjjjjw. What is prob of picking 3 j?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 6. Suppose -36 = -4*z - a, 2*a = 2*z - 17 - u. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7401 + -7327. Which is the nearest to -1\/4?  (a) i  (b) 0  (c) 3  (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14\/((-2660)\/(-19))*4060\/14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of 1\/3*u**3 + 18*u - 10*u**2 + 41. What is j(19)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16935 plus 5?\nAnswer: 16940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -53.211 - -0.111. Let a = u - -49.67. Let g = a - -17.53. Round g to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -136*i**2 + 277*i**2 - 139*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1401 = -4*v + 939. Calculate the remainder when 36 is divided by (v\/(-30))\/(3\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*k + 14*k - 3048 = -96*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -266, -279, -300, -329, -366, -411, -464?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 + (-520)\/115)\/(-1). Let m = b - 623\/92. Calculate the common denominator of m and ((-19)\/(-12))\/(81\/(-216)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hihlchrhch. Give prob of picking 1 l and 1 h.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**4 - w**4 + 2*w**4)*(31*w - 3*w - 5*w) - 3 - 15 + 5 + 4*w**5 + w + (-3*w**4 - 3*w**4 + 4*w**4)*(0 + w + 0).\nAnswer: 48*w**5 + w - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 87632760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q - 2*q + 18. Let x(n) = -75*n + 1772. Let z be x(20). Suppose q*f - 124 - z = 0. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6640, -12962, -19284, -25606, -31928, -38250?\n\"Answer: -6322*k - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-16))\/(99\/(-330))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 6, e: 3, i: 5, y: 1, n: 3}. What is prob of picking 3 n?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 2, 3*h - 2*g + 2560 = 51608. List the prime factors of h.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-5)*a\/a**40)**15 assuming a is positive.\nAnswer: a**(-660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.02 in 0.5, 404.4, -0.205?\nAnswer: -0.205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 1.4, -2, 1, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 335*-841086\nAnswer: -281763810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 129 + -126. Suppose -4*c + 5 = -t*x - 21, -3*c = x - 13. Is (-25 - -1)\/((-2)\/c) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i - 2619. Let q(c) = c - 2612. Calculate 4*b(t) - 5*q(t).\nAnswer: -t + 2584","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m + 2*m**2 - 4*m + 5*m. Let w(p) = p**2. Calculate w(v(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 31203 - -13?\nAnswer: 31216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 - 231\/(-189).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (6 - (-186)\/10)\/((-2)\/(-10)).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 419153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18?  (a) -691  (b) -2.6  (c) -2  (d) -5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 2 - -4 - 0 - 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n**2. Let u(j) = 4. Let s(w) = -2*w**2. Let f(k) = 2*s(k) + u(k). What is f(a(c))?\nAnswer: -16*c**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + 16*n**2 + 17*n + 34. Let g be f(-15). Let i be (0 + (0 - -2))*-1. What is the third smallest value in g, i, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -77.4 in 2\/9, -0.4, -17, 1\/15?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 17884, -6 in ascending order.\nAnswer: -6, 4, 17884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-8\/7))**34 assuming y is positive.\nAnswer: y**(-272\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3098918536.\nAnswer: 2, 7, 4001, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6375.454 micrograms to tonnes.\nAnswer: 0.000000006375454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 3*g**3 - 2*g**2 + 5*g - 4. Calculate n(3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fmfmmrsswm. What is prob of picking 1 f and 1 w?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.22, 1.1, -5, -3 in descending order.\nAnswer: 1.1, 0.22, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1216 - 2506. Let g = -454 - s. Does 44 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 11:14 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 - 17. Let g(w) = -2*w**2. Determine y(g(q)).\nAnswer: 4*q**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -16054, -26894, -44960, -70252?\n\"Answer: -3613*j**2 - j - 12440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41\/3, -14, 23 in ascending order.\nAnswer: -14, 41\/3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.037134 rounded to two decimal places?\nAnswer: 4.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -193661784 + 193661784 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -10*a**2 - 11. Let w = 1 - 0. Let o(r) = -r**2 + 0*r**2 + w - 2. Suppose 3*b = 5*b + 4. Determine b*l(m) + 22*o(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 2:14 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -m**2\/2 + 3. Let n(o) = -o**2 + 2*o + 2. Let h(i) = -6*j(i) - 2*n(i). Factor h(x).\nAnswer: 2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1189617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3493, 3893, 4571, 5533, 6785?\n\"Answer: i**3 + 133*i**2 - 6*i + 3365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1002)\/(-27) - (-7)\/(-63)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2647\/3 + 857. Let c = -7 + 4. Let x = c + 0. Find the common denominator of p and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 467600 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 0 + 0)*(3 - 3*r - 3) - 2*r + 4*r - 4*r)*(-6*r + 3*r + 4*r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -34 - (57 + -19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 - 3*u**2 - u. Let z be x(3). What are the prime factors of (0\/z - -2) + 16?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z - 4. Let i be u(-8). Suppose i*c + q = -1 - 6, 3*q = 3*c - 6. Let h be (2 + c)\/(-3 - 0). Put h, -5, 5 in descending order.\nAnswer: 5, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 AM and 7:34 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-2)\/(-7) - 535*1056\/(-280) and 10.\nAnswer: 10090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(567) + 4 + -1 + sqrt(567) + -5 + sqrt(567) + -3)**2)*-1 + 4.\nAnswer: -5119 + 270*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 71 + -72. Let w = y - -1.68. Let z = w + -0.67635. Round z to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/5, 3, 11180, -4\/7 in increasing order.\nAnswer: -4\/7, 1\/5, 3, 11180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 2 - 10 = 0. Let j be -1*(5 + 2\/(-1)). Let x = 5 + j. What is the least common multiple of v and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -2.6. Let q = -20 - -21. Let n = -1.95 + -0.05. Which is the closest to q?  (a) w  (b) n  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9589 by 12.\nAnswer: 9589\/12","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of y**6\/80 - y**5\/120 + y**4\/24 - y**2. Let c(q) be the second derivative of l(q). Let b = -23 - -22. Determine c(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -11*u - 26. Let l be z(-9). Is l bigger than 74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + 8. Let w = 14 - b. Sort w, 0, 3.\nAnswer: w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + (846\/(-84))\/(-1).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 AM and 12:26 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22.18 - 19.28. Is 117 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 5*m**3 - 19*m**2 - m - 3. Let k(w) = 5*w**3 - 22*w**2 - 3*w - 4. Let l(i) = -3*k(i) + 4*p(i). Suppose l(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 442196 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 49 = -2*y, 0 = 411587*q - 411588*q + 4*y - 1 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0311 rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 - 0.9. Let i = 1 - g. Let z be (3\/(-6))\/(8\/(-6)). What is the nearest to -0.1 in 2\/3, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7059 - -7059.4. Which is the smallest value?  (a) 0.35  (b) -2\/9  (c) -0.2  (d) -24\/7  (e) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 3*a - 1018, 5*a = 2*y - y - 198. Suppose -3*o + y = 4*o. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 168.924 take away 3?\nAnswer: 165.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1.4 * 201.4\nAnswer: -281.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1551 and 214.924?\nAnswer: -333347.124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/60104, 32, 1\/3 in increasing order.\nAnswer: 1\/60104, 1\/3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -37967 - -38046. Suppose -f = -0*f - 2*n - 46, -130 = -3*f + 2*n. What is the remainder when q is divided by f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -s**2 + 6*s**2 + 2*s**3 - 2*s**3 + 12*s**4 wrt s.\nAnswer: 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -2.9. Let k = 1856.3 + -1856.1. What is the second smallest value in k, -0.2, v, 0.05?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.28894279 and 0.09.\nAnswer: -0.0260048511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -842 (base 10) to base 6.\nAnswer: -3522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5407669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of b**6\/40 - 3*b**4\/8 - b**3 + 6*b**2. Determine w so that k(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - n = 1, 0 = k + 61*n - 31*n - 28*n - 13 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -183614672, -734458687, -1652532046, -2937834749, -4590366796?\nAnswer: -6610128187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/49*2\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 909 and 4203.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5922297 is divided by 81120?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 139 and 19321?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssssjsj. Give prob of sequence ssj.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 - 5\/(15\/(-24)). Let c(g) = -g**3 - 2*g**2 - g + 2. Let o be c(-2). Suppose o*i - 25 - 71 = 0. What is the greatest common factor of i and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zuuwwwzfwuz. Give prob of sequence uf.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6440 by 140.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17776*c = 17770*c + 42 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 949*q - 32 = 942*q, 2*q = -x - 2*q - 31 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, y: 1, i: 3}. Give prob of sequence ypii.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -344594, -344597, -344606, -344621, -344642, -344669, -344702?\nAnswer: -344741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 247\/9700 - 3\/194. Let p(y) be the third derivative of 16*y**2 + h*y**5 - 1\/350*y**7 + 1\/200*y**6 + 0*y**3 + 0*y - 1\/40*y**4 + 0. Solve p(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12499, -4, -18.\nAnswer: -12499, -18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 275607694051303 - -4.\nAnswer: 275607694051307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4*1*(1 - -1). Let p(t) = t**3 + 9*t**2 - 5*t - 35. Let l be p(-9). Is a at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 4*d = -0*j - 136, 9*d - 28 = 13*d. Suppose -25 = -2*v + 3. What is the remainder when j is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mqm when three letters picked without replacement from ymmmmmmmymmmqm?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = -4*b - 5*v, -5*v + 30 = -16*b + 17*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.25 + -6.2. Let z = i + 6.42. Which is the biggest value?  (a) 2  (b) -5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1811*a**5 - 11*a**2 - 335*a + 16?\nAnswer: -36220*a**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -105791271\/428 - -247176. Find the common denominator of (-6)\/(-7) - (7658\/588 + 1) and o.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 1559*u + 3879. Determine n(-2).\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 267862 divided by -106.\nAnswer: -2527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = y - 0*q - 32, 4*y + 4*q - 32 = 0. Suppose 4*n - n = y. Let x(g) = -g - 5. Let t(w) = -w - 5. Let s(z) = -4*t(z) + 5*x(z). Calculate s(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 392245882*v**3 - 2025366*v**2 + 3486*v - 2 = 0.\nAnswer: 1\/581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 7 = 4*r - 10, -2*l + 5*r + 8 = 0. Let h = -1 + l. Calculate the remainder when 14 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26352 (base 8) in base 16?\nAnswer: -2cea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 687 - 341 - 346 + 5*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + ((sqrt(242)*-1)**2 - sqrt(242)) + sqrt(242))*-3 - ((sqrt(242) + -4 + sqrt(242) + -1)**2 - sqrt(242) - (sqrt(242) + 1 + 3)))*5.\nAnswer: -8650 + 1210*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1169 - -1174. Solve -u - 14 = -z*p, 0*u + 3*u = p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3519 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 1 = -9. Let n(m) be the second derivative of -m**5\/20 + m**4\/12 + 2*m**3\/3 - 3*m**2\/2 + 26*m. What is n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2*j = -6*j + 38, -5*n = -5*j - 65. Let x be (-1)\/(n\/(-4) + 4). Let r(a) = -a**3 + 3*a**2 - a + 1. Let u be r(3). Put u, x, 2 in increasing order.\nAnswer: x, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/168 and 151\/36.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b*(b\/b**(1\/2))\/b*b*b)\/b))**13\/(b**4\/b*b*b**(-1)))\/((b*b**(-2\/5))\/b**(-4\/3))**23 assuming b is positive.\nAnswer: b**(-1619\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 7*g - 12. Let i(c) = -8*c + 11. Let u(m) = -6*i(m) - 5*q(m). Let f(r) = -77*r + 35. What is 6*f(d) + 35*u(d)?\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*q = 67*q + 84. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3509354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(175) + (3*sqrt(175)*5)**2 + sqrt(175))*1 + 3)*6 + 5.\nAnswer: 60*sqrt(7) + 236273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -9980 from 5590.\nAnswer: 15570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -8, -190, -370, -548?\n\"Answer: v**2 - 185*v + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**4 - 390*x**3 + 9408*x**2 + 4802*x.\nAnswer: 2*x*(x - 49)**2*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t**2 + 2*t - 6. Let v(i) = 2*i**2 - 2*i + 7. Let w(k) = 6*s(k) + 5*v(k). What is w(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 37 + 5. Let j = -659 - -665. Calculate the smallest common multiple of u and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 26*v - 21*v - 3458, 4*p = -24. Solve -691*c + v*c = 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.0735 + 0.0735. Are 81 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-8) + -1 + (-270)\/(-40). Let q be (-6)\/((-54)\/198*4\/d). Calculate the highest common divisor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c2 - -2018?\nAnswer: 1c26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*g - l + 562986 = -14*g, -2*g = 4*l - 562998. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1869, -15003, -50621, -119955, -234237?\n\"Answer: -1872*y**3 - 10*y**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1730 - -1825. What is the remainder when 2273 is divided by q?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of -9*b + b**2 + 1 - 11\/12*b**4 - 1\/20*b**5 + 0*b**3. What is y(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2909407 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 + 3*a**2 + 3*a + 5. Suppose -7 = 3*p - 19. Let u be f(p). Let k = 262 + -2623\/10. Is k smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 9 - -40b7?\nAnswer: 40c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - (-2146)\/(-6))*3351. What is x rounded to the nearest ten thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-125)*-5*30\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 659279?\nAnswer: 659279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -h + 5, 2*l = 5*h + 3*l - 36. Let n(m) = -4*m**3 - 2*m**2 + 1. Let z(q) = -9*q**3 - 5*q**2 + 3. Calculate h*n(k) - 3*z(k).\nAnswer: -k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzlzzlzzz. What is prob of picking 2 l?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 + (48 + 2 - -30).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1331 - -1353. What is the least common multiple of 192 and p?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1036153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -46*z - 1044. Calculate k(-22).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -10*x**2 - 11*x + 10. Let z(i) = -4 + 3 + i - 9*i**2 + 10*i**2. Calculate -2*j(c) - 22*z(c).\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l. Let b(x) = -777*x - 1. Give c(b(q)).\nAnswer: -777*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.393 times 284.5\nAnswer: 111.8085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**3\/7 - 275*m**2\/7 - 19043*m\/7 - 18769\/7.\nAnswer: -(m + 1)*(m + 137)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxhxxhxhxhh. What is prob of picking 4 h?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 5)*(2 + 1 - 5 + (0 + 1 + 0)*(1 + 3 - 5) - 2 + 1 + 2 - 3 + 4 - 2)*(3*x - 3*x - 7*x) + (5*x - x - 2*x)*(1 + 0 + 0).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 - 3. Let w be 81 - (-3)\/(x - -3). What is w rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 8*f = -580. Let n = f + -94. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 49*h**2 + 496*h + 63. Let p be l(-10). Suppose q = -3*q. Solve -13*c + p*c = q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 375.427 - 1461118.\nAnswer: -1460742.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0044830482 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 74676.02t to grams.\nAnswer: 74676020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 + 2 + 3)\/((-130)\/(-4290)). Suppose -i + 3*n - 25 = 7*n, 0 = -i - 5*n - 23. Let l = i + v. Solve l*q - 12 = -4*q + d, 20 = -5*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (16\/(-28))\/((-4)\/70). Suppose 2*o = -2*n - 0*o + 74, -5*n + 185 = 4*o. Let g = n + -2. Solve d = 5*f + g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -546*z - 1468*z - 120835 = -155*z for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -30.6 + 30.749. Let j = -0.384 - g. Round j to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1973?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/6  (b) 51.2  (c) -1\/3  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 31\/5 of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 4)*(-4 + 4 + z**2) + 2*z - 2*z + z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-8))\/(99\/22)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 320606 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of s**8\/2520 - s**7\/756 + s**6\/1080 - 2*s**4 - 3*s**2\/2 - 121*s. Let w(z) be the third derivative of k(z). Factor w(l).\nAnswer: 2*l*(l - 1)*(4*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-7 - -6 - 3 - 12) - -6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 + 32 + -1 + -38?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 50909039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 311*q + 1 = 312*q, -3*q = -5*o + 71012. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -12. Let u = l + -5. Let f = 84 + -82. Is f != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15.99462 + 0.00538. Sort 0.2, q, 160, 1\/6.\nAnswer: 1\/6, 0.2, q, 160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 22747*k*q + 20*k + 2640928*q + 2 wrt k.\nAnswer: 22747*q + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and 915469.\nAnswer: 915468.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/1501 - -43509\/30020. Let y(f) = -6*f - 20. Let g be y(-5). Calculate the common denominator of r and 4\/g*(1435\/56 - -10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.013561 to four decimal places.\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g**4\/2 - 78*g**3 + 216*g**2 + 35448*g + 297528 = 0. What is g?\nAnswer: -46, -14, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/20 and 83\/135?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -527 (base 9) in base 5?\nAnswer: -3210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -110343 - -1?\nAnswer: -110342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -12*l + 1. Let m be b(-1). Let u = 781 + -778. Let y be 121 - (u - 1)\/((-9)\/(-18)). Calculate the highest common divisor of m and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4884619487.\nAnswer: 11, 17863, 24859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4819 or 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -198, 1, -2, 0, -5, -247 in descending order.\nAnswer: 1, 0, -2, -5, -198, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -2, 0.0525, 17, -4 in ascending order.\nAnswer: -4, -2, 0.0525, 0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pntapaupupu. Give prob of sequence aun.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 65986 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -5, 5, -2, 1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-36)\/(-3))\/4 + -6. Let m be 6*(1 + 1\/i). Suppose m*r - 39 = 69. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 62  (b) 56485  (c) -0.3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*z**2 + 4*z**2 - 16*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 + 10*d - 4. What is i(4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15592794 is divided by 3084?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/63143 - 23931185\/378858. Let l = h + 63. Let y = -0.156 - 0.844. What is the second biggest value in l, y, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2 and 31238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 4*i - 60, 2*b - 14 - 36 = 2*i. Let r be (8\/2)\/b + (-1360002)\/10. Round r to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.031868323261139 + -5\nAnswer: -5.031868323261139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6903 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-1 - 1) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-14))\/(15\/(-10))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, -9, -0.145, -2, 3, 2.6, -0.3?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -115, 6, -37 in descending order.\nAnswer: 6, -37, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3403*d - 25 - 108 - 190. Let o be b(41). What is o rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 AM and 3:52 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -75510788 divided by 6782?\nAnswer: -11134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(325)*-1 + -2)**2 + 0 + (sqrt(325)*3 + 5 + (sqrt(325) - (sqrt(325)*-1 + 3)))**2.\nAnswer: 130*sqrt(13) + 8463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 8989758, 17979517, 26969276, 35959035, 44948794, 53938553?\n\"Answer: 8989759*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 321*o**2 - 154*o**2 - 162*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 1264*a**2. Let h(q) = 548935 + q**2 - 548935. Calculate m(h(r)).\nAnswer: 1264*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) -2\/15  (b) -4  (c) -209  (d) -4846\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 8969101, 8969110, 8969141, 8969206, 8969317, 8969486?\n\"Answer: 2*i**3 - i**2 - 2*i + 8969102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 7*l - 8 = -6*l, -z = -4*l - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1123, 716, 0, 1 in descending order.\nAnswer: 1123, 716, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-13085)\/10)\/1*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6\/7  (b) -8\/25  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-334)\/(-56) - ((-2016)\/(-14784))\/((-126)\/33) - 30.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 + 25*(-516)\/(-30) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1203211 (base 4) in base 14?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3179022 to the power of 1\/2, to the nearest integer?\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 292, 3, 4, 5, -1 in descending order.\nAnswer: 292, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/826 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -4. Suppose 0 = -i*g - 2*g. Suppose g = n - 19 - 1. Is n 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 0.3 in 0.1, 5, -58?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -40.9 - 11.1. Let g = m - -52.000057. What is g rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 19017.007667 + -19017. Round j to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 9 - 9 + (4 - 3 + 0)*(-1 + 0 + 2) - 2 + 4 - 3)*(-2*n**3 + n**3 + 4*n**3) in the form u*n**3 + o*n**2 + v + i*n and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -29*d**4 + 2*d**2 + 12*d**4 + 20*d**4 - 4 to m*d**2 + n*d + o*d**4 + r + c*d**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (252\/(-1377)*-17)\/((-2)\/(-9))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32120 is divided by 530.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 6:21 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -83173, -83170, -83167, -83164, -83161, -83158?\nAnswer: -83155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*b + 31*s + 44*s - 73*s + 120 = 0, 5*b + s = 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1661 or -1660?\nAnswer: -1661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -77749928.\nAnswer: 5\/77749928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -189*z**5 + 5514*z**4 + 10767*z**3 - 2220*z**2 - 372*z = 0. Calculate z.\nAnswer: -2, -1\/9, 0, 2\/7, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 + -10. Calculate the greatest common divisor of 27 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-104)\/24 + 157\/39\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + -8 - (9 - (-6 + 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + (-3)\/3 - -95. Let j = h + -88. Let c(v) = 2*v + 2. Calculate c(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 4, 0.4, -17.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(9\/(-21)) + 1628\/220. What is the closest to -2\/3 in a, -5\/7, 1\/2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 488773031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 7. Suppose q*m - 12 = -3*r, 5*m - 26 = -4*r - 10. Differentiate 4*u**4 + 0*u**4 - r + 1 wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, r: 5, x: 6, w: 1, n: 2, f: 1}. Give prob of sequence xkfn.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -3*k - 1. Let v be t(-1). Let j = 25 + -22. Suppose -3*f + 279 = -j*y, -5*f - 3*y + 415 = v*y. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i + 2*i**2 - 7*i + 2 + 3*i)*(-3*i**3 + 4*i**3 + i**3).\nAnswer: 4*i**5 - 2*i**4 + 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1754935, -3509765, -5264595, -7019425, -8774255, -10529085?\n\"Answer: -1754830*d - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 40*w**3 - 2*w**2 - 23*w + 56. Calculate the least common multiple of y(4) and 3115.\nAnswer: 12460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2\/17 + 5536*t\/17 - 158862\/17 = 0 for t.\nAnswer: 29, 2739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 441 is divided by 198.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 39582 - -45714. What are the prime factors of p?\nAnswer: 2, 3, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 3*y**2 + 20*y - 3. Determine c(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 1666 = -2*l - 2745, 5*l + 2948 = 2*g. Let p = g - 1484. Let o(r) be the second derivative of r**3\/6 + 17*r**2\/2 - r. Give o(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 14. Let t = 13 + -10. Solve -5*g + t*w + 12 = 0, 0 = 2*g - n*w - 11 - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.71 - 0.21. Let t = u - 0.3. What is the third biggest value in t, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-504)\/(-104) - 4\/(-26). Suppose -4*x - b - v = -9*x, 4*b = x + 18. Suppose 0 = -x*k, -3*s + 0*s = -2*k - 6. Solve -2*n - s = 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 128\/211  (b) 6  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*a**2 + 17*a**2 - 3*a**2 - 5*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*k + 80604 = 2*g, 1075*k + 9 = 1078*k. What are the prime factors of g?\nAnswer: 3, 13, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(13\/(-13))\/(3\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 130, 121, 96, 49, -26, -135, -284, -479?\n\"Answer: -v**3 - 2*v**2 + 4*v + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 1, -1\/5, -2, 22381\/29, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -5*z + 407. Is j(3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 2*p**2 + 3. Suppose -160 = 2*x - 5*h, -2*x - 123 - 35 = -4*h. Let o = x - -78. Give g(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2265 - -2274 - (98 + 1 - 0)) + 6 - -8?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or -31.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 24, 0.04, -2\/7369, 3?\nAnswer: -2\/7369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iuuo when four letters picked without replacement from uouoououioooouuuoo.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 55 by -9.\nAnswer: -55\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z**3 + 0*z**3 - 4*z**3)*(-556 - 44 + 2511 + 1201).\nAnswer: -3112*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3313213 (base 4) to base 2\nAnswer: -11110111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -526 - -526. Solve o = -48*n + 38*n + 30 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 413 + 13?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-14)*4)\/(51\/119).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -330 + 1513 = 91*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l + 3 - 11 - l + l. Let t be w(6). Is (0 - 1\/t)*-92 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, h: 1, e: 1}. What is prob of picking 1 k and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 + 6. Let m(c) = -5*c**2 + 5*c - 10. Let y(t) = -3*t**2 + 4*t - 9. Let l(h) = -2*m(h) + 3*y(h). Give l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2263)\/(-12)*(-68)\/(-3). Let r = q - 4267. Calculate the common denominator of r and -1 - (256\/(-6))\/2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 342 = -2*c, -5*t + 805 = 162*c - 157*c. What is the remainder when 648 is divided by t?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 54948 and 734730.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jfjfjjjfjjjjjj?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert bf9 (base 16) to base 5.\nAnswer: 44230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, 5, 6.\nAnswer: 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 210126.\nAnswer: 2, 3, 7, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 106435 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -7*m**2 - 10*m - 1. Calculate w(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -237*g**2*k**3 - 1676*g**2*k**2 + k**4 wrt k.\nAnswer: -1422*g**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*i - 107215 = -25*i. What are the prime factors of i?\nAnswer: 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -82*(-16)\/(-56) + -97 + 117\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - -3 - 3 - (-24 + 21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1871063 or 1871065?\nAnswer: 1871063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t + 6*t. Suppose -f + t*x - 15 = 4*x, x = 5*f - 9. Which is the closest to -2\/5?  (a) -2\/5  (b) f  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 517 is divided by 86.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*g - g - 70 + 35 + 35.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3*((-2)\/1)\/((-60)\/10). Which is the second smallest value?  (a) -3  (b) 5  (c) n  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -47 - -59. Which is the second biggest value?  (a) 1  (b) q  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/13*8\/(-40).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10e (base 15) in base 11?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -232143.10393 - -15262597320.10393. Let q = h + -15262365240.00000041. Let g = q - -63. What is g rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 3*u)*(0 + 1 + 60).\nAnswer: -183*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -10. Suppose 0 = -3*h + r + 10, -10 = 2*r - u. Suppose -v - 2*v**3 + v**2 - 3*v - 3*v**2 + 8*v**h = 0. Calculate v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11178 is divided by 791.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w**3 + 51*w - 176*w - 377 + w**2 + 8*w**2 + 377.\nAnswer: 2*w**3 + 9*w**2 - 125*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 269*p**3 + 7*p**2 - 8?\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 108\/(-162) + 166\/6. Suppose h = -11*f + 148. Solve 4*g = 5*q + 30 + f, -3*q - 3*g - 3 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 9*f - 113. Calculate c(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -917.8  (b) -6\/7  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -101 - -142. Suppose 8*d = -v + 9. Sort -1, 8, d, -2\/7 in ascending order.\nAnswer: d, -1, -2\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.26 + 1.38. Let y = 0.05 + 0.07. Let r = m - y. Which is the second smallest value?  (a) 2\/3  (b) r  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 7:50 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-60) - (-7 + -1)\/(-32).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, -702.\nAnswer: -702, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3422 - -3419. Sort c, -4, -1, 1\/16 in descending order.\nAnswer: 1\/16, -1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 2. Let t = 17 - 25. Let o = j + t. Sort 3\/2, 5, o in decreasing order.\nAnswer: 5, 3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -833718 (base 12) in base 3?\nAnswer: -10212121112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/5, -0.5, -2\/207, 34, 0.5, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1664 divided by -5046?\nAnswer: -832\/2523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/876 and -74\/370209.\nAnswer: 108101028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 66 and 6963?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*x - 20055 - 418845 = 0. Is x at most as big as 11550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4057 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d + 13 = -15*d. Suppose 0 = 18*q - d*q - 80. Which is bigger: q or 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q**3 + 3*q**3 + 3*q**3 + 3*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - v = -2*v - 26, 32 = 5*n - v. Suppose 5*i = -p + 2 - 0, 0 = -3*p + 3*i + n. Solve -5*t - 30 = p*k, -5*t + k - 5 = -2*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**4 + 18*j**3 + 36*j**2 - 114*j + 63.\nAnswer: -3*(j - 7)*(j - 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**(-2\/19))\/(w*w\/(w*w**(-2\/15))))**(-37))**44 assuming w is positive.\nAnswer: w**(110704\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 4) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 greater than or equal to 29723024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) -1.7  (c) 2\/11  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -58*r + 453. Let v(j) = -59*j + 457. Let n(c) = -6*d(c) + 5*v(c). Let b be n(7). Which is bigger: -59 or b?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -69*n**3 - 4*n**2 + 65*n - 4. Let w(z) = 140*z**3 + 9*z**2 - 131*z + 9. Let j(u) = 9*l(u) + 4*w(u). What is the second derivative of j(b) wrt b?\nAnswer: -366*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2+-1.543\nAnswer: -1.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -18 - 21*x**2 - 39*x + 1 + 10 - x**3. Calculate the remainder when 142 is divided by a(-19).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p + 5*p + 13 = -2*m, m + 14 = 3*p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (38\/6 + -5)\/((-4)\/30). Let w(k) = -1 + k**2 + 11 + 10*k - 4 - 7 - 5. Determine w(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of 5*u**3\/6 - u + 20. Let h(s) be the first derivative of -s**3\/3 - 2. Determine b(h(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/20 and 13\/966.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - 44 - ((-380)\/48 + (-10)\/120).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**3 - 2*o**2 + o - 6. Let h be c(-3). Suppose h = -5*n + 5*x - 5, -n - 5 = 3*n - 5*x. Let z be -42 - n*2\/(-6). Are z and -83\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 5*m + 3. Let d(b) = -4*b - 3. Let z(v) = -3*d(v) - 4*g(v). Let x(w) = -25*w. What is x(z(h))?\nAnswer: 200*h + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of -1\/5*f**5 + 2*f**2 + 5\/4*f**4 - 8\/3*f**3 + 0*f + 58. Suppose h(i) = 0. What is i?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.148 - -185.348. Let l = -184 + x. Let z = -21\/4 - -19\/4. Which is the nearest to l?  (a) z  (b) 1\/10  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 7*m - 5*a + 18, m = 3*a - 8. Let h be 3280\/368 - m\/23. Let t(u) = u**3 - 8*u**2 - 11*u + 10. Calculate t(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -27 - 18) + (2 - 4) - 71?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + -3)*-13 - -2. Suppose d = -3*b + 13 + 3, -3*d = a. Let w(k) be the third derivative of -k**6\/120 + k**5\/10 + 7*k**4\/24 + 7*k**2. Give w(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + n**2 - n + 1. Suppose 0 = 3*c - h - 10, 7*h = 5*c + 4*h - 22. Let v be f(c). Let z be (v + -5)*(-1)\/(-2). Solve 6*w + z = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1053 + 1?\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 19169850.56 to the nearest 10000.\nAnswer: 19170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 903 and 55750016?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 831522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 take away 1662705994?\nAnswer: -1662705993.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1113*u**3 + 944 wrt u?\nAnswer: -3339*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.4486654 milliseconds?\nAnswer: 0.0004486654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -417*t + 403*t + 75572 = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12022523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5262 and 4436?\nAnswer: 11671116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-644)\/(-80) - (-20)\/(-400). Which is the fourth biggest value?  (a) -2\/5  (b) 4  (c) -0.41  (d) r  (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**2*r**5 - 18*b**2*r**2 - 192*b**2*r + b*r**2 - 2*r wrt r.\nAnswer: -40*b**2*r**3 - 36*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -11*13\/(-286)*(-62 - 4)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10274 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*p - 730*p + 876*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0566 - 0.05660429. Round s to 7 dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g**2\/g*g))**(3\/23) assuming g is positive.\nAnswer: g**(-3\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5786\/(-6312))\/((-22)\/(-78)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 2*s = -1, -5*s - 6 = -2*i - 3. Let v = 5 - i. Suppose 0 = -2*l - v, 3*p + l + 2*l = -3. What is the lowest common multiple of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 9:08 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 142897, 285803, 428727, 571675, 714653, 857667?\n\"Answer: a**3 + 3*a**2 + 142890*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -11*t - 169. Let x be s(-29). Suppose 3*o = 6*o + x. Which is smaller: o or -46?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -16*t**2 - 5*t + 5. What is y(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 1206 = n - 0*c + 1172, 20*n = -4*c + 120 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -3, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 + 15*l**3 + (-3*l + l - 3*l)*(5*l**2 - 4*l**2 + 0*l**2).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 12:10 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 4*r + 14. Let d be x(1). Suppose -2*c = q - 4*q + 3, -2*c = 4*q - d. Solve -9 = c*a - 0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3283, 12359, 27471, 48613, 75779, 108963?\n\"Answer: -n**3 + 3024*n**2 + 11*n + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2.336 + -1.036. Let u be (20\/(-5))\/2 + 2. Which is the nearest to -1\/2?  (a) -0.3  (b) n  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-6)\/(-9)*18\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -131\/40788 and -139\/56650?\nAnswer: 1019700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, x: 1, b: 1, u: 2, y: 1, r: 1}. What is prob of picking 1 r, 1 x, and 1 y?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(242) - -5*(sqrt(242)*-2 - sqrt(242)))**2.\nAnswer: 47432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 24 - 4323264?\nAnswer: -4323240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 - 17*l - 12. What are the prime factors of y(22)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18 and 3330.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -5*d**5 - 11190*d**4 + 502750*d**3 + 1620000*d**2 - 502745*d - 1608810 = 0?\nAnswer: -2282, -3, -1, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166495*b + 83247*b + 11*b**2 + 83248*b.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -468 + 2644 = -136*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -28*f + 32. Let s(a) = a**2 - 83*a + 97. Let o(g) = 11*i(g) - 4*s(g). Factor o(q).\nAnswer: -4*(q - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4558413 to the nearest integer?\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4068.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -590280 + 4?\nAnswer: -590277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1538.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*k + 158*r - 161*r + 43, 10*k + r - 41 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -5255000 rounded to the nearest 100000?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 72568 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 6*v**2 - 12*v - 75. Let y be n(-6). Suppose 0 = -3*z + 5 + 10. Suppose 20 = w + 5*b, -z*w - b - 7 = 13. Sort y, -1, w in descending order.\nAnswer: -1, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -188 - -1694\/9. Let c = 22.85 - 1.35. Let b = c - 22. Sort -2\/15, k, b in decreasing order.\nAnswer: k, -2\/15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.6 + 0.1. Let u = -14.8 + 15.3. Sort -0.08, 1, u, y in increasing order.\nAnswer: y, -0.08, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11568000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 572549856.\nAnswer: 2, 3, 23, 349, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -79787 (base 15) to base 9\nAnswer: -648101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 2*x - 28*x - 1498 = -43*x for x.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -63 + 60. Let a(h) = -h. Let o(i) = -i**2 - 3*i - 1. Determine t*a(n) + o(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10.9 + 15.9. Which is the third smallest value?  (a) 2\/17  (b) t  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35 = 57482*t - 57487*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -69 - -133\/2. Suppose 4*h - 13 = k, 3*k + 4 = 3*h - 8. Let l be 4\/10 + 13\/(-20). What is the nearest to 2\/7 in l, h, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9720680 rounded to the nearest one hundred thousand?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**2 - 20119310*g - 20239331743805.\nAnswer: -5*(g + 2011931)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 3 = 3*l. Suppose 2*z = -1 + l. Let q = 0 + 3. Solve -c + z = -q*o, 0 = o - 4*o + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 425*x - 2*x**2 - 41*x + 3*x - 139*x + 0 to r*x + o*x**2 + h and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = 3*b + r - 22, -16 = -5*b - 2*r. Suppose 0 = -0*j - j - 3*t - 5, j + 2*t = 0. What is the smallest common multiple of b and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(343))**2 + sqrt(7) + -2 + 4.\nAnswer: sqrt(7) + 3089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((0\/(-3))\/(4 + 0))\/2. Let j be (-1 - (5 - 6))\/(r - -1). Solve j*f + 4 = y - 2*f, 0 = 4*y + 3*f - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50547 is divided by 919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -3*v**2 - 5*v + 5. Let j be 5\/1 - (4 - 4). Let a(q) = 2*q**2 + 2*q - 2. Let i(u) = j*a(u) + 2*b(u). Let c(h) = -2*h**2. Determine c(i(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-18) + 1\/(-9)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 - 3*a**2 + 3. Suppose -q + 4*h = -0*q + 8, 2*h - 4 = -q. Let s be (2\/(4\/6))\/1. Suppose -j + q + s = 0. Give w(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 89*d**2 + 17. Let m(i) = -3698*i**2. Calculate r(m(x)).\nAnswer: 1217093156*x**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n - n**2 + 2*n**3 - 3 + 3 - 3*n**3 + n**3 + 0*n**3 + (-2*n - 2*n + 2*n)*(0*n**2 + 2*n**2 - n**2) + n**3 - 2*n + 2*n.\nAnswer: -n**3 - n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6830 and 881070?\nAnswer: 881070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83624 is divided by 27832?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -30 - 97 + 22 - 45*y + 5 wrt y?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 8, -3, 2\/13, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -0.4, 2\/253 in descending order.\nAnswer: 2\/253, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -3\/25612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.2 + 0.6. Let h(r) = -r**2 + 3*r - 3. Let f be h(2). What is the closest to 1 in 0, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-1) + 2 + -25. Let s = -8 - i. Calculate the remainder when s is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1712642 divided by -16006\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n + 12. Let l be c(6). Suppose l*k - 345 = -5*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 + 16*a**2 + 10*a - 14. Let q be w(-16). Suppose 0 = -87*i + 80*i + 2121. Let c = i + q. What is the remainder when c is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 22*a - 38. What is the tens digit of g(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 121904842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 9. Find the common denominator of (v - 5) + (-19)\/7 and -59\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -242730858*v**3 - 58403126*v**2?\nAnswer: -1456385148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27567, 855, -3 in ascending order.\nAnswer: -3, 855, 27567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 3596.8.\nAnswer: 14387.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 375.51286 times 5\nAnswer: 1877.5643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4535 (base 8) to base 5.\nAnswer: 34042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.8 - -0.3. Let s = -0.9 - n. Let w be (12\/(-396))\/((-3)\/9). What is the third smallest value in -2, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(240\/(-54)))\/((-3)\/(-10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of -f**4\/6 + 3*f**2 - 3*f. Let i(s) be the first derivative of p(s). Let n(a) = a. Calculate i(n(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -505023?\nAnswer: -505022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, -6177, 2, 5, 3 in descending order.\nAnswer: 5, 3, 2, -2, -5, -6177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 AM and 11:55 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6572062985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-6))\/((-2)\/(-4)). Let r = -7 + 2. Let h = r + 5.4. Which is the second biggest value?  (a) -2  (b) n  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2791*x - 2790*x + 3 - 10 + 8 - 1.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8*1 - (-48 + 978). Let g = -330 - b. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/3)\/((-6)\/(-81)). Let q(l) = 12*l**2 + 25*l + 8. Let t(a) = 3*a**2 + 6*a + 2. Let y(r) = d*t(r) - 2*q(r). Give y(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 1391210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -2*j**3 + 4*j**2 - 5*j - 9. What is the units digit of g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(-3))\/(10\/270) + -3. Suppose 0 = 4*u + 5*c - 573, -u - 705 = -g*u - 4*c. Round u to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-2)\/3)\/((-1)\/66) is divided by 23 + 0 + 0 + 1304\/(-163).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 45\/3602 or -1?\nAnswer: 45\/3602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1091988077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.0023?  (a) 7\/33  (b) -2  (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 35526 and 23684.\nAnswer: 71052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kbjwbwbjwdwkjdwjw. Give prob of sequence db.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-984))\/((-5)\/20). Let n = 220\/1599 + w. Which is the nearest to 0?  (a) 3\/7  (b) -2\/15  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a + 14. Suppose -3*l + 47 = -5*w - l, -4*w - 3*l - 33 = 0. Is 5 a factor of o(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2693 divide 19560198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g = 446798 - 130907. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 5, y: 7}. Give prob of sequence uy.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2 - 27*z + 83. Let r be t(9). What is the greatest common divisor of 4442 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-4) + 6 + -18. Sort -2, 4, v, 5 in decreasing order.\nAnswer: 5, 4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 571\/121533?\nAnswer: 571\/121533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 74 + -441. Let o = x + 61. Is (o\/(-72))\/(2\/48) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.053?  (a) 0.1  (b) -2\/9  (c) -155  (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 + 6*q**2 + 16*q + 10. Let r be h(8). Let z(p) = -p**3 + 11*p**2 - 8*p - 7. Let x be z(r). What is the highest common divisor of x and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-5\/4)*(t*t*t\/((((t**(-1)\/t)\/t)\/t)\/t))\/t)\/(t**(-1\/2))**48)**14 assuming t is positive.\nAnswer: t**(931\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1451 + 1446. What is the closest to 0.1 in -3, 365, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((42\/(-147))\/((-3)\/126))\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 277401 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add 3 and 6149.\nAnswer: 6152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: 5 + 0 + -8 + 13 + -9 - 8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -28\/11 and 137 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -17*z - 13. Let s(y) be the first derivative of -2*y**2 - 3*y - 1. Let k(c) = 26*s(c) - 6*x(c). Let v(l) = 7*l - 2*l**2 - 7*l. What is v(k(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39354?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 3*p = -u - 2788, 696 = u - p. Suppose -g = -0*g - u. What is g rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/2128 and 15\/1292.\nAnswer: 36176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 72.87 + -72.47. Sort -8, t, 1, -24.\nAnswer: -24, -8, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**4\/11 + 268*q**3\/11 - 5776*q**2\/11 - 268*q\/11 + 5778\/11 = 0. What is q?\nAnswer: -1, 1, 27, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 3*i - 517, -3*i - 485 = -x + 2*i. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 81\/4 and -35\/1088.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:34 AM and 11:36 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -176, -5, -6, -1, 83, 38 in descending order.\nAnswer: 83, 38, -1, -5, -6, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.528 - 1.472. What is the smallest value in -3, 2\/25, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -4*c + 23. Let d be l(2). Solve -4*x - d = s, x - 16*s + 30 = -11*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -387 * 0.5\nAnswer: -193.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m*m\/(m*m*(m\/(m**(-2\/11)\/m*m))\/m*m))\/(m**(-1\/21)*m*m))\/(m\/(m*m**5)*m)**(18\/13))**(2\/67))**(-2\/93) assuming m is positive.\nAnswer: m**(-28880\/18711693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/z**(-2\/5)*z*z*(z**(-5)\/z*z)\/z)\/(z\/z**(1\/19)*z\/(z\/((z\/(z*z\/(z\/(z*z*z**(4\/5))))*z)\/z*z)*z)))**(-17))**(-17\/5) assuming z is positive.\nAnswer: z**(6936\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -11*l - 3. Let x be z(-6). Suppose -x = 5*p - 8*p. Let h be (-6)\/(-27) + ((-210)\/(-27))\/10. Solve q = 5*v - h, 3*q + q - p = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -3*z**3 + 362*z**2 + 119*z + 375. What is r(121)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -4018 (base 15) to base 16\nAnswer: -34d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 529 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*(-12)\/162)\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -212211211 (base 3) to base 6.\nAnswer: -212251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 0*q - q - 2, -3*h + 10 = 2*q. Let j = -1270 - -1972. Suppose 5*z - j = -h. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of a**4\/8 + a**3\/6 - a**2\/4 - a\/2 - 5. Factor l(g).\nAnswer: (g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -21 - 5 + a**2 - a**2 + 8*a**2 wrt a?\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 148*b*p*r**3*y**2 + 46*b*p*y**2 + 47*p*r**2 - p*y**2 - 7*r**3 - 22*r**2*y**2 wrt b?\nAnswer: 148*p*r**3*y**2 + 46*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -8*c**2 + 210*c + 380. Give n(7).\nAnswer: 1458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 11*x**2 + 25*x + 5. Let h be (-32)\/(-6) - 2\/6. Let f(o) = -16*o**2 - 37*o - 7. Let w(a) = h*f(a) + 7*z(a). Find the second derivative of w(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 0*u**3 - 3\/2*u**2 + 0*u**4 + 3\/5*u**5 + 0*u + 4. Find the second derivative of q(s) wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -997 - -6978\/7. What is the closest to -2 in o, -1\/4, -16?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16002553 and 9359?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 62 + 51 + 49840\/(-440)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 11 = -g, 3*j = -j + 3*g - 27 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 7, a: 1, f: 1}. What is prob of sequence af?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10*(-39)\/(-975))\/((-2)\/(-705)).\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 6 - 66 = 2*o, 0 = -o - 61*b + 73*b + 386 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 40*f - 212. Let d be l(5). Let n be ((-9)\/d)\/((-6)\/(-24)). Solve 2*b - w = b + n, -3*b = 2*w - 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 18411, 18408, 18403, 18396, 18387?\n\"Answer: -q**2 + 18412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -2\/35  (b) 0.2  (c) 1\/1037  (d) -1\/5  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(1216) + -2) - ((sqrt(1216) + 0 - sqrt(1216)) + 2 + sqrt(1216))) + 3)**2.\nAnswer: -160*sqrt(19) + 4889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*z**3 - 13202*z - 2*z**4 - 4*z**4 - 9*z**2 + 13204*z = 0. Calculate z.\nAnswer: -2, -1, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the first derivative of 0*z - 9\/10*z**4 + 1\/5*z**2 + 2\/15*z**3 - 7 - 4\/15*z**6 + 22\/25*z**5. Factor o(u).\nAnswer: -2*u*(u - 1)**3*(4*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12424044 >= -12424036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 16.11  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -13*b**2 - 638*b - 40. Let f be c(-49). Solve -f = -5*q + 4*r - 0, -3*r + 37 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8943 + -1.79.\nAnswer: 8941.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -5539185 to the nearest 100000.\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, n: 1, w: 6, h: 2, y: 7, a: 1}. Give prob of sequence wwn.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - 0 - (311 + -319)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*y - 218*y**3 + 1014*y**3 - 47*y.\nAnswer: 796*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -14  (b) -8  (c) -1\/6  (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -13, 2, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1125 + 868?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2744616 is divided by 1259?\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -101 + -1021?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 0.07, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35.9 + 0.9. Let l = y - -13. Let z = l + 22.1. Which is the closest to 1\/4?  (a) 5  (b) z  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/452*24\/(-126). Are 0 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 - 13. Let p be 137 - (-3 + 2)\/(-1). Suppose -14 = -a*d - b + 65, 3*d - p = -5*b. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10692 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 125*c**3*p**4 + 6*c**3 + 18*c*p**2 wrt p?\nAnswer: 3000*c**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 477 a factor of 1722559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 163603\/204792 - 270\/1219. Find the common denominator of 139\/24 and v.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -9*j + 4. What is z(-5)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/(sqrt(6) - -4*sqrt(12)\/sqrt(2)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2971*o**2 + 2*o - 2. Let n(k) = k + 20. Let t be n(-19). Is g(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 46*x**3 - x**2 + 2*x**6 + 0*x**6 - 5*x**3 - 39 + 56 + 91 wrt x?\nAnswer: 240*x**3 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 8:51 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**2 - 87 + 27*y + 179 - 78.\nAnswer: y**2 + 27*y + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 2*a**3 - 78*a**2 - 5*a**3 + 351*a + 11200 - 11470 = 0.\nAnswer: -30, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*u - 42*u + 9*u + 7*u + 4231 - 4230.\nAnswer: -9*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 19899 and 5747?\nAnswer: 114359553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -6. What are the prime factors of -1 + (-22)\/(4\/b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the third derivative of 46*v**7\/35 + 33*v**4\/8 - 315*v**2 - 1. What is the second derivative of s(j) wrt j?\nAnswer: 3312*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113045 is divided by 37501?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17215 is divided by 5736.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -3*t + 6. Suppose 0 = 2*n - 2*y - 10, -4*n + n - 15 = t*y. Is 2\/13 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -483 + 448. Sort -3, w, -4.\nAnswer: w, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**17*x**(10\/11) assuming x is positive.\nAnswer: x**(197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -645*i + 43. Is t(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(4 + ((sqrt(114) - 6*(sqrt(114) - ((sqrt(114) - sqrt(114)*-1) + sqrt(114))))*-4)\/(sqrt(384)*2*-5)).\nAnswer: -20 - 13*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 691*w + 1117*w - 457*w in the form t*w + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*r - 10*r + 0*r)*(-281 + 51*r + 281).\nAnswer: -255*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:44 PM and 2:50 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (12\/30)\/((-70)\/(-75)). What is the closest to 0 in y, 2, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26933366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8472 + -209. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g**3 - 3*g**2 + 5*g - 18. Let r be v(-6). Suppose 5*i - 223 = p + 574, 3*i + 4*p - r = 0. What is the hundreds digit of 0 - i\/(-2 + (1 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-9*t - 110 + 110)*(-t - 3 + 3) + 2*t**2 + t**2 - 5*t**2)*(-t - 1 + 0 + 0).\nAnswer: -7*t**3 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*d**4 + 62*d**3 - 142*d**2 - 318*d + 396 = 0. Calculate d.\nAnswer: -33, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 330 and 550?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2*z = -0*b - 45, -b = 4*z - 29. Let s = b + -7. Suppose -80 = c - 5*c. Calculate the least common multiple of s and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -81630, -326366, -734256, -1305300, -2039498, -2936850, -3997356?\n\"Answer: -81577*l**2 - 5*l - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 11:41 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 2*p + 3*p - p + 2*p + p + 1 + 3*p - 1 + (-1 + 1 + 1)*(0*p - p + 3*p) + (4 - 2 - 3)*(0 + 0 - 2*p))*(-3*p**4 + 0*p**4 + 0*p**4).\nAnswer: -30*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 1896538227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3689676 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2*o + 28 = 0. Let q = o - 17. Let w be q\/40 + 1\/4. Sort -3, w, 5 in decreasing order.\nAnswer: 5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1785 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.1582 times -11\nAnswer: 1.7402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 83893\/8 or 10486?\nAnswer: 10486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 13*713.617\nAnswer: 9277.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-3\/10)*u\/(u**(-8)\/u*u))**(-4\/23)*(u*u**(-11)*u\/(u*u**(2\/9)))**(-2\/83) assuming u is positive.\nAnswer: u**(-123758\/85905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/5 + 0 + (-61)\/(-5). Let b = c + 41. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1166 and 811854?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14239 is divided by 144.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the first derivative of -1 + 0*h**3 + 0*h**4 + 3\/5*h**5 - 36*h + 0*h**2. What is the first derivative of c(d) wrt d?\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 33*m**2 - 270*m.\nAnswer: 3*m*(11*m - 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -5*j**2 - j - 9. Let o(k) = -k**2 - 2. Let s(y) = 2*l(y) - 9*o(y). Suppose 4*z = -4*m - 10 + 2, 4*m - 4*z = -24. Determine s(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*y - 40 + 64 = -51 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*d - 46 - 200 - 6 = 0 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7 + 1783126?\nAnswer: 1783119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -105982.66 plus 17?\nAnswer: -105965.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/9 - 211110\/102. Let c = 2070 + g. Calculate the common denominator of c and 137\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7682 - -7480.04. Let v = h - 0.04. Let y = -201.99749 - v. What is y rounded to 4 decimal places?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 18 = -5*k, -3*l - 3 = 3*k - 21. Suppose 6*a - 2*h = 3*a + 35973, -23992 = -k*a - 2*h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 101 - 54 - 8*u**3 - 43 + (2*u**3 + 0*u**3 - u**3)*(-3 + 1 + 0) in the form q + b*u + g*u**3 + j*u**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000338379847 to six dps.\nAnswer: 0.000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 284, 64, 0, 1 in ascending order.\nAnswer: 0, 1, 64, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*v - 4*v + 2*v + (10 + 5 + 4)*(2*v + 4*v - 7*v).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - 2*o + 3. Determine a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-8)*(880\/15)\/(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ehn when three letters picked without replacement from {n: 1, h: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61 + 19 = 4*t + 4*w, 5*t - 3*w - 92 = 0. Let u = t - -13. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**2 - 8*c + 17. Let y be 1 - 33\/4 - 5\/(-20). What is the smallest common multiple of 12 and d(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b - 3. Let s be p(5). What is the units digit of (3\/((-24)\/(-98)))\/(s\/24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 5*h**5 + 3460*h**4 - 197520*h**3 - 65890*h**2 + 3647275*h + 5922750 = 0?\nAnswer: -745, -3, -2, 5, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 + -8 + (6 - 3). Let q be (-44)\/t*15\/10. Calculate the greatest common factor of 33 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2281511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 147, 5, -15\/4, 0.3 in ascending order.\nAnswer: -15\/4, 0.3, 1, 5, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 8539*t. Let q(x) = 2454*x. Give p(q(k)).\nAnswer: 20954706*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6962 and 649?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 11939 - -6c?\nAnswer: 119a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**5 - 12521*h**4 - 212481*h**3 + 1087893*h**2 + 562302*h - 4726512 = 0. Calculate h.\nAnswer: -12504, -21, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 305\/6 + -9467\/186. Let u = -2.07358 - -0.07358. Which is the nearest to -3?  (a) -0.5  (b) 5  (c) u  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -237*t + 244*t = -42 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((32\/112)\/(8\/14))\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-17 - -37)*30\/(-8). Let o = a - -91. Find the second derivative of 1 - 14*r**3 - o*r - 1 wrt r.\nAnswer: -84*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 196607979 a multiple of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.4, -0.13, -2, 5\/12 in descending order.\nAnswer: 5\/12, 0.4, -0.13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 2*b - 30, 7*l + 9 = 2*b + 2*l. Suppose m - b = 2*x - m, x + 2*m = 9. Let d(a) = -a**3 + a**2. What is d(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 130907 less than -3333293?\nAnswer: -3464200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52\/(-156))\/(34\/12)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 487054.\nAnswer: 2, 243527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(128) + 0)*6)**2 - (sqrt(128) - ((sqrt(128) + sqrt(128)*1 + sqrt(128))**2 + -4)))*-3.\nAnswer: -17268 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2012371 less than -0.22106?\nAnswer: -0.0198229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, j: 1, k: 4, z: 9, s: 1, h: 1}. What is prob of sequence fsz?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 60 + -40. Suppose -r - 4*c = 2*r - p, -2*c = -4*r + 12. Suppose -5*w + r = -3*w. What is the lowest common multiple of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/(-3))\/(12\/15). Which is smaller: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -206 - -214. Let q = -20 + 55. Solve 5*c - 17 = -n, 3*n = f*n - 5*c + q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/244 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes before 8:10 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-16))\/((-30)\/(-1160))*(0 + -3)*4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -52, -73, -94, -115, -136?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4088 and 5330168.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 567436839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 less than or equal to 0.004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 217374 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 81 = i + a, -5*i + 85 = -2*a. Suppose -3*d = -i + 7. Suppose 5*b - 10 = 10. Calculate the smallest common multiple of b and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -2*z**2 - z - 2. Let i be h(-2). Let n(s) = s**3 + 6*s**2 - 13*s - 10. Let m be n(i). Is (-16)\/(-136) + (-4314)\/m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24444 by -63.\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 23046124 and 343972?\nAnswer: 23046124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 632634*g - 11*g**3 + g**2 + 3*g**4 - 632628*g + 3 - g**4 as t*g**2 + a + c*g**4 + o*g**3 + j*g and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.9, -0.3, -1\/299343?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -1\/298  (b) 0.4  (c) -0.3  (d) -2.002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 11:29 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3155 minus 8427.2?\nAnswer: -5272.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(243) + -2.\nAnswer: -2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a centimeter in micrometers?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 898.0935 days?\nAnswer: 77595278400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 3\/5, -7\/6, 0.356, 0.2 in ascending order.\nAnswer: -14, -7\/6, 0.2, 0.356, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 162481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u**3 - 4*u**2 + u - 4. Let g be q(-6). Suppose -2*m + y = -373, -g + 86 = -m - 5*y. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001447 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = -5*i - 210, -759*z - 756*z + 1513*z - 126 = 3*i for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23007 + 42079. What is the greatest common factor of y and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1598 is divided by 113?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*f**3 - 12*f**3 + 2*f**3 + 2*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -4*b**2 + 2*b**2 - 5 + 4 + 85*b - 83*b. Let v(n) = 4*n**2 - 4*n + 2. Suppose 21 + 39 = -12*q. Determine q*u(p) - 2*v(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*a + 523 = -64*a - 47. Calculate the remainder when 713 is divided by a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.9 + -4.9. Let v = 28\/3 - 283\/30. Let f = -0.07 + -0.03. What is the closest to f in v, r, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -169, 2, -4, 0, -13 in increasing order.\nAnswer: -169, -13, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 51 = -4*y, 2*y - 549 = 3*i - 592. Let m(d) = -d**2 - 16*d - 8. Determine m(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -45*q**3 + 18*q. Let u(w) = -134*w**3 + 51*w. What is 6*u(z) - 17*y(z)?\nAnswer: -39*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100, -40, 118, 422, 920, 1660, 2690, 4058?\nAnswer: 5812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**2 + 13*i - 29. Let a be v(10). Let x(k) = 2*k - 4. Let q(m) = -m - 2. Let f(j) = a*q(j) + x(j). Calculate f(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 120 = 4*k, 28*f = -3*k + 31*f + 90. Which is smaller: -0.03 or k?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 2141597.\nAnswer: 214159.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 4090, 33484, 113490, 269422, 526594?\n\"Answer: 4219*j**3 - 8*j**2 - 115*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*v + 6*g - 2, 697*g - 702*g = -2*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 752 (base 10) to base 2\nAnswer: 1011110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*a**2 + 23*a**2 - 47*a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 57 = 4*v, 327*v = 4*o + 324*v + 48 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -18  (c) 1  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0089253 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 949609056 a multiple of 2628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*j**5 + 6155*j**2 + 119108*j wrt j.\nAnswer: 80*j**3 + 12310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {s: 1, j: 6, b: 1, i: 1, n: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 5*g + 324 - 288 = 0, -7 = 3*l - 2*g + 15 + 8 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + (1*sqrt(684) - sqrt(684)) - sqrt(684)) + sqrt(684) + (sqrt(684)*-1 + 2 - sqrt(684)) + 5)**2.\nAnswer: -216*sqrt(19) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.9 and 1097079953?\nAnswer: 1097079953.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142288947?\nAnswer: 3, 613, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82435297?\nAnswer: 7, 37, 41, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is 173715116 to the power of 1\/2, to the nearest integer?\nAnswer: 13180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -7. Let c(j) = -52*j + 15. What is -c(p) - 2*m(p)?\nAnswer: 52*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 + 11*i**2 + 19*i + 9. Let y = 82 + -90. Let t be v(y). What are the prime factors of (-142)\/14*-20 - (-7)\/t?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 11, g: 1, s: 3}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 62229571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -1 - -2 - (4249 - 4226) - (2 + -16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*l = -2*x - 58, 5*l = x - 123 + 64 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-120)\/(-64) - (-4)\/(-2). Let q be (-3)\/11*(-4)\/(-6). Put q, z, 0.4 in ascending order.\nAnswer: q, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8  (b) -0.2  (c) -24  (d) -29\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25 + 8*m - 25 + (0 - 2 + 3)*(2 - 2*m - 2) + 2 + m - 2 to w*m + z and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/14)\/(23\/(2944\/(-32)))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2809 or -2810?\nAnswer: -2809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -59?  (a) 6  (b) 0.8  (c) 1\/7  (d) 16.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5358 is divided by 442?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -56.98 + 68. Let g = t - 11. Let k = 0.02000059 - g. Round k to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 277422?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 5\/7  (b) -4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 m when three letters picked without replacement from jbcbtjjbbmctjjj.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqxsqsxsssqxxqssnsq. What is prob of sequence sx?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 169 - 25. Let w = k - 84. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1049*-1789.\nAnswer: -1876661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7 and 763.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 11 + 0*(-3)\/(-12). Let x = -9 + h. Calculate the highest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4753724664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 1853 in decreasing order.\nAnswer: 1853, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -120 - -124. Solve 0*a - 5*i = 2*a + 1, -a + s*i = 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 5*r - 3*j, 491*j + 19 = -4*r + 488*j. Let n = -491\/6 + 82. What is the closest to -14 in -0.1, n, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 157e4 - d5?\nAnswer: 1570e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 13) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001489 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(95)\/sqrt(5)*6*-5*5.\nAnswer: 450*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 2*c - 91 = 0, -14*x - 13*x + 5*c + 160 = -22*x for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2158 - -0.0842. Which is the closest to -73?  (a) -0.5  (b) -2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h - 11. Let m be k(8). Suppose 0*t = 2*l - 3*t - 102, m*l - 242 = t. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -47*y**6\/10 + y**4\/6 - 855*y**2\/2 - 9*y - 17. Differentiate i(j) with respect to j.\nAnswer: -564*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (14*(-1)\/(-3))\/(9\/(135\/(-10))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -20 in -1\/2, 2\/19, -2, 2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**2\/7 + 4352*s\/7 - 1183744\/7.\nAnswer: -4*(s - 544)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6013  (b) -0.4  (c) 27  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9349*f**2*s**2 + 215*f**2*s - f*s**2 + 2421675*f + 1 wrt f?\nAnswer: 18698*s**2 + 430*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18734 is divided by 1662.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**(-6))**33 assuming k is positive.\nAnswer: k**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2585050 (base 10) to base 6\nAnswer: -131223454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 2\/13, 0.7568.\nAnswer: -6, 2\/13, 0.7568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*f**2 - 614*f**3 + 610*f**3 + 79*f**2 as x*f**2 + o + j*f + g*f**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 2 v, and 1 h when four letters picked without replacement from {v: 4, i: 3, h: 3, c: 1, r: 3, d: 2}.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - (1 - 0\/2). Let y(n) = -n**3 + 3*n**2 - 7*n + 48. Let h be y(4). Solve -h*j + t = 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 315 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12.77 + -13.07. Sort -5\/6, 4\/5, g, -3 in increasing order.\nAnswer: -3, -5\/6, g, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 594\/(-126) + -2*(-1)\/(-7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*f**2 + 15210 + 0*f**3 + 38*f**2 - 15210 - 2*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (1 + 0 + (sqrt(500) - (sqrt(500) + -6*(sqrt(500)*1 - sqrt(500))) - (2 + sqrt(500)*1)))**2 + -3.\nAnswer: 20*sqrt(5) + 495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 - 17*d - 10. Suppose 4*a + 5*s + 2 - 107 = 0, -10 = -2*s. Let z = a + -31. Is h(z) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 1 - (33 - (-3 + -17 - -24)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3631.455ms in hours?\nAnswer: 0.0010087375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -289, -446, -337, 176, 1231, 2966, 5519?\n\"Answer: 23*z**3 - 5*z**2 - 303*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93 + 21 = -12*f. Solve 3*t - f = -15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 92 + -87. Let r be -2 - (-4)\/(7 - i). Solve 6\/11*q + r*q**2 + 4\/11 - 2\/11*q**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -508 + 503. What is the closest to -4\/5 in b, 2\/13, 2\/5, 1\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/12 + (-2)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 881*f**2 - 15*f + 6. Is s(6) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -5. Let m = -34920 + 34915. Which is the second biggest value?  (a) t  (b) 11  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - (-10)\/4) + (-965)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 0  (b) -4  (c) -0.3  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n + 5. Let g be (-4)\/(-1 + (-3 - -3)). Let t be v(g). Suppose t - 11 = -5*b. Solve -3*c - 5*l + 18 = 0, -b*c + c = -2*l + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9677643 divided by -419.\nAnswer: -23097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 2*r - 4, 3*r - 4 - 23 = -2*y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 5*u - 1 = -8, -j - 3*u - 11 = 0. Is 24 a factor of (4 + -76)*(1 + j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -463.09075 + 434.0907481. Let i = h - -29. What is i rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96.0968 decades in centuries?\nAnswer: 9.60968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5dcef0f + -5?\nAnswer: 5dcef0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1040.19 less than -10.83253554?\nAnswer: 1029.35746446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 2 - (2 - 1) - 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -402637*h = -402617*h + 220 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17370 and 1530.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 24204321 or 24204322?\nAnswer: 24204321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -655 (base 11) to base 12\nAnswer: -556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -23799.49 times 0.02\nAnswer: -475.9898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n**2 - 52*n + 171. Let x(q) = 2*q**2 - 26*q + 86. Let c(a) = 5*x(a) - 3*y(a). Let v be c(-29). Solve -v*r = -6*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4442183 is divided by 927.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s + 2*z = s - 12, 2*s - 2*z + 2 = 0. Let c = s + 4. Let u(a) = -a. Let v(j) = 8*j. Let m(i) = 21*u(i) + 3*v(i). Let n(b) = b. What is c*n(t) - m(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -5*j**2 - 5*j. Let k be m(-1). Calculate the smallest common multiple of 21 and 13 - 15 - (k\/(-2) + -53).\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, 118, -2, -103 in decreasing order.\nAnswer: 118, 4, 0, -2, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 290*m**2 + 5*m - 5. Let o be k(3). What is o rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13121301332 - -2?\nAnswer: -13121301330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10202130011 + 10?\nAnswer: 10202130021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 38, 100, 260, 566, 1066, 1808, 2840?\n\"Answer: 8*d**3 + d**2 + 3*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = -5 + 2, -4*y = o - 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-283236662832)\/7308)\/((-438)\/4). Let d = k - 7432864\/21. Let h = -2\/657 + d. Sort 4, 2, h in decreasing order.\nAnswer: 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2 + 14*j - 5. Let v be (-1)\/1 - 0\/(-18). Let t(f) = -11*f**3 + 3*f + 2. Let c be t(v). What is the remainder when k(c) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 244244 + -2130?\nAnswer: 242114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3 + 5 + 87\/(-27) and -97\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 71\/4 of a meter?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/4896 and -137\/88128?\nAnswer: 88128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 76*l**2 + 1060*l + 39. What is r(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 56, 5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-192)\/10)\/((-228)\/(-190)*(-9)\/(-27)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8803336.\nAnswer: 2, 37, 29741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + -21 + 12 - -24?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((2\/12)\/1)\/((-32)\/(-384)))\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 5. Suppose -u*g - 10 = -4*g. Calculate the remainder when 18 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -2*s + 224, -2*j = 3*s - 4*j - 341. Let z(v) = 3*v - 32. Let n be z(12). Calculate the remainder when s is divided by 2*(-15)\/n*-4.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -24 in -7, 0.2, 2, -28, -0.4?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 583210.6ml?\nAnswer: 583.2106","meta":{"dup_signals":{},"source":"measurement__conversion_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: Rearrange 0*w - w + 0*w + 3*w**3 + 2*w**2 to l*w**2 + z + m*w + a*w**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 4. Suppose 3*x + 5 = -0*x + q*u, -u + 1 = 3*x. Suppose x = 2*m + r - 31, 3*r + 1 = -14. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41 - 36. Suppose 5*t + 2*c = 53, 4*t - c + k*c = 40. What is the greatest common divisor of t and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 9 = -7*o. Sort o, -7, -3.\nAnswer: -7, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2 - 2878*h - 5857824.\nAnswer: 2*(h - 2576)*(h + 1137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-131)\/(-4) + 4\/16. What is the units digit of (-2)\/9 + t\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the third derivative of t**8\/2520 + t**7\/315 + t**6\/135 + 10*t**3\/3 + 34*t**2. Let m(p) be the first derivative of f(p). What is v in m(v) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 6, f: 2}. What is prob of sequence jf?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3049, -3051, -3067, -3103, -3165, -3259?\n\"Answer: -t**3 - t**2 + 8*t - 3055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*y - 4*y - 4*y - 5*y - 2 + 2 - y + 3 - 3 - y + y + 2*y + y - 3*y + 0*y + (y + y + 0*y)*(-3 + 1 + 1).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -4825000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -250, 4, -58, 8, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 4 - (8 + (-29 - -8 - -19)) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 2:09 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 + 6*p**2 + 5*p + 6. Let d be v(-4). Let u = d + -13. Suppose 2*l - j = -2*l + 1486, u*l - j - 1857 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/(4\/(-36)) + 4. Let o = i - -24. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*m - 150 = 4*m. Solve m = -5*z + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 95*z**4 - z - 7.\nAnswer: 1140*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 10 = -4*r, 8*o + 3 + 1 = -4*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 5, 3*w - 6*w = 4*z - 19. Suppose w*a + 132 = 8*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -53833819*d. Let x(p) = -2*p**2. Calculate x(b(l)).\nAnswer: -5796160136249522*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15332 or -15331?\nAnswer: -15332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 - 22. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 734, 1291, 1852, 2417, 2986, 3559, 4136?\n\"Answer: 2*n**2 + 551*n + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 281112 and 104811528.\nAnswer: 1362549864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 - 4*r**2 + r + 11. Let l be j(-2). What is the least common multiple of 18 and (-342)\/(-95)*(l - -4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 74\/26 + (-2)\/(-13). Suppose 1295 = 2*l - 3*p, -l = -0*p - y*p - 655. Let c = -444 + l. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*d**4 + 2*d + d**2 + 14*d**4 + 0*d**3 + 0*d + 2 + 2*d**3 as g + u*d + f*d**3 + w*d**2 + x*d**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 595 divide 3372489155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-402)\/(-10) - 4\/(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -234.491 and -4.\nAnswer: 937.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 30792.02 days?\nAnswer: 2660430528000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - j - 9 = 0. Let a be ((-2)\/j)\/2*9. Let f be (2 - a)\/(1\/(-2)). Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 8508.5559 nanoseconds?\nAnswer: 0.00000000009847865625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 21 - 14 - z**3 + 21*z**2 - 15*z - 5*z. Suppose 36 = g + 4*n, g + 2*n = 12 + 16. Does 4 divide x(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-2)*5\/(40\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -1405, -2908, -5411, -8914, -13417, -18920?\n\"Answer: -500*y**2 - 3*y - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 32157?\nAnswer: 353727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u. Let c(s) = s**3 + s**2 - s. Let w be (-1)\/(-6) - 1070\/(-60). Let a = w - 19. What is a*t(l) + 2*c(l)?\nAnswer: 2*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 127  (b) -0.1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -4395*t + 71398. Calculate j(16).\nAnswer: 1078","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of -v**7\/1260 + v**5\/120 - v**4\/12 + 4*v. Let o(r) be the third derivative of w(r). Differentiate o(n) with respect to n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118 = -5*q + 2*d, 2*d + 0*d + 58 = -3*q. Calculate the common denominator of 1 + 8\/10 - (q + 21) and -59\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1261 times -0.355?\nAnswer: -0.0447655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 45632.41 litres in millilitres?\nAnswer: 45632410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -2*w + 39. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8687 divided by 2\nAnswer: -8687\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ntppggggttgipgnngg. What is prob of sequence nnin?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -68d332 (base 16) in base 15?\nAnswer: -90a775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 8*q - 2. Let f(s) = -s + 1. Let n(u) = -2*f(u) - g(u). Let j(t) = -3*t + 2*t + 20*t**2 + t - 22*t**2. What is j(n(a))?\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 10:52 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -2147372\nAnswer: -8589488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 8:03 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -16*f*n**2 - 3*f*n + 319*f + 51159*n**2 wrt f?\nAnswer: -16*n**2 - 3*n + 319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5010*a**3 + 5018*a**3 - 10019*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -59 + (2 - -46).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 77486804?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 585785161?\nAnswer: 13, 45060397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -52561123?  (a) 2\/3  (b) 4  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3103352459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/28)\/(((-7280)\/(-8820))\/13).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.01+13161.6128192\nAnswer: 13161.6028192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -817 - -824.03. Let s = 7 - o. Round s to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -4, -1859, -0.2, 1, -0.4, 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/6  (b) 176.5  (c) 15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*4*sqrt(209))\/(sqrt(1331)*-4 - sqrt(11)).\nAnswer: -4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 4*q - 69 = 36, 0 = 2*p + 4*q - 70. Let x be (-60)\/(-28) - 5\/p. Solve -i = 4*k - 4, -5 = -3*k - 4*i - x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1626842 - -2?\nAnswer: -1626840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of (-18)\/6*(-201)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*z + 1)*(-19 + 180 - 8).\nAnswer: 306*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 190 and 15544.\nAnswer: 1476680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**3 - 18*s**2 + 23*s + 9. Let z be y(-19). Let h = z + 107. Calculate the highest common divisor of h and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -93 + 158. Let z = n + -63. Let p = 2 + 3. What is the closest to -1 in z, p, 15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -5 + 1 - c + 0*c + 5. Let f(j) = -2*j + 14. Let n(p) = f(p) - 3*t(p). What is n(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -615184\/5?\nAnswer: -615184\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 3*h**2 - h + 1. Suppose 0 = -5*n + 4*x + 8, 0 = -3*n + 5*x - 0 - 3. What is the tens digit of t(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1  (b) -0.5  (c) -3  (d) -4  (e) 458  (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w - 7. What are the prime factors of r(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 - -15192176?\nAnswer: 15192175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 + 1544 - 1544.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/2  (b) 4529  (c) -1  (d) -0.17  (e) 0.07  (f) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -54877, -2, -4 in decreasing order.\nAnswer: -2, -4, -54877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - 5) + -2 + 7 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t + 1. Let k be c(-3). Suppose -3*j - 4 + k = 0. Solve h + j*g = 11, -4*h - 4*g = -g - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -50 - -50. Suppose -4*c + 2 = -2. Let i = 1 + c. Solve z = 5*k - i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -234d (base 14) to base 4.\nAnswer: -1200001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3*x + x**2 - 3 + x - 2*x. Suppose 4*p - 48 = 2*r + 36, 3*r = 0. Suppose 7*f + 7 - p = 0. Determine a(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 5 = 26. Suppose -1 = -w - p. Let f(i) = -i**2 - 8*i - 6. Calculate f(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 27*y. Let u(v) = -204268*v**2 + v. Calculate u(c(x)).\nAnswer: -148911372*x**2 + 27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b**2*j**3*q + 683*b**2 + 34530*b*j**3 - j + 91*q wrt j?\nAnswer: 6*b**2*j*q + 207180*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of -v**5\/60 - v**4\/24 + v**3\/6 + 3*v**2 + 2. Let n(z) be the first derivative of 2\/3*z**3 + z**2 + 1 + 0*z. Give c(l) + n(l).\nAnswer: l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - (2 - (-1)\/3). Let x = 1586 - 1097. Let m = -482 + x. Which is the nearest to i?  (a) -5  (b) m  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 24326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -6*d + 7. Suppose -558*p + 614*p = -280. Let t(v) = 3*v - 4. Calculate p*t(k) - 3*l(k).\nAnswer: 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1877915029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 1, -5, 106 in descending order.\nAnswer: 106, 2, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 396  (b) 1\/3  (c) -4\/3  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -268863*p. Let u(f) = 17*f**2. Give r(u(m)).\nAnswer: -4570671*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + 2. Let p be r(0). List the prime factors of (8 + p)*(-7)\/(-2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 - -8. List the prime factors of (1 - -1)*15\/o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10*f**6 + 340*f**2?\nAnswer: -1200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40*-0.28.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41 + 183. Suppose 6*t + l = 430. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*q**2 + 2*q**2 + 2*q**2 - 2*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 7*m - 30 = -8*m, -3*n + 29 = 4*m. Calculate the greatest common factor of n and 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (67 - 2) + 1 + 1. Is g + -2 + (-2)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + -6. Let t be 3\/(1*r) + 9. Suppose 0 = -5*a, -w - 4*a + 7*a + 24 = 0. Calculate the greatest common factor of t and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**2 + 43*i - 26. Let t be w(21). Let o(j) = 20*j + 101. What is the units digit of o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 - 12*d - 14. Suppose 28*z - 449 = -57. Determine i(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000733348 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.1 and 26?\nAnswer: -28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 59 - -1450. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -510*q + 23892 - 2264 = -9992 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from occococccccococcccc. What is prob of sequence co?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -5*h - 6. Let n be h\/8 + 74224\/(-64). What is the units digit of n\/(-36) - (-2)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z - 2. Let i(n) = 15*n + 10. Let m = 3005 + -3003. Suppose -u = -3*j + 37, -52 = -4*j + 2*u - 0*u. What is j*q(d) + m*i(d)?\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -11954023, -11954021, -11954019, -11954017, -11954015?\n\"Answer: 2*y - 11954025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 37366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 46 and 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 28 = -24*p, 14*p - 18*p + 4*z = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 1. Let u be j(3). What is the units digit of u\/((-4)\/7) - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 2375, 10026, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n - 1. Let v be f(6). Let s = 6.405 + -6.5. Let x = 2.905 - s. Sort v, x, 0 in decreasing order.\nAnswer: v, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - 7)\/((-9)\/6). Suppose -7*d - 3 = -l*d. Is 1\/13 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q - 6. Let h be i(-5). Let f be h - (0 - 0) - -25. Calculate the highest common divisor of f and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16138 + -16127. What is the remainder when 3723 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50 and 145.\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - 0.9. Let w = -7 - -7.42. Let x = w + -0.52. Which is the closest to g?  (a) x  (b) 5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = -2*p + 11*p + 8*p + 115, 0 = 2*z - 6*p - 50 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 851*v**2 + 51030*v - 1722. Calculate f(-60).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 6981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1248)\/(-1365) + (-1 - 0) + 38\/133. Suppose 0 + i*k**2 + 1\/5*k = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 2)*(2 + 1 - 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j. Let z(a) be the first derivative of -a**2\/2 - 27. Calculate p(z(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 6) + 7 + 0 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1361 rounded to 2 dps?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 3 = 4*k. Let o = 0.3 + -0.5. Which is the third biggest value?  (a) -2  (b) o  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2144209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -10*1 - (-11)\/((-44)\/(-60))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 48\/28 - (-7)\/(147\/6). Suppose -s + 5*d + 372 = -3*s, 5*d = 3*s + 583. Let b = -189 - s. Solve -3 = -b*l + 7, -4*p + n*l = 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -30887 < -29609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2 + 9 + 12 - 17*x + 4 with respect to x.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125083711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-88 - -61)*(-14)\/189. Factor 2\/3 + 2\/3*v**4 + 1\/3*v**3 - l*v**2 + 1\/3*v.\nAnswer: (v - 1)**2*(v + 2)*(2*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 264 a factor of 86910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 527 (base 14) to base 8.\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 2:24 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 AM and 2:16 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163320214.\nAnswer: 2, 31, 421, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0027132 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-112999.\nAnswer: 564995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/(-77) + 138\/33. Suppose 5*h = u*h + 22. What is the highest common factor of h and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 6, 4*g - 34 = -2*i - 10. Calculate the remainder when 33 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.34 less than or equal to 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {l: 9, o: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*j - 6*j - 11*j + 0*j - 18 wrt j?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-0.551725.\nAnswer: -1.655175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2958 and 4?\nAnswer: 11832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10049203357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 21 + -21.00088. What is m rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**2 - 69*v + 531. Determine n(60).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4.917 - -20.917. Put -4, -1\/2, 3\/2, g, 0.3 in ascending order.\nAnswer: -4, -1\/2, 0.3, 3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1694388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of 461387.331 and -50997.\nAnswer: 410390.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1288720 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-12)*2*(28 + -49)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 393776 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-4)\/(-10))\/((-2)\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 25*h**3 + 3*h + 454 wrt h?\nAnswer: 75*h**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -14 - u + 6 + 6*u**2 + 2 - u**4 + 7 in the form g*u**4 + c*u**2 + i + t*u + l*u**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49\/(-980)*2\/(-1)*1.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/2 + 781*f**2\/2 - 152099*f\/2 - 152881\/2.\nAnswer: -(f - 391)**2*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.8 - 4.2. Let h = v + 1. Let k = -1.3 - -0.3. Which is the third biggest value?  (a) k  (b) 1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 227.2101 weeks?\nAnswer: 137416668480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0658 less than 6?\nAnswer: 5.9342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2891.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/9 + 2\/(-3). Let o = 6 + w. Let r = o + -4. Is -1 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -h + 10. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 193, 377, 561, 745, 929, 1113?\n\"Answer: 184*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c + 153. Let g(a) = 105. Calculate -8*g(f) + 5*m(f).\nAnswer: 5*f - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 69772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-8)\/(a*(a\/(a\/(a\/(a*a*a**(5\/3)))))\/a))**(-2\/81)\/((a**(-13)*a)\/((((a*a\/(a**(2\/7)\/a*a))\/a)\/a*a)\/a))**(25\/6) assuming a is positive.\nAnswer: a**(83249\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 PM and 4:48 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 1\/(-6) + 91\/42. Solve 2*c - 6 = 3*w - 15, 0 = -h*w + 5*c + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 3*t + 12 = 0, -8 = 65*f - 63*f + 2*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 6*j**2 + 7*j + 14. Let a be l(-5). Solve -o = -f - 0*f + a, o + 1 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -17, -5, 233 in ascending order.\nAnswer: -17, -5, -2, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g**3 + 8*g**2 + 19*g - 117. Determine c(5).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, v: 3, u: 3, k: 6}. Give prob of picking 2 u and 2 n.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6127*t**2 - 3711*t**2 + 2192*t**2 - 9560*t**2.\nAnswer: -17206*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 162\/(-756)*8\/(-2)*((-20615)\/(-627))\/31.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -42975*d**5*q + 159*d**5 - 2*d*q + d - 22082*q - 9 wrt d?\nAnswer: -859500*d**3*q + 3180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -18*z + 48. Let i(m) = m + 1. Let o(f) = -c(f) - 5*i(f). Let q be o(4). What is the nearest to 2\/5 in -4, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Let v = -73.1 - -432.1. Let f = v + -358.7. Which is the closest to 0.1?  (a) 0.5  (b) 0.1  (c) f  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -371*((-3)\/(252\/296) + (-2)\/(-3)). Is 1058 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 6184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(1\/2))**(-24\/11)*(a*a*a**7)\/a**(-3))\/(a*a**(-10)*((a\/(a*a\/(a*a**(3\/14))))\/a)\/a)**(-32) assuming a is positive.\nAnswer: a**(-25736\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((y**(-1\/4)\/y)\/y)\/y)\/y)\/y)**48*y*(y\/y**(-1\/5)*y)\/y*y**(-3\/8) assuming y is positive.\nAnswer: y**(-10007\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 124521656 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96078355496*k - 96078355496*k - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sez when three letters picked without replacement from {u: 1, z: 6, s: 6, e: 2, w: 3}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 0 + 4)*(-q + q + 2*q) - 5*q + 2*q + 5*q - q + q - q + 2*q - 2*q + 3*q)*(1 + 3 - 2).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -9186 from -323.\nAnswer: 8863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r\/(((r**3*r)\/r)\/r))\/r)**(-20)\/((r\/(r*r**12))\/r**(-2\/49)) assuming r is positive.\nAnswer: r**(1566\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (7 - 12)*(0 - -1). Let o(t) = -t. Let g be o(l). Let i = 45 + g. What is the greatest common divisor of 20 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 3) + (1 - 2 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*s = -5 - 121. Let w(i) = -5*i**3 + 6*i**2 - 6*i - 8. Let x(h) = h + 5. Let d be x(-6). Let o(y) = -y**3 + y**2 - y - 1. Give d*w(l) + s*o(l).\nAnswer: -l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1282130881, -1282130883, -1282130885, -1282130887, -1282130889?\n\"Answer: -2*d - 1282130879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u**(-3)*u)))**(1\/12)*((u*u**(-6\/17)*u*u)\/u)**(-2\/19) assuming u is positive.\nAnswer: u**(-659\/1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the first derivative of -178*y**6\/3 + y**2 + 39*y - 390. Find the second derivative of x(p) wrt p.\nAnswer: -7120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -7*a**2 - 3*a + 4. Let z(g) = 6*g**2 + g - 3. Determine -3*c(m) - 4*z(m).\nAnswer: -3*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8413650695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x - 4*x = x - 3*w - 26, -x + 5*w + 41 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0077186 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 917*l**3 + l**2 - 138*l + 7?\nAnswer: 5502*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 AM and 3:13 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = -4*w + 3*m, 18*w - 5*m - 48436060 + 48435914 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*v**3 - 26*v**3 + 23*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 4*t + 3. Let a be c(2). Let o(q) = q**3 - 2*q**2 + 5*q - 2. Calculate the lowest common multiple of 10 and o(a).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203 = 9*j - 2*j. What is the third biggest value in j, -0.3, 5, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ngngwgn. What is prob of picking 1 w and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (((-16)\/(-12))\/2)\/(18\/(-243))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 + 3)\/(1\/(-106)). Let q = 111 + p. Solve q*i + 10 = 3*i - 5*w, -5*i = w + 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -9*p - 189. Let x be d(-28). What is the greatest common factor of 1638 and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/14 + (-5)\/(-7). Suppose v - 2 = -r. Is -2\/7 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 686307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 395 + -179. Let m = -217.79 + w. What is m rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007205 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 391862?\nAnswer: 2, 195931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, x: 2, a: 5}. What is prob of sequence aal?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -5) + -10 + (2 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 262 - 257. Suppose -w - 4*w = -2*k - 75, 3*w - 45 = -j*k. What is the highest common factor of 6 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + z = -1350, 2*z = -n - 0*z + 1335. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 287*y - 93*y - 8*y**3 - 194*y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 60, 68, 76, 84, 92?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 + m**2. Let u(r) = -2*r**3 - 7*r**2 + 10*r - 6. Let w(y) = t(y) - u(y). Let a be w(-9). Solve 7*o + a = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 AM and 10:16 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 140.040945 - -14.959116. Let y = i - 155. Round y to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -571739*h**4*i + h**4 - 458*i - 2497 with respect to h.\nAnswer: -2286956*h**3*i + 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001299 to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xcx when three letters picked without replacement from {c: 6, x: 12}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -4*r - 96, 0 = 2*r - 4*r - 2*q - 48. What is the remainder when (64\/(-1))\/(22 + r) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(38)\/((sqrt(20) + (sqrt(20) + sqrt(20) + sqrt(60)\/sqrt(3) - sqrt(20)))\/sqrt(10)) + -5 + -2*(sqrt(57)\/sqrt(3))**2.\nAnswer: -43 + sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 - h**2 + h + 23. Let y = 11 - 11. Is s(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 31*h**2 - 2*h - 1. Let s be 3 + -3 - (-2)\/(-2). Calculate the remainder when g(s) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*c = -5*c + 26*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -59*p**2 + 3. Suppose 0 = -3*m + 12. Let c(l) = -20*l**2 + 1. Give m*n(f) - 11*c(f).\nAnswer: -16*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 560 and 56.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4755 - 695*b**2 - 4755.\nAnswer: -695*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mxxmmxrxmrmmrxxmrxr. What is prob of picking 1 r and 3 m?\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45 - 44. Let q be ((-1)\/3)\/(2\/((-2)\/g)). Factor -q*u**2 + 0 - 1\/3*u.\nAnswer: -u*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*f**3 - 100*f**2 - 24*f + 16 = 0.\nAnswer: -2, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.52 and -0.02513?\nAnswer: -0.0130676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - s**2 - s - 2. Let b be p(0). Let c be -5 + 3\/1 - 22\/b. Solve 0 = d + 4*l + 17 - 4, d + c = -2*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -90*w - 11. Let l(a) = -224*a - 26. Let v(s) = -5*l(s) + 12*o(s). Let k(r) = -5*r**2. Calculate v(k(f)).\nAnswer: -200*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 9 = 19. Suppose -2*p - 61 = -x*a, 4*a - 15 = -2*p + 41. Let n(c) = c**3 - 13*c**2 + 4*c - 13. List the prime factors of n(a).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2664640 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 - -0.2. Let f = -14 - -41. Let k be (3\/2)\/(f\/6 + -3). Which is the nearest to k?  (a) s  (b) -0.7  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 4) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-16)\/20)\/(-4))\/(250\/(-25)).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(833) - sqrt(833)*4) + sqrt(833) - (((sqrt(2057) - sqrt(2057)*1) + sqrt(2057) - sqrt(2057))**2 + sqrt(2057) - sqrt(2057) - sqrt(2057))*-5.\nAnswer: -69*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 132\/41315 or 1?\nAnswer: 132\/41315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-14))\/(13200\/14080*(-4)\/(-42))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**2 - w - 1. Let p(a) = 16*a + 514. Let i be p(-32). Calculate f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l + 24. Let g be r(18). Suppose g*j = 13*j - 630. Calculate the smallest common multiple of 332\/16*1 - (-6)\/(-8) and j.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 3:15 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 51844 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t - 1 + 1 + (-1 + 0 - 1)*(-5*t + 5*t + 2*t))*(493*t - 86*t + 89*t).\nAnswer: -2480*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 d when three letters picked without replacement from {d: 2, u: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24874, 99466, 223776, 397804, 621550?\nAnswer: 895014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + 13*s**2 + 15*s + 20. Let c(u) = u**3 - 13*u**2 - 15*u - 19. Let j(y) = -6*c(y) - 5*t(y). Is 25 a factor of j(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(2\/3)*y*y)\/y)**(1\/12)*(y**(2\/3)\/y)**(-40) assuming y is positive.\nAnswer: y**(122\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11500318 is divided by 70?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 390 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 221000 (base 3) in base 9?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 7*x - 9*x + 3 = 0, 5*x = 2*w - 21. Solve -5*i = 3*l + 25, w*i - 23 = 3*l + 7*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2.4?  (a) -4  (b) -226  (c) 1\/3  (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 times 259538?\nAnswer: 12457824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nbb when three letters picked without replacement from bbnbbbnnnnnnnnnnbbn.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -33?  (a) -1  (b) 11.891  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1*4*(1 + -2 + sqrt(1872) + -4))**2.\nAnswer: -1920*sqrt(13) + 30352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15338 is divided by 3803.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + (-6 + 4 + 10 - 28 - -9)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.6 + 15.4. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, 2, -2\/21, 7, -3, -1249?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -15*b - 2 - 5*b**2 - 19*b**2 - 2*b - b**3 - 10*b. Is j(-23) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 3*v - 131, -4*t + t = 5*v - 207. Let o = v + -37. Let b be ((0\/(-3))\/(-2))\/(-1). Sort b, o, -5.\nAnswer: -5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**14*(i**(-17)\/i)\/i assuming i is positive.\nAnswer: i**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 7*r = 20. Let h = 30.12 - 27.1. Let u = -0.02 + h. Which is the third smallest value?  (a) -2\/17  (b) r  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1890 and 536970?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -9072.816302 to the nearest 10.\nAnswer: -9070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -10110001000100 (base 2) in base 10?\nAnswer: -11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 671 (base 9) to base 8.\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3904220 divided by 2.\nAnswer: -1952110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 437 + 59. Let k = l - 446. Calculate the remainder when 147 is divided by k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*r**5 + 1315*r**2 + 622*r**2 + 179*r**2 + 200*r**3 + 5*r**5 wrt r.\nAnswer: 180*r**2 + 1200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0063511345 rounded to 6 decimal places?\nAnswer: 0.006351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 h when three letters picked without replacement from hhhhchhhchchhdhhh?\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g - g - g + g - 6*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 379291042 to the power of 1\/2, to the nearest integer?\nAnswer: 19475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 2*b = 1303 + 2055, -2*p + b = -1689. List the prime factors of p.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 606200.\nAnswer: 2, 5, 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 177530 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 divided by -19659103.\nAnswer: -25\/19659103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Total of -50 and -3.2.\nAnswer: -53.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 988157 (base 11) to base 14\nAnswer: 2d0c0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-75)\/(-15))\/(5\/24). What are the prime factors of 6 + a\/(-4) - -145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -60 - -60. Is 4 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 0 + 6*c - 8*c + 5 + 4*c. Calculate r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -168 or -500\/3?\nAnswer: -500\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 29604 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.08993 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13603*o**2 + 4537*o**2 + 4537*o**2 + 4549*o**2.\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f + 3 - 2 - f**2 + 5 - 4. Determine q(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 133, 535, 1205, 2143, 3349, 4823?\nAnswer: 6565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 26308 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4902 rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -203727742 - -0.006?\nAnswer: -203727741.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*b - 83*b = 5*q - 5, 2*b = 4*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 1031 divide 386862130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 1844923823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 - 48*z + 13*z - 8)*(-3 + 0 + 1).\nAnswer: 70*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (0 + 5 + 4 + -3*(sqrt(1872) + 1) + 3 + 4)**2.\nAnswer: -936*sqrt(13) + 17020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*(-2)\/4 - -69. Suppose -59 = -15*s + 91. What is the highest common divisor of s and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + 2*g**2 - 3*g + 1. Let r be h(-3). Let j be -1 + (4\/(-2) - r). Let n(o) = -o - 7. What is n(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 18, 44, 80?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6035816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1016453 less than or equal to 1016454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(180) - sqrt(180)) + 0 + (sqrt(180) - (2 + sqrt(180) + 4))**2)*-5.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -29*i + 1. Let k be q(-5). Let l = k - 95. List the prime factors of l.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 689 = -687. Calculate the least common multiple of y and 1432.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 + 19. Let o be s(4). Suppose 6*i - 8*i = -2*t + 44, o*i = -5*t + 70. Calculate the remainder when 151 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**2 - 11*q + 14. Let v be (-9)\/(4\/8*-3). Is l(v) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence odh when three letters picked without replacement from {o: 5, d: 2, h: 9}.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 12738182 (base 9) to base 2\nAnswer: 10111111110011001000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 340 - -110. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 29\/5  (b) -0.3  (c) -2\/25  (d) -1  (e) 6  (f) -751\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3\/1934 + -131521\/5802. Let v = -592 + 2435\/4. What is the common denominator of l and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*j = 15*j + 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 402006.3 litres in millilitres?\nAnswer: 402006300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + 0.1. Let a = 83365 + -83396. What is the smallest value in k, 2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2389 - 21162.\nAnswer: -21162.2389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 440 = -3*l, 3*w = -2*l - w + 310. Suppose -439 = -r - 2*r - 2*s, s = -r + l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 8:10 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -75, -194, -377, -624?\n\"Answer: -32*l**2 - 23*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1899.5 and -14532347?\nAnswer: 14534246.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + -1. Let b(g) = -3*g**2 + 2*g + 7. Let k(w) = -10*w**2 + 5*w + 22. Let d(s) = m*k(s) + 7*b(s). Is 4 a factor of d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 379565*o**2 + 550*o + 84414590?\nAnswer: 759130*o + 550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 - 10*j + 3. Does 89 divide d(42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-568*d**2 + d + 261*d**2 + 256*d**2)*(2*d**2 + 4*d - 5 + 5).\nAnswer: -102*d**4 - 202*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 + 16*x + 70. Calculate the smallest common multiple of 33 and v(-14).\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 5 - 425*x**2 - 1 + 5 to the form t + n*x + m*x**2 and give m.\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 181 a factor of 1239486009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-15)\/25)\/(553\/(-395)). Put -268, 0, 3, z in ascending order.\nAnswer: -268, 0, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -4811*h + 9665*h - 2*h**2 - 4854*h. Let b(s) = 30*s**2 + 6*s - 6. Let d(l) = 61*l**2 + 13*l - 13. Let p(u) = 13*b(u) - 6*d(u). Determine p(q(r)).\nAnswer: 96*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*w - 3*u - 9, 5*w - 58 = -2*u - 64 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3759 - -3766. Which is the smallest value?  (a) 1\/4  (b) s  (c) -0.4  (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 784 from -4591521.\nAnswer: -4592305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 11. Let i(t) = -10*t**3 - t**2 - t. Let n be i(-1). Let u = -6 + n. What is the highest common divisor of a and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 17 = -t - 4*g, -t = -5*g - 7. Let f(p) = -2*p - 9*p - t*p + 26*p. Let w(r) = r - 4. Let n(i) = i - 1. Let b(d) = 4*n(d) - w(d). What is f(b(s))?\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1731*m**2\/7 + 34626*m\/7 - 120\/7 = 0 for m.\nAnswer: 2\/577, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*s - 40 = 69*s. Sort -4\/3, -56, 0.2, s in decreasing order.\nAnswer: 0.2, -4\/3, s, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -m**4\/12 + m**3\/6 + 15*m**2\/2 - 12*m. Let h be a(-3). Suppose 3*c + s = 577, -2 = h*s - 5. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -2*q - 30, 0*x + 5*q = 3*x - 37 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 7*h**2 - 10*h + 11. Let k be t(2). Solve 45*j = -k - 116 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -25 - -11ab?\nAnswer: 1186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {m: 1, b: 6, d: 3, g: 4, p: 4, i: 1}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide (-1)\/((-255)\/(-522) + 7\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 621296 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 + 135?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -5, 1, 6, -15 in decreasing order.\nAnswer: 6, 1, -5, -15, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -6*p**2 - 3*p + 3. Determine j(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9508.475nm in centimeters?\nAnswer: 0.0009508475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -39 - -62. Suppose -l = 5*d - 33. What is the least common multiple of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*q + 710 = -1163 - 1735 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = -2*q + f - 4*f, 5 = 5*f. Let v = -51 + q. Suppose -19 = -2*b + 5*h + v, -28 = -b - 2*h. What is the least common multiple of b and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -103665 divided by 32\nAnswer: -103665\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 16 = 14. Let j(h) be the first derivative of -h**3\/6 + 3*h**2\/2 - 11*h - 7. Let g(m) be the first derivative of j(m). Calculate g(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u - 8. Let q be t(-6). Let x = -346 + 348. Let h(v) = -4*v**2 - v + 2. Let o be h(-1). Sort 0, q, x, o in increasing order.\nAnswer: q, o, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -6*v - v**2 + 17*v + 7 + 2*v. Is o(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + 5 + 5 - (10 + -6 + -11 - -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9140548 to the nearest integer?\nAnswer: 3023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1483482 divided by 10374\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -6265617 divided by 44?\nAnswer: -6265617\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(100)*2)\/sqrt(5))\/sqrt(10)*-5.\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-99)\/2 + -1 + 6\/4. Let s = 2566 + -51341\/20. Calculate the common denominator of s and (-79)\/140 - (-14)\/i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 7, v: 2, s: 1, a: 4, j: 2, n: 4}. What is prob of picking 4 n?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.016 and 421.\nAnswer: 421.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 15254 - 233.98\nAnswer: 15020.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-82)\/(-26) - 5) + 2. What is the nearest to 0.1 in -1\/9, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 7 = -4*b. Let j(u) = -u + 1. Let g be j(0). Let c be (g + b\/2)*-6. Solve 0 = -c*v + 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2. Let m = 23 - 12. Let g(k) = -11 + 4*k + m + 2*k. Calculate t(g(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-90)\/10*(-2)\/12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*z - 17*z = 0. Is 4 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-20)\/15)\/(((-10)\/(-6))\/(-5)). What is the remainder when 3258\/(-45)*(-10)\/z is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*a - 26 = b - 13*a, 2*b = -4*a + 4 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -19504*s - 1970025. Determine g(-101).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2031 + 2041. What is the smallest common multiple of l and 642?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 29*r - 12. Let s(m) = -2*m**2 - 44*m - 17. Calculate -7*l(n) + 5*s(n).\nAnswer: -3*n**2 - 17*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 10:57 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/((i*i**1)\/i)*i)**(3\/8))**(-25)*(i**(-2\/7))**(1\/34)*(i**(2\/5))**(-1\/39) assuming i is positive.\nAnswer: i**(-1742107\/92820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.3  (b) 4\/11  (c) 2  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 9:05 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8815 + -3533. Suppose 12*f = j + 5746. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = i - 4*i. Solve i = 5*m + 6 + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*o + 18*o = -90. Solve -5*r = -o + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -24*o**2*q**3 - 15*o**2*q + 1080*q**3 wrt o?\nAnswer: -48*o*q**3 - 30*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 6:21 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 10*s - 24. Let v(n) = n - 1. Let b(u) = -c(u) + 12*v(u). What is b(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 3:37 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -163100, -326204, -489330, -652490, -815696, -978960?\n\"Answer: -2*r**3 + r**2 - 163093*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of -1231*i**3\/2 + 2255*i**2 + 4254*i. What is the first derivative of s(g) wrt g?\nAnswer: -3693","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 51 + 3 = 0. Suppose -4*s + j = -3*x + 35, 2*s = -2. Solve 0 = x*f + 3 + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + -8.2. Let y = 13.9 + m. Which is the second smallest value?  (a) 4  (b) y  (c) -2  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1258, 1259, 1260, 1261, 1262, 1263?\n\"Answer: t + 1257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d**30\/d)*d**(3\/8))\/(d*d**23*d*d**(3\/7)\/d) assuming d is positive.\nAnswer: d**(-2971\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 9560571 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 19097754 to the power of 1\/2, to the nearest integer?\nAnswer: 4370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 6, u: 2, j: 3, q: 4}. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of 8*r**7\/21 + 47*r**3\/3 + 3*r + 28. Find the second derivative of d(g) wrt g.\nAnswer: 320*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 n, and 1 m when three letters picked without replacement from {j: 9, n: 1, m: 3, w: 1}?\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 87 = 5*a. Calculate the remainder when 39 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*y - 2 + 4*y**2 + 10*y**2 + 4 - 11*y**2 to the form d*y + k + l*y**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1050\/(-77))\/((-376)\/(-2068)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the second derivative of -t**7\/1260 + 14*t**6\/45 - 784*t**5\/15 - 37*t**4\/6 + 90*t. Let r(n) be the third derivative of i(n). Factor r(m).\nAnswer: -2*(m - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let s(v) = -v**3 + 5*v**2 - 4*v + 2. Let a be s(4). Suppose -3 = -h + 1. Let j = h - 3. Is a at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/99*-11*(-7 - 0). Solve -12*r - q + 21 = -17*r, r = 3*q + c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 + 4*i**2 - 2*i - 4. Let j be r(-4). Let c be 1\/(-4) + 17\/j. Solve 12 = c*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 102, -4, 0, 2, 18 in increasing order.\nAnswer: -4, 0, 2, 18, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of 115\/42*w**7 + 0*w**4 + 0*w**5 + 0*w**6 - 5\/3*w**3 + 0 - 179*w + 0*w**2. Find the second derivative of k(t) wrt t.\nAnswer: 2300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5.79 - -3. Let d = 0.55 - 0.36. Let p = d + c. What is p rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 46*k*r**4 + 327*k*r**3 - k*r**2 - 4*k*r + 4*r**4 - 254*r**2 - 3*r - 1 wrt r?\nAnswer: 1104*k*r + 1962*k + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-21)\/6 - -2)*64\/(-24). Let r(n) = n**2 + 5*n - 19. Let i be r(y). Solve -3*x + 4*k = -6, x + 5*k = -0 - i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence myhm when four letters picked without replacement from {y: 5, m: 4, b: 3, h: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 19219787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1235415 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 535511?\nAnswer: 535511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4, -264, -163, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**(4\/3))**47\/(j**(-1\/6))**(-2\/11))**(24\/7) assuming j is positive.\nAnswer: j**(-592\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7058, -9035, -11018, -13013, -15026?\nAnswer: -17063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let -132086364*c**3\/7 - 88057552*c**2\/7 + 16*c\/7 = 0. Calculate c.\nAnswer: -2\/3, 0, 2\/11007197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from szszsssszsssszzszs. Give prob of picking 3 s and 1 z.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 + -2 - -12) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 463 + -468. Which is the second biggest value?  (a) -0.1  (b) 0.4  (c) x  (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q - 8. Let p be m(-8). Suppose r + 3*v - 12 = 0, 3*r + 0*v - v + 4 = p. Solve -4*g + 5 - 1 = r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 6*p + 3*z - 35, 28 = p + 5*z. Let d be -1*1 - (8 - 110\/22). What is the common denominator of d\/(-1 + p) - (-193)\/(-60) and 81\/34?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71103411 is divided by 2146?\nAnswer: 2139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*x + 2*m - 6, 8 = -2*x + 5*x + m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -113830.045 to the nearest 100.\nAnswer: -113800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/(-4))\/(9\/54). Let b = 5 + k. Solve -2*g - 1 = l, -l + 5 = -b*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.15 + 0.05. Let v = 240 - 295. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1663562 by 1.\nAnswer: 1663562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2159 - 1889. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*12\/8*(1656\/(-90))\/((-24)\/(-60)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-56) + (-2)\/7. Let d = 15 - 14.8. Let t = -0.0892 + 2.0892. Which is the nearest to d?  (a) k  (b) t  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 32, 26, 6, -34, -100, -198?\n\"Answer: -f**3 - f**2 + 4*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -5*o + 2*r + 7, -20 + 294 = 45*o + 4*r for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 3*i**3 - 9*i**2 + 2*i - 2. Let f(m) = 16*m**3 - 44*m**2 + 11*m - 11. Suppose -13*r + 12 = -19*r. Calculate r*f(t) + 11*k(t).\nAnswer: t**3 - 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -4*(-3)\/(-6) - -118?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 30\/25 + (-816)\/(-20). What is the greatest common divisor of f and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-5))\/(78\/(-65))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 12:13 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63\/2*f**3 + 1\/4*f**4 + 365\/4*f**2 + 0 + 123*f = 0.\nAnswer: -1, 0, 4, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -482.00000387 + 482. What is i rounded to seven dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*a**5 + 22*a**5 - 4*a**4 + a**4 - 6*a**5 + 5*a**2 + 8 wrt a?\nAnswer: 2400*a**2 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 51*b - 114*b + 17640. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/2 - (14 + -1). What is the least common multiple of (-1)\/(-3) - a\/3 and 6*(-104)\/132*-2 + (-66)\/(-121)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**2 - 29888*l + 1838052.\nAnswer: -4*(l - 61)*(l + 7533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1993*k - 6 = 1996*k, 4*d - 3*k - 10 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 109150538*f + 43504973.\nAnswer: 109150538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 - 12*f + 13. Let j be m(-11). Let a be (-14)\/j - (-14)\/56. What is the closest to 0 in 3\/2, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115943859 a multiple of 2091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11119 in 0, -0.63, -16, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -12. Let p be (-4)\/16 + 2\/y. Factor p + 2\/3*j**2 + j**3 + 0*j - 5\/3*j**4.\nAnswer: -j**2*(j - 1)*(5*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 16 = 3*n, -6*p - 5*n = -7*p - 18. Suppose -8 = 2*b - p*j, 3*j - 20 = -5*b - 2*j. Sort 10, b, -1, -2 in decreasing order.\nAnswer: 10, b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 + 27*f**2 - 240*f - 31. Determine s(-34).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3072 and 117922944.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 3.4  (b) 20  (c) 0.2148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 2 = -t - 3*t, 3*v = -4*t + 6. Suppose -t*o = -2 - 7. Suppose -o*x + 0*x + 21 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j - 5. Let s(z) = z**2 + 2*z. Let k be s(-3). Let n be k\/(-2)*(8\/(-6) - 2). What is o(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -4527, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14716.1 - 14716. Is 0.01544 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in -4, -456, 2, 1\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 39*z**2 - 284*z + 1267. Give t(5).\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.71 + -5.61. Is 320 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 128*x + 356. Is 29 a factor of t(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 359980589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -9*v**3 - 5*v + 5. Suppose f + f = 44. Let u(b) = 0 - f*b + 8 - 14*b**3 + 14*b. Let c = 5 - 10. Calculate c*u(t) + 8*i(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4035 + -36274\/9. Let c = 16875\/7 - 2394. Let i = 64\/21 - c. Find the common denominator of f and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2839008331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 20 = -5*k + 11, -6*n = 4*k - 28 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.2?  (a) -1\/13  (b) 0  (c) 1  (d) 4\/25  (e) 1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that f**3\/5 + 39*f**2\/5 - 4777*f\/5 + 4557 = 0.\nAnswer: -93, 5, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1517 + 2149. What is the greatest common divisor of p and 2054?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.0519, 4, -1 in increasing order.\nAnswer: -1, -0.0519, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 13*o**2 - 11*o + 6. Let u(z) = 6*z**2 - 5*z + 3. Calculate -9*u(t) + 4*x(t).\nAnswer: -2*t**2 + t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8193, -35329, -80563, -143901, -225349?\nAnswer: -324913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + n**2 + 2*n + 1. Let k be y(-1). Let w(h) = 29 + 19*h - 38*h + 23*h. Let f be w(-6). Which is bigger: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-5)\/(5\/(-9))*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4960440684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = -4*s - 26, -7*s + 1050 = -0*v + 2*v + 1081 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -f**2\/5 + 1919*f - 9594\/5 = 0.\nAnswer: 1, 9594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 j when three letters picked without replacement from jxxnvvjb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2349865, 4699730, 7049599, 9399472, 11749349, 14099230, 16449115?\nAnswer: 18799004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**2 - 10230*x - 30735.\nAnswer: 5*(x - 2049)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 116 = -5*d + 7*d, 4*s = -5*d + 106. Calculate the remainder when s is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 - 1. Let t = 14 + -14.4. Which is the closest to p?  (a) -4  (b) t  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13698 and 210.\nAnswer: 479430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -15, 9, 1621, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2\/17 + 342*z\/17.\nAnswer: -2*z*(z - 171)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 255, 545, 835, 1125, 1415?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 254 = 3*x, 19*x + w + 84 = 20*x. Round x to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1152 + 1098. Let q be (61 + -2)*(-2 + 1). Let f = m - q. Solve -t = -f*c + 2*c + 11, 0 = 2*c - 4*t + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 977*p - 4 + 3*p**2 - p**2 - 969*p. Let k be j(-4). What is the third smallest value in -0.11, 4\/7, k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -10*i**2 + 4896*i - 391341. What is p(389)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15126553 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 0.8 = -0.18373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/12 and 131\/746175426?\nAnswer: 1492350852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, -142.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-2233)\/(-70))\/11 - (-6)\/180*(-3 + 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 226 - -4?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -1. Let p(g) = g**5 + 5*g**4 + 9*g**3 + 7*g**2 + 2*g - 2. Let w(q) = 6*l(q) - 3*p(q). Factor w(i).\nAnswer: -3*i*(i + 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 7, w: 4, t: 5}. What is prob of sequence nt?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 116859*2*(-2 - (-91)\/42) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -10741 and -0.445.\nAnswer: 4779.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 5*b - 103 + 3, -3*b = -2*y - 62. Find the second derivative of 2*t - 32 + 48*t**5 - b - 1 + 0*t wrt t.\nAnswer: 960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8407.515 minutes in microseconds?\nAnswer: 504450900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {b: 16, k: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 - 6 - (4 - 2). Let c be (-4)\/x + 5\/(-3). Let i(u) = -u**3 - u. Let n be i(c). Solve 3 = w + 2*l, -n*w + 3*l = -0*w + 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -5  (b) -2\/9  (c) 3  (d) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - a - 2. Let d(z) = -361*z**2 - 4*z - 280. Let v(i) = -d(i) + 4*m(i). Differentiate v(j) wrt j.\nAnswer: 730*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4892135*0.1.\nAnswer: -489213.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -87, -1\/285, 0.3, -4.\nAnswer: -87, -4, -1\/285, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9390 - 533*b**2 + 9390 to the form q + m*b**2 + r*b and give m.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 27*g**3*o**3*u - 37*g**3*o**2 - 11*g**2*o**3*u + 2*g**2*o*u + 2*o**2*u wrt o?\nAnswer: 162*g**3*u - 66*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 12 = -2*a, -3*a + 4*g + 1534860 = 1534843 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kuuu when four letters picked without replacement from {u: 3, k: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -19*l**3 - 3*l**2 - 3*l - 2. Let t be o(-2). Let x = 196 + 32. Suppose 4*v = x - t. Solve 0 = -5*b - 6 + v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k - 86555 - 148149 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 346 = p, -4*k + 4*p + 257 = -23. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*b - b + 0*b)*(14 - 108 + 352 + 351) in the form k + r*b and give r.\nAnswer: -3045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 542, 542, 544, 548, 554, 562?\n\"Answer: p**2 - 3*p + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 15, 13, 11, 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.5 - -2. Let v = c + -3.5. Let y = 80927.4 + -80927. What is the third smallest value in y, -6\/5, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 95713, 191418, 287125, 382834, 478545?\n\"Answer: x**2 + 95702*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 20 = -28. Solve -m + 6*m - f*b - 29 = 0, -5*b - 35 = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -64  (b) 0.02  (c) -2\/7  (d) -1  (e) 0.5  (f) -0.8  (g) -0.21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 295\/5109?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 21250.3473 minutes?\nAnswer: 2.108169375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -376013 rounded to the nearest 1000?\nAnswer: -376000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.1  (b) 3  (c) -43  (d) 0.04  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-26)\/8 + (-2)\/(-8). Let s = 6 + g. Factor 2 + 6*c**5 - 2 + 12*c**3 + s*c**4 - 2*c - 19*c**4.\nAnswer: 2*c*(c - 1)**3*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*s = 5*w + 82*s + 5, w + 70 = -4*w + 18*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 29, -3, -7, 43 in decreasing order.\nAnswer: 43, 29, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q - 4*q + 5*q)*(3 - 5 + 3)*(5*q**2 + 2*q**2 + q**2).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 57 = 24*u. Let a(o) be the first derivative of u - 1\/2*o**2 + 4\/3*o**3 + 0*o. Factor a(j).\nAnswer: j*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -94 divided by 294?\nAnswer: -47\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c\/((c\/(c\/(c\/c**(2\/13))*c)*c*c)\/c)))\/c*c\/((c**(1\/12)\/c)\/c)*(c\/c**5)\/c**(2\/9))**(1\/20) assuming c is positive.\nAnswer: c**(-1151\/9360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -1\/6*x**4 + 0*x + 0*x**3 + 0 - 6*x**2. Let f(l) = l. Determine f(u(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -3*i + 15. Solve -i*g - q - 1 = 0, 5 + 0 = -2*g - 5*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.188 - -85.812. Let h = n + -86.0051. Round h to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -213*l - 6. Let d(y) = 28*y - 3. Calculate -6*d(m) + 2*w(m).\nAnswer: -594*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 56751 (base 8) in base 7?\nAnswer: 130043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4216\/6324*(-2 + 1 - 20).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 60 + -42 - (-158 + 87)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5194.94866 - 5195. Round o to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.06 + -5.06. Let i = -5.3 - p. Let x = -3.22 + 0.22. What is the third smallest value in i, -0.5, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2316143 and -3.\nAnswer: 2316140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -17*k**2 - 8*k. Let z(f) be the first derivative of 2*f**3 + 3*f**2\/2 + 5. Give -4*v(q) - 11*z(q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**7)**(3\/7)\/(l*l\/(l\/(l**30*l))*l\/(l\/(l\/l**(-5\/6)))*l) assuming l is positive.\nAnswer: l**(-1571\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21026*v + 3523 = -21029*v - 914. Which is smaller: v or 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1270 and 260.\nAnswer: 33020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of 583*u**4 - 6292*u**3\/3 + 423*u + 1. What is the second derivative of v(w) wrt w?\nAnswer: 13992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 240 = -2*k, 5*k = -a + 3*a + 600. Suppose -4*l + k = -5*f, 9 = -l + 2*l + 4*f. Let s = l + 2. Solve 4*t - 7 = -s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q = 3*l - 13, -8 - 8 = 4*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -3. Which is the third biggest value?  (a) -0.5  (b) -5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14712 divided by 6946.\nAnswer: 7356\/3473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(153)*1 + 5)**2.\nAnswer: 150*sqrt(17) + 3850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add -12931206631 and -0.0829.\nAnswer: -12931206631.0829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -28880294 * 0.2\nAnswer: -5776058.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3095\/264 - -277\/24. Put 5, 9, 1\/3, -0.5, o in descending order.\nAnswer: 9, 5, 1\/3, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*((j*j*j*j\/(j**(2\/37)*j)*j)\/j)\/j*j*j\/(j*j\/j**(-3\/2)) assuming j is positive.\nAnswer: j**(107\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1449, 1422, 1347, 1200, 957, 594, 87?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 26 - 51 + 18 - m as f + g*m and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the third derivative of -p**8\/336 + p**7\/210 - 53*p**5\/60 - p**4\/3 - 5*p**3\/3 + 4343*p**2. Find the second derivative of i(w) wrt w.\nAnswer: -20*w**3 + 12*w**2 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + -1 + (1 - -1). Let j = -0.31 + 0.43. Let r = j + 0.38. Sort o, r, -1\/2 in decreasing order.\nAnswer: r, -1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -2*g**5\/5 + 25*g**4 - 576*g**3 + 5632*g**2 - 16384*g + 639. Factor t(j).\nAnswer: -2*(j - 16)**3*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9)\/(-36) - 15\/(-4). Suppose -t*h + 560 = h. Let n = -62 + h. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 22 - 205241355?\nAnswer: -205241333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 14, -241, -736, -1477, -2470, -3721?\n\"Answer: -n**3 - 114*n**2 + 94*n + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 22992196*n**3 - 16949966*n?\nAnswer: 137953176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 - 11*a - 22. What is i(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 431, 798, 1099, 1334, 1503?\n\"Answer: -33*h**2 + 466*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z**2 + 2357. Let m(v) = 566*v. Determine u(m(j)).\nAnswer: 640712*j**2 + 2357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(72) - (0 + sqrt(2))*1.\nAnswer: -1 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 - v**2 - v - 4. Let a be u(0). Let w be (-38)\/a*(2 - 0). Let x = 46 + w. Calculate the highest common divisor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 * -38844234\nAnswer: -349598106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -68*g + 9517 - 7477 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 726865144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2110110010112201 - -10?\nAnswer: 2110110010112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 AM and 3:14 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 599.29871 - -25916704.70129. Let o = k - 25917269.000082. Let y = o - 35. What is y rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 1 - 3*v + 2 - 6 + 4. Let o(d) = -d**2 - 5*d - 4. Let p be o(-3). Let z be -2*((p - 3) + 0). Give a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 77, 0 in increasing order.\nAnswer: -2, 0, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 341285 and 9751.\nAnswer: 341285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddj when three letters picked without replacement from ddddddddjdddd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t - 26*t = -96. Let g be -1*t - (-119)\/21. Let n(x) = 3*x + 13. Let s be n(-6). Which is the second biggest value?  (a) 1\/10  (b) g  (c) s  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -52 (base 16) to base 8.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b**2 + 2*b**2 - 2*b**2)*(-1 + 4 + 0 + (-2 - 1 + 1)*(2 - 5 + 4)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/4 and -121\/15100.\nAnswer: 15100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -28\/5  (b) 2\/11  (c) 2\/13  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**2\/3 - 244972*d\/3 + 7501410098\/3 = 0.\nAnswer: 61243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tqbt when four letters picked without replacement from {t: 4, q: 7, s: 4, b: 3}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 2*z + 40. Let i(y) = -2*y**3 - 2*y - 39. Calculate -4*g(u) - 3*i(u).\nAnswer: 2*u**3 - 2*u - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**2 + 11*k - 22. Let b be o(2). Solve -17*u + 13 = -b*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4716557.\nAnswer: 31, 152147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 (base 10) in base 8?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((3\/(-80))\/((69222\/695)\/(-166)))\/((-129)\/(-24))?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1390, 1389, 1388, 1387, 1386, 1385?\n\"Answer: -o + 1391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1026.4 and 6.3.\nAnswer: -6466.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 - 6*y**2 - y - 4. Let j(s) = s**3 - 7*s**2 - s - 5. Let k(x) = 3*i(x) - 2*j(x). What is k(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of 53\/6*y**3 - 45*y - 9\/2*y**2 + 0. Differentiate g(o) wrt o.\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 4*n = 12, -f + 5*n = -5*f + 18. Suppose -3*m = -2*j - 12, -2*j + 20 = 4*m + 4. Solve -2\/3*q + j - q**f = 0 for q.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5817976\/337 - -17264. Let s = x - -42847\/2022. Find the common denominator of s and 61\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17780 = 1177*j + 1051*j - 30483 - 5209 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -2*n**3 + 22*n**2 - 934*n + 9147. What is d(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 245670563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.119 - 7069.14?\nAnswer: -7070.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -147388825.9 - -14818275.9. Let l = -132570535.00000075 - a. Let d = -15 + l. Round d to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 292119007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102*a + 102*a - 2*a**2 + 51.\nAnswer: -2*a**2 + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (467\/(-2))\/(7 - (-1336)\/(-192)). Is b at least -5603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 15) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21612*v**2 + 7*v**3 + 1 - 21678*v**2 - 1 + 2*v.\nAnswer: 7*v**3 - 66*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o + 204 = 4*k, 5*k - 9*k = -4*o - 192. What is the smallest value in 4, -0.02, 11, 0.5, k?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in nine tenths of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 168 and 525.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25.8*39.\nAnswer: -1006.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31\/3 + 11. Let t = 286 + -2578\/9. Which is the smallest value?  (a) t  (b) u  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31240 by 55.\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -110001010001010100110 (base 2) in base 15?\nAnswer: -21d587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/((-4)\/(-6))*1. Suppose -296*p - 3432 + 2840 = 0. Which is the third smallest value?  (a) -0.2  (b) m  (c) p  (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16565 = -62*m - 2305. What is the remainder when m is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -41*g**4*j - 5*g**4 + 20*g*j + 3*g wrt g?\nAnswer: -492*g**2*j - 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -167*w - 5. Let m(f) = f**2 + 8*f + 12. Let n be m(-5). Let c be o(n). Let i = -51 + c. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*k + 3 - 3 + 1 - 1 + k + 5*k - 2*k - k + 1 + 2*k - 1 + (0 + 2 + 0)*(2*k + 0*k - 3*k) - k + 2 - 2 - 24*k + 3*k - 80*k to y + s*k and give s.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 350\/(-30)*(-1647)\/5.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3401530 to the nearest integer?\nAnswer: 1844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(0 + (sqrt(63) - (5*sqrt(1008) + sqrt(1008) + sqrt(63))**2)).\nAnswer: -15*sqrt(7) + 196875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -3. Let t(l) = l**2 + 1 - i + 0. Let w(u) = -1 - u + 1. Calculate w(t(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*c - 1880 = 914 - 22 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23681\/(-6699))\/(-17) + (-62)\/(-1798).\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 2\/19  (b) 21360  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -55 - -59. Let a(l) be the first derivative of -1\/4*l**2 - 1\/10*l**5 + 1\/8*l**y + 0*l + 2 + 1\/6*l**3. Let a(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*u + 5*u. Let g = 5 - u. Suppose -5*x + 27 = -2*z + 3*z, g*x + 3*z = 31. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -834048.8 * -0.13\nAnswer: 108426.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 8, r: 2, w: 4}. Give prob of sequence wr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eis when three letters picked without replacement from {s: 4, e: 9, i: 4}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 1072 = -1024. Calculate the smallest common multiple of n and 156.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29319364 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: Let f be ((-2)\/3)\/((-32)\/(-8976)). Let u be (-1842)\/18 + 4\/3. Let d = u - f. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p + 0*p - p)*(1 + 1 - 5) + (-3 + p + 3)*(0 - 3 + 2).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -3 + ((-194)\/(-70) - (-44)\/(-77)). Sort -0.06, n, 1 in decreasing order.\nAnswer: 1, -0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2234375 and 6184750?\nAnswer: 773093750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0449 - -5.0951. Let h = v + -5. Let x = h + -0.1391. What is x rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.93 - -1.07. Let q = 7.7 + -8. What is the third biggest value in q, 0, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4832*b. Let c(v) = 2*v**2. Give c(o(w)).\nAnswer: 46696448*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 12:55 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 713\/115 - 4\/15*(-117)\/(-26)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45.476 rounded to 0 dps?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*b + 98 = 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-65)\/8 - -3*5\/120. Which is the nearest to -1?  (a) n  (b) 2\/5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67872 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 202077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.5  (b) -1  (c) -0.4  (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -808 = -4*d + v, 0*d - 183 = -d + 5*v. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -277298, -554400, -831502, -1108604?\n\"Answer: -277102*q - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from aaahaha.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 31428 times 0.111?\nAnswer: 3488.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, z: 8, k: 2}. Give prob of picking 1 k and 1 z.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + -5.5. Let f = 12.5 + y. Are f and 0.02 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6612 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -5*(42\/15 + -2). What is the biggest value in 1\/2, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2460 - 2501.39. What is j rounded to 0 dps?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 10, -11\/10, 1174, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*z**2 + 5*z**2 - 8*z**2)*(z**2 + 2*z**2 - 4*z**2) + z**4 + 0*z**4 + z**4 + (5 - 2 - 1)*(-3*z**3 + 3*z**3 - 2*z**4) + 4*z**3 + z**4 - 4*z**3.\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 7295649 divided by -479\nAnswer: -15231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*p**4 + 1208*p**3 + 1849 wrt p?\nAnswer: 8*p**3 + 3624*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3\/299, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 53214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*x = -3*x + 88*x - 276 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 - (40 + -84) - -93?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 315.6 and 2362446719.\nAnswer: 2362447034.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2*-12*2\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 1 + 291*r - 306*r)*(2*r - 3*r - 6*r) to i + s*r + p*r**2 and give p.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 - m + 3. Let g be s(4). Suppose -g = -5*b + 15. Suppose -c = c - b. Calculate the remainder when 7 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 + -8.8. Let h = 2.2079 - a. What is h rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -101.\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -6*i**2. Let f(l) = -l - 2. Let b(s) = -14*s - 4. Let y(o) = -13*o - 6. Let k(z) = -3*b(z) + 4*y(z). Let w(p) = -6*f(p) + k(p). What is w(c(v))?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 0.5, -2\/23, -360 in decreasing order.\nAnswer: 0.5, 0.1, -2\/23, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(486)*-2 + sqrt(384) + sqrt(384)*-3 + sqrt(384))\/(((sqrt(36) + sqrt(108)\/sqrt(3))*-4)\/(sqrt(144)\/(-1*sqrt(12)))).\nAnswer: -13*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -63 times -34743?\nAnswer: 2188809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -305 + 289 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -27. Let t be (-44)\/(-5) + 4\/s. Let k = 7 - t. Sort k, 1, 3 in increasing order.\nAnswer: k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*r + 132*r + 4*y - 95 = 0, -2*r + 55 = 5*y for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20 and 1486.\nAnswer: 14860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**3 - i**3 + i + 2*i**3)*(i**2 - 4*i**2 + 4*i**2).\nAnswer: -2*i**5 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (223*j + 221*j - 387*j)*(-j**2 + j**2 + 2*j**3).\nAnswer: 114*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1273 - 1268. Which is the closest to -4?  (a) 0.5  (b) g  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -20*r + 5. Suppose -4*k + 4 = 44. Let c be d(k). Round c to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -5*a - 2*a. Is 4 a factor of 1\/(a - 5) + 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - t + 2, -319*t + 323*t = -5*h + 11. Let j = 0.3 - 0.7. What is the third smallest value in h, j, -5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of (10\/(-8))\/((-6)\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -51*i + 742. What is the thousands digit of a(-38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express l**2 + 2 - l**3 - 3*l**2 + 6*l**2 as b*l + s*l**3 + x + q*l**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-6) + (-117)\/27. Let b(g) = -g**3 - 6*g**2 - 4*g - 4. Let j be b(-6). List the prime factors of 1*j - (3 + z).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 229025754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68007?\nAnswer: 3, 22669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 126858*n**2 + 28*n - 547 wrt n?\nAnswer: 253716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1121059 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 3*j - 6. Let y be c(7). Let m be (-9)\/12 - -15*(-2)\/(-8). Solve 0 = 5*p + 3*l - y, 0 = -4*p - m*l + 1 + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 3*j**5\/2 - 93*j**4\/8 - 9*j**3\/2 + 93*j**2\/8 + 3*j = 0.\nAnswer: -1, -1\/4, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -488754, -977488, -1466222, -1954956, -2443690?\nAnswer: -2932424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 5*g = -18. Let o(m) = m**2 + 5*m - 2. Let v be o(g). Solve -4*u + 4 = 3*t, -2 = u - t + v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13.25198 + -13.26. Round q to four dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of t**3\/3 + 3*t**2\/2 + 178*t - 24. Is 20 a factor of l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.345, -0.01, -3, 0.01 in descending order.\nAnswer: 2, 0.01, -0.01, -0.345, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7546*j**4 + j**3 - 25537*j**2?\nAnswer: -181104*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 290048652 and 480213.\nAnswer: 290048652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h + 22 + 5*h + 49 + 22.\nAnswer: 2*h + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18471 - 18357. Solve 254*c - 235*c = -t for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2 + 3*p + 2. Let f = -10 - -5. List the prime factors of a(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 2) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 89636 - 89645. Let a = 7 + -4. Sort q, a, -2 in increasing order.\nAnswer: q, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 - -36 - -31 - (-5 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 48*h**2 - 33*h - 52. Let a be j(25). Suppose 35*p - 16042 = a. What are the prime factors of p?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3004 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = l - 5 + 3, 0 = -4*l + j + 8. Let x = l - -4. Solve -4*k - 3*i - 29 = 0, x + 1 = k - 4*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + -11bc3?\nAnswer: -11bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-2) - 3\/(-12). Which is the closest to -2?  (a) -3  (b) j  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - u - 1290. Let l = u + 1435. Round l to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12523772 to the nearest integer?\nAnswer: 3539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 70*h - 49824463 + 49829643 for h.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - 308*w = -313*w - 32, 0 = 2*s + 5*w + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 3 = -7. Suppose h = -t*y + 21, -5*y + 2*h = h - 29. Suppose -y*o + 93 = -p + 5, 2*o - 22 = -4*p. What is the greatest common divisor of o and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 326736 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 136686041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 277.88529 months?\nAnswer: 2.31571075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -171898199\/75910 + 2\/37955. Let d = w - -2307. Let c = -30371\/12 + 2529. What is the common denominator of d and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 4*t - 9, -4*t + 17 = 6*h - h. Put -6, h, -5, 5 in descending order.\nAnswer: 5, h, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 82*d + 1647. Let l be w(-35). Suppose 0 = 3*k + 2*k - 15. Solve k*x + l*x = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssksssks. What is prob of sequence kk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**3 + s**2 - 3*s - 3. Let x be i(-2). Let a be 32\/(16\/(-4)) + 0 + 3. Suppose -5*l + 25 = 5*u - 0*l, -5 = -u + 2*l. Put a, u, x in decreasing order.\nAnswer: u, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7.62?  (a) -5  (b) -6  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1242?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 14*s - 10*s + 10 = 0, 5*m - 2 = -2*s. Solve 0*n - m*n = -6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19674 divided by 18?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 8 - 5) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3708, -27987, -93344, -220317, -429444, -741263?\nAnswer: -1176312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (637 + j - 637)*(-2*j - 31*j - 34*j + 1)*(2*j - j + 0*j).\nAnswer: -67*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 + (-23 - -4) + -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6\/23, 3, -0.3, 18.2, -0.5, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 942 + -939. Let o = -6.7 + 5.7. What is the third smallest value in -0.1, 10\/11, o, y?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q = 12*q. Let b be (18\/15)\/(45\/150). Let v = 6 + -6. Solve -b*l = 2*i - 12, q = 5*i - v*i + 4*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111111011101010 (base 2) in base 10?\nAnswer: -32490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90) - (sqrt(90) - (sqrt(90)*-2 - sqrt(90) - sqrt(90))) - sqrt(90))\/(sqrt(2)*-3*-1))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 1\/5, 0.3, -2, 23\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 588 + -572. What is the remainder when 511 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 PM and 12:27 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101197 is divided by 50592?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507913386.\nAnswer: 2, 3, 17, 127, 39209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*p + 23*p - 55*p.\nAnswer: -126*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 17293 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7894 - -7894.5. Which is the second biggest value?  (a) -0.3  (b) -29  (c) -4  (d) x  (e) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 - 56289 = -42*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -6 + 6*p**2 - p**2 - 8 + 12 + 17*p - 43*p. Let c(g) = -4*g**2 + 26*g + 1. Give -4*c(d) - 3*i(d).\nAnswer: d**2 - 26*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2*u**3)*(26 + 26 + u**2 - 60) - 12*u + 23*u + 15*u**5 - 4*u.\nAnswer: 17*u**5 - 16*u**3 + 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -21, 25.\nAnswer: -21, 0, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*3*sqrt(539).\nAnswer: -21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -8183*h + 1112853. Give x(136).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-470)\/25*(-410)\/1845*(-15)\/4*1?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of k**3\/3 - 7*k**2\/2 - 49*k - 8. Let o be n(11). Which is the third biggest value?  (a) 0.5  (b) 4  (c) -2  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16432004 and 1288.\nAnswer: 5291105288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/((a**(2\/21)*a*a)\/a))\/(a\/a**4*a))\/(a\/((a\/(a**(-1\/7)\/a)*a)\/a))**(3\/5) assuming a is positive.\nAnswer: a**(272\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide ((-2)\/5)\/(7\/(-840))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -390 + 78*y + 390 + 0*y + y - 5*y + (-4 + 2*y + 4)*(-4 - 3 + 6) + y + 0 + 0 - 2 + y + 2.\nAnswer: 74*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 3*a - 35, v - 4*a = -3*a. Let b be (-1 - -1) + 7 + -3. Sort b, -4, v in increasing order.\nAnswer: v, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 - 246\/(-78)) + 386\/26. Suppose 11 - 86 = -o*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 818 and 89692.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -443*c + 1199*c - 2223396 = 0. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 278\/14 + 3*5\/105?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 divided by 13608.\nAnswer: 53\/13608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 5*t = 7*o - 5, 0 = -5*o - 4*t - 22. Let z = o - -2. Suppose 0*l - 3*l + 90 = z. What is the highest common factor of l and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 9*a - a + a + 21.\nAnswer: -9*a + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 32130748 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -246 - -163. Let i = 81 + g. Let y(d) = 3*d + 1. Determine y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1200 + -1?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**3 + k**3 - k**5 - 3*k**5 - 10*k**5 - 4*k**5 + (0*k**2 + 2*k**3 + 0*k**2)*(-3 + 3 - 2*k**2) + k**5 - k**5 + k**5 + 4*k**5 - k**5 - k**5.\nAnswer: -19*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -6*m**2 - 3*m + 1. Let y(i) = -i**2. Let t(s) = -v(s) + 4*y(s). Let h be 16*(-9 - (-119)\/14). Is t(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 38 + -22. Calculate the remainder when 9 is divided by (-72)\/h*(-4)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-45)\/(-10) - 3)*-8*1\/(-6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37662111, -37662109, -37662105, -37662099, -37662091, -37662081?\nAnswer: -37662069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1164*m + 1341*m + 1669*m)*(-4 + 4 - 5*m).\nAnswer: -9230*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 130 + -150. Let a be ((u\/8)\/(-1) + -1)*32. What is a rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4426360 divided by 4\nAnswer: -1106590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 + 22*d**2 - 22*d + 25. Let c be n(-23). Suppose c*u = 32187 + 5771. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y = 16*i + 244, 4*y = -3*i + 8*i + 91 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 185348577 divided by -111.\nAnswer: -1669807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.2457 + 2.352. What is w rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1307 + -1312. Suppose -2*t + 1 = -t. Sort u, 4, t in decreasing order.\nAnswer: 4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (1 + -1) - (-69 - (-65 + 13)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1040 + 16889. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12\/8*-2*(-252)\/27. Solve -p*n + 70 = -14*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/24)\/((-12)\/63)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 2*h**5 - 346*h**4\/7 + 866*h**3\/7 - 662*h**2\/7 + 40*h\/7 + 88\/7 = 0?\nAnswer: -2\/7, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 3 = 2*i - 11, r = 2*i - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 3)*(-10 + 10 + 4*o)*(-1090 + 702 - 11*o**2 + o + 17*o**2).\nAnswer: 24*o**3 + 4*o**2 - 1552*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-5)\/(-4))\/((-70)\/(-560)) - 6. Solve -n - 9 = 2*n, 4*p - i*n + 8 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -360175*g*o**2*v**2 - 10*g*o**2 - o**2*v**2 - 36*o**2 - 15*o*v**2 - 1644*o*v with respect to g.\nAnswer: -360175*o**2*v**2 - 10*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7521250 divided by 2735?\nAnswer: 2750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {t: 12, w: 2, g: 2, q: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of f**6\/24 + 5*f**4\/4 - f**3\/3 - f**2 + 50. Let k(h) be the third derivative of d(h). Differentiate k(a) with respect to a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 + -18. Let b(y) = -y**2 - 11*y - 5. What are the prime factors of b(u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6701*w - 46 + 24 - 3744*w + 22.\nAnswer: 2957*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2100 and 11732?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -k**3 - 3*k - 3 + 14*k**3 - 7*k**3 to t*k + z*k**3 + v*k**2 + y and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/12*(-23)\/(1771\/22)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**2 - k**2 - k**2)*(k**3 - 4*k**3 + 8*k**3) + 35*k**5 - 80*k**5 + 39*k**5 - k**5 - 5*k + 5*k.\nAnswer: -22*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 2*x**2\/13 + 19220*x + 1748922\/13 = 0?\nAnswer: -124923, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g**2 + 10*g + 34. Give t(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9 - (-1 + 1 + 1). Let u be -16 + 18 + 4 + -3. Find the first derivative of q - 2*g - 25*g**u + 2*g + g**3 wrt g.\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + (-28)\/(-18))*12\/(-30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, c: 7}. What is prob of picking 1 c and 2 f?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 419363147 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: Which is the closest to 2?  (a) 0  (b) 2  (c) 0.16164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + -0.6. Which is the closest to 2\/7?  (a) n  (b) 2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 9 = -3*y. Let s be y + (3\/1)\/(-3). Let f be 3 - 1 - (s + 0). Solve -6 + f = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s + 2 - 14 = 0. Calculate the smallest common multiple of s and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g - 6. Let b be y(-6). Suppose b = o + 3 - 7. Let w(i) = -i**2 + 2*i + 1. Determine w(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11403, -45572, -102507, -182208?\nAnswer: -284675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17.2 + 13.2. Is -8 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -26839486, -26839484, -26839482?\n\"Answer: 2*p - 26839488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.38 and 358601764426.\nAnswer: 358601764426.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43809649 is divided by 678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*w**3 + w**3 - 14*w**3)*((2 + 0 - 1)*(-4 + 5 - 2) + (0 - 1 + 3)*(-1 + 4 - 5))*(-3*w - w + 2*w) to y*w**3 + r + a*w**4 + c*w**2 + f*w and give a.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24448875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 608564478.\nAnswer: 2, 3, 29, 709, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the second derivative of -i**7\/21 - 57*i**6\/10 + 149*i**3\/6 - i**2 + 448*i. Find the second derivative of l(c) wrt c.\nAnswer: -40*c**3 - 2052*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 844, 1686, 2528, 3370, 4212, 5054?\nAnswer: 5896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 74, 163, 264, 383, 526, 699, 908, 1159?\n\"Answer: g**3 + 82*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - -4 - (-4 + (-13 - 0 - (-21 - -25))).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*1\/(-2))\/(28\/(-42))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 22785 divided by 1657\nAnswer: 22785\/1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20\/(-12) - (-31416)\/(-72). Sort 4, j, 0 in increasing order.\nAnswer: j, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s - 7. Suppose t + 67 = -m, 3*t + 66 = -m + 3. Let c be 830\/(-14) - (3 + m\/21). Let x = -65 - c. Calculate d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2*a. Let w(o) = -100*o**2 - 1130. Give w(n(y)).\nAnswer: -400*y**2 - 1130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 166276*c - 1740257*c - 663899*c.\nAnswer: -2237880*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 2\/23289?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(1\/3)\/(x\/(x*x\/(x**(-3\/5)\/x)))*x**(2\/23)\/(x**(-2\/7)*x) assuming x is positive.\nAnswer: x**(5569\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 323a95 (base 11) to base 12.\nAnswer: 20b752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71797.\nAnswer: 11, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*o**2 - 64*o**2 + 38*o**2 + 2355*o.\nAnswer: 12*o**2 + 2355*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*r + 47*r = 744. Let u = 384 - r. Solve -f + 5*c = f - u, -5*f - 5*c - 40 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 3\/4*z + 1\/4*z**2.\nAnswer: z*(z - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -2*j**5 - 1474*j**4\/7 - 6458*j**3\/7 + 99058*j**2\/7 + 68840*j - 56000 = 0.\nAnswer: -100, -7, 5\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1382262?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 1720941091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 8*r**3 + 5*r**2 + 13*r + 7. Is p(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 5, 12, 19, 26, 33?\n\"Answer: 7*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -390115190*q**3 - 75131390 wrt q?\nAnswer: -1170345570*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4513\/210 + 109\/5. Let w = t - -1\/42. Factor 4\/3 + 5\/3*p + w*p**2.\nAnswer: (p + 1)*(p + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1422080 - -85?\nAnswer: -1421884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n + 10*s + 15701 = 7*s, -3*s = 5*n - 11215. List the prime factors of n.\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 + 1. Suppose -v*q - 93 = -249. Let k = 14 - 11. Solve -3*s + q = k*a, 0*a = a - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.168930176 rounded to five dps?\nAnswer: -0.16893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 3*c + 33 + 4, -3*z - 27 = 2*c. Let o be (z + 1)*10\/(-4). Calculate the greatest common factor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 0, 0 = -4*z + v + 94 + 114. Let j be z\/(-65)*10\/(-4). Let n = 2\/41 + 150\/287. Is n not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*r**2 + 59*r**2 + 40*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/7)*n*n\/(n*n**(-9\/7)))**41 assuming n is positive.\nAnswer: n**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15118 <= 15117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 10 + 255*h**2 - 122*h**2 + 465*h**2.\nAnswer: 598*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 14*s**3 - 2*s**2 + s. Suppose 4*f = -4*w + 20, -5*w + 4*f - f = 7. Suppose 77*i = 4*i + 7519. What is the remainder when i is divided by y(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -169 + 296. Let u = -124 + j. Solve -4*s - 4*d = 0, -u*d = 3*s - d - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2565 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*m - 257 = 205. Suppose -2*g - 9 = 4*l - 35, 54 = 2*g - 3*l. Calculate the greatest common factor of g and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 76 + -76. Suppose -3*r - 1 = -2*p + 7, t = -4*r. Suppose -3*a + 0 = 2*j - 40, -3*j - 45 = -3*a. What is the lowest common multiple of p and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*c + 1, -3*r = -2*c + 3*c - 16. Suppose l = w - 0*w + 16, -90 = -5*l - r*w. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -24 in 0.2, 0.1, 3, -0.03, -282?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjosjsojojojssooj. What is prob of sequence ojs?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the first derivative of w**3\/3 - 11*w**2\/2 + 8*w - 3. Suppose 0 = 3*b + 16 - 58. What is the remainder when b is divided by n(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1440 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7784 and 73948?\nAnswer: 147896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 7*y = -3*j + 66, -4*y = -j + 62. Let b = -15 - -33. Let k be 0\/(b + y + (-5 - -1)). Sort k, 0.5, -1, -0.3 in decreasing order.\nAnswer: 0.5, k, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -5*q + 4*p, -51*q + 2*p = -54*q + 17. Solve -2*a + f - 4 + q = 0, -6 = 2*a - 4*f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g\/g**(-7)*g)\/g**(6\/5))**10)**50 assuming g is positive.\nAnswer: g**4400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 158295511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**4\/15 - 16*d**3\/3 + 218*d**2\/5 - 552*d\/5 + 72 = 0.\nAnswer: 1, 3, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 5, 15\/11, 32?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -1523180, -0.1 in descending order.\nAnswer: 0.3, -0.1, -1523180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5540 is divided by 923.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.2 or -4884.865?\nAnswer: -4884.865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - z + 1994 - 1983 = 0, -z = 4*j + 29 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 - 2*f**2 + 9*f + 27. Give w(-5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l - 2. Let w(o) = o**3 - 24*o**2 - 51*o - 28. Let p be w(26). Give i(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -532 divided by 2?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kmkkmkkmkmkmkkmkkkm. What is prob of picking 1 m and 2 k?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 794700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8472 and 2360158.\nAnswer: 28321896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16691 + -16403. What is the least common multiple of w and 636?\nAnswer: 15264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4225046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 4 + 94 = 0. Suppose 6*s = 12*s - c. Suppose 5*w - 2*g = 137 + 126, 3*w = -s*g + 162. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.2, -236, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 4*r + 6 = 0. List the prime factors of (2\/(-3))\/((-4020)\/2007 + r).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 5*p - 0 + 16, 5*p = 3*b - 2. Calculate the lowest common multiple of b and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**3 + 1065*s - 1065*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2\/6)\/((-3)\/(-63)). Suppose 6*w - d = 5. Suppose 2*z = -2*m + 70, -3*z + 4*m + w + 68 = 0. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 220476 (base 8) to base 11\nAnswer: 506a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - 14 - -5 - (2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.174 to 1 dp.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 59 + -55 + (-1 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + 8*m**2 - 8*m + 12. Let s(w) = -w**2 - 3*w + 1. Let q be s(-5). Let i be g(q). Let l(a) = 3 - 5 + a**2 + i*a - a. Calculate l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*n + 10 = 31 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000727497 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of 5*n**4\/3 + 55*n**3\/6 - 15*n**2\/2 - n. Factor v(t).\nAnswer: 5*(t + 3)*(4*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-8))**(-43)\/(j*j*(j*j**7*j)\/j*j**(-13)) assuming j is positive.\nAnswer: j**347","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -143, -171, -87, 151, 585, 1257, 2209, 3483?\n\"Answer: 7*f**3 + 14*f**2 - 119*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 12355370.37 microseconds?\nAnswer: 0.000020428853125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*h = 35*h + 87. Is h a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -16584.8067 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74201 is divided by 97?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**6)\/h**(-1)*(h*h\/h**3)\/(h\/((h\/h**2)\/h)*h) assuming h is positive.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -18705*b + 156. Is q(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 0*k + 2*r = 56, -2*r = 3*k - 180. Suppose -5*a - j + k = -212, 2*a - 105 = -5*j. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13727?\nAnswer: 7, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.322 at most -15541\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 24487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 53860000 to the nearest one million.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 7*(-17)\/((-289)\/(-17)). Let s(i) = -7 + 5 + 15 + 6 - 11*i. Let y(m) = 6*m - 10. Give a*y(n) - 4*s(n).\nAnswer: 2*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 5*k = 287, -87 = -4277*t + 4279*t + 4*k + 141 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 + 6*c - 4. Let y(j) = j**3 - 13*j**2 + j - 19. Let l be y(13). Let v = 0 + l. Determine w(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -26  (b) -47  (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2921*s - 1195*s - 118608 = -1605*s + 1725*s for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*i + i - 39 = -45*i + 77 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-10))\/((8\/70)\/4). What is the third derivative of 5*k + a*k**2 + 125*k**3 - 94*k**3 - 5*k wrt k?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25 - 12. Suppose -5*u + 138 = x, 2*u + w = -x + 67. Suppose -69 = -3*b - 2*a + 4*a, -3*b - a + 60 = 0. What is the highest common divisor of b and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17\/(-1989))\/(784\/(-882)).\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 9248414 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 127 = 4*s - 4*f, -f - 117 = -4*s. Calculate the highest common divisor of s and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r - 4. Let q be g(-7). Suppose -x + 3 = -q. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 11:30 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 5 = -3*x - 1. Solve 0 = -5*n + x*c + 28, 3*c = 25*n - 21*n - 23 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 4*c = -17, 100*g - 95*g + 5*c - 35 = 0. Calculate the remainder when 201 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39897 is divided by 210.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1069 is divided by 102.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1242243 - -1242249. Let a be -1 - -1 - (-14)\/1. What is the highest common factor of a and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + 5*g - 9, -4*x + 8*g = 3*g + 7. Solve -d + 0*d = -4*w - 28, 0 = -x*d - 3*w - 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -32280, -64361, -96442?\n\"Answer: -32081*s - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10272 + 11760. Calculate the lowest common multiple of 33 and h.\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**26)\/g**(-2\/79) assuming g is positive.\nAnswer: g**(2135\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(252) + 0 + sqrt(252)) + sqrt(252) + 0)*6)**2 + 5.\nAnswer: 1097717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15233 is divided by 534.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33)\/((-132)\/80) - 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l*t**3 + 8*l*t**2 + 2*l*t + 60750*l - 23234*t**3 - 28*t**2 + 4*t - 8 wrt t.\nAnswer: 12*l*t + 16*l - 139404*t - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from chhhhccchccc. Give prob of sequence chhh.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 1 - 19. Let a = u + -5. Let v be (-1)\/(-4) - (-28)\/(-48). Which is bigger: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -160 - -310. Suppose -4*r - 246 = -2*o - 48, 2*o - d = 3*r. Let g be (-4)\/(-20) + r\/(-10). Solve 0 = g*n - n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*sqrt(130))\/sqrt(10).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -85093494 divided by 6.\nAnswer: -14182249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 105521151 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-105)\/(-2)*(-24)\/(-18). Let n = q - 25. Let s be 2\/(-6) - 3\/n. Is s at least 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) 2\/21  (b) 5  (c) 3\/40  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(2*1\/(-4)). Suppose l = 4, -5*q - g*l + 23 = -4*q. Let o be q + (-2)\/(-4)*-2. Let b(c) = c**2 - 9*c + 9. What is b(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 1  (b) -0.6  (c) -2\/13  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11 * 5056.\nAnswer: -55616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5889277 (base 10) in base 4?\nAnswer: -112131303331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1 and 13903258.\nAnswer: 13903258.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 0.1, -2\/13, -5, 1336, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 6:38 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4616*k**2 - 51*k + 101*k - 50*k.\nAnswer: 4616*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of -1\/1140*u**6 - 25\/228*u**4 - 1\/57*u**5 + 0*u + 117*u**2 + 0 + 0*u**3. Find r, given that c(r) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 2*u = 0, 2 = -4*r + 4*u + 6. Suppose 0 = -f + t + 4*t - 9, -3*t = -4*f + 32. Suppose -1 = 3*z + f. Sort z, -2, r in ascending order.\nAnswer: z, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 3*n + 15 = 0, -297*m - 20 = -299*m + 4*n. What is the closest to m in 106, -3\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(2*sqrt(243)*-6 + sqrt(243)) - (sqrt(6)*-1*3)\/(sqrt(8)*-1))**2.\nAnswer: 121203\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**(26\/3))\/((r\/(r*(r*r**(-28)*r*r)\/r))\/r*r))\/(r**(-3\/19)\/r*r**(-3\/13)))**19 assuming r is positive.\nAnswer: r**(-11074\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271484489?\nAnswer: 271484489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24023 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 3, -2 in descending order.\nAnswer: 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 23, 3, -2 in decreasing order.\nAnswer: 23, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9)\/(-2)*(-48)\/(-9). What is the greatest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2330 + -4?\nAnswer: 2327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 16506?\nAnswer: 66024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 6*z**2. Let c(h) be the first derivative of 3*h**2\/2 + 1. What is t(c(m))?\nAnswer: 54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 930 + -1556. Let s = 1418 + z. What are the prime factors of s?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = t + 2, -c + t = 14. Let k(n) = -9*n - 91. Let y be k(c). Calculate the greatest common divisor of y and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17416595?\nAnswer: 5, 7, 41, 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2114.2 - 204.7. Round f to the nearest ten.\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 81, 0, -1, 20, -3 in descending order.\nAnswer: 81, 20, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 171802473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -74*j - 40. Let i be v(3). Is -260 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1473972 - -20591881\/14. Let u = t - -3122. Find the common denominator of -77\/16 and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 11282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 + 4*x**2 - 3*x + 3. Let m be n(-5). Let h = m + -1. List the prime factors of -1 - 3\/(6\/h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -3 - 314*t + 318*t + 0. Let s(h) = -2*h**2. Determine s(y(j)).\nAnswer: -32*j**2 + 48*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.9 - 1.1. Let r = -7.789 + 2.789. What is the third smallest value in -3\/5, r, -2, u?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1192 divided by -5?\nAnswer: 1192\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -1, 3*j + 20 + 5 = 4*n. Let z = -3 + n. Factor -1\/2*t**2 + 0 + 1\/2*t**z + 1\/2*t**3 - 1\/2*t.\nAnswer: t*(t - 1)*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -67*x**5 - 5*x**4 - 981*x - 5. Let a(s) = 32*s**5 + 2*s**4 + 491*s + 3. Let q(f) = 5*a(f) + 3*g(f). Find the second derivative of q(h) wrt h.\nAnswer: -820*h**3 - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (103898\/(-6))\/(30\/9). Let r = -5190 - u. Find the common denominator of r and 40\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33508 = -29*k + 40152. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 103\/160 and 45\/108922.\nAnswer: 8713760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h + 10. Let o be t(6). Let n(m) = m**3 + 5*m**2 - 2. Let k be n(o). What is the greatest common divisor of 80 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, e: 1, y: 3}. Give prob of picking 2 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5557462820 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of m**4\/24 - m**3\/2 + 6*m**2. Let y be u(4). Solve 14 + y = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) 1\/6  (b) -1\/4  (c) 0.06  (d) -3  (e) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 2:08 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -d**4 + 176*d**3 + 966*d**2 - 72904*d - 695773 = 0.\nAnswer: -13, 23, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 713dc + 5?\nAnswer: 71403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13405 is divided by 900.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-63)*(10830\/2888)\/(10\/(-48))?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (9 + -2)) + 1 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(132) - -6*(sqrt(132) - (sqrt(132) - -6*sqrt(132)))))\/(((-4*sqrt(1200) + sqrt(1200) - sqrt(1200)) + sqrt(1200))*-5)*-2)**2.\nAnswer: 2156\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10523 - -125000?\nAnswer: 114033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 294 and 10339?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -4, -1.19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4016 and 93623.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 10:34 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + j**2 + 522*j - 1567. Determine w(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 17*i - 2 + 3 + 14*i.\nAnswer: -3*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*a = -101*a + 619 + 2461 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 582123984*q - 198061998 wrt q.\nAnswer: 582123984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 (base 9) in base 2?\nAnswer: 100000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -34734 - -34738. Solve 3*g + 3 = 3*x, s*g - 19 = -3*x + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/(-2) - (-5 + 6). Suppose 2*k + k + 4*g = -55, 3*g - 69 = v*k. Let c be (k\/4)\/((-2)\/8). Calculate the greatest common divisor of 14 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -258, -2623, -9044, -21549, -42166, -72923?\nAnswer: -115848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23030725 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 plus 3839854?\nAnswer: 3839853.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -17159.3725 rounded to the nearest integer?\nAnswer: -17159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -61732 and -61774 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15318 and 2214302.\nAnswer: 19928718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*u**3 - 12099520*u**2 + 66*u - 4001402 wrt u?\nAnswer: 42*u - 24199040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-40))\/(4\/(-40)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + -2. Let q = 0 - -3. Let i = -5088 + 5081. Sort i, q, g.\nAnswer: i, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(1\/2)\/(u\/u**(-3\/5))*(((u*u**(-2\/25))\/u)\/u)\/u**14 assuming u is positive.\nAnswer: u**(-809\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -701, -5658, -19315, -46022, -90129, -155986, -247943?\n\"Answer: -725*l**3 + 118*l - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -135, -434, -1019, -1986, -3431, -5450, -8139?\nAnswer: -11594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {l: 9, p: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 15282 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 PM and 11:20 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 3*y + 886 = 0, -210 = -4*c + 2*y + 686. Find the common denominator of c\/12 - (-10)\/6 and -7\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1682 + -821. Calculate the remainder when z is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**0)**4\/(((i*i*i**7*i)\/i)\/(i\/(i**(-3)\/i)*i)) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 11*a - 7*a. Let b(l) = l + 7. Let z be b(a). Solve 0*r = -z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -785 - -853. 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: Total of 72113 and 2.\nAnswer: 72115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 + 5*m + 3. Let q be s(5). Let i be -2 + 0 + 2*q. Suppose -i*x = -2*x - 2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4897\/4 + -1224. Let m = -7.26 + 4.26. Which is the closest to 0.1?  (a) m  (b) 0  (c) t  (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96 is divided by (-1443)\/(-65) - (-1)\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*p - 11 = -65. Suppose p*o - 2008 = -2*j, -5*j + 5*o + 0*o = -5010. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l - 2. Let u(z) = -4*z + 4. Let i(d) = d**3 + 6*d**2 - d - 1. Suppose -2*o + 30 = -5*c - o, 4*o = 3*c + 18. Let k be i(c). What is k*v(q) + 2*u(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*l + 258 = -677 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-400)\/204*(-849)\/5660.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/17, 2, 12 in ascending order.\nAnswer: 2\/17, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 1 + 1 - 4 + u - 7*u. Let l(i) = i. Let d(c) = a(c) + 10*l(c). Find the first derivative of d(k) wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/17520 and 113\/1314?\nAnswer: 52560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10413 by 366.\nAnswer: 3471\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 210*b**3*j + 2*b**2 - 5*b*j - 11*j wrt b?\nAnswer: 1260*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 285522 and 9039?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aq when two letters picked without replacement from {f: 5, q: 3, k: 1, a: 4, i: 3, j: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (-2 + -4 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13b (base 12) to base 2.\nAnswer: -10111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 114 - 112. Suppose z*w = -10*w + 240. What is the remainder when 70 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3270 - 3279. Let c = -0.5 - -0.6. Let z = c - 1.1. What is the third smallest value in -3, -0.1, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -493, -528, -563, -598, -633, -668?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - (17 + -20 + (5 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k + 91. Let f be a(0). Let g be ((-4)\/12)\/(5\/255). Let q be (g\/17)\/((-2)\/26). Calculate the highest common divisor of q and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 145 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2 - -1) + 2)*3. Let d be 52\/(-6) + (-1)\/b. Is 26\/3*d\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/(-48))\/(45\/(-24) - -2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 3*b**3 - 3*b**2 - 3*b. Let r be l(3). Suppose -s - 2*s + r = 0. Solve 2*w + 23 = 5*v, -5*w + 0*v - 2*v + s = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 3*f + f - 351, 5*n + 255 = 3*f. Let c = 24 - 1. What is the remainder when f is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f - 9*f + 3*f to the form z + n*f and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1465 is divided by 377?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the first derivative of -2*p**4 + 11*p**2\/2 - 4. What is the second derivative of w(u) wrt u?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/7 + 44\/(-7). Let n(l) = -6 - 9 - 15*l + 0. Let r(f) be the second derivative of 7*f**3\/6 + 7*f**2\/2 + 11324*f. What is x*n(p) - 13*r(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/9, 3, 7\/6, 5, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6437 + -5689. Calculate the remainder when w is divided by 126.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -113 (base 10) in base 15?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 216 and 3672?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 90075828 to the power of 1\/2, to the nearest integer?\nAnswer: 9491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5367 + -5388.89. Let n = 4.19 + z. What is n rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16847386, 16847394, 16847408, 16847428, 16847454?\nAnswer: 16847486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -4*r**3 + 14*r**2 + 10*r - 5. Determine i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 55968 and 232?\nAnswer: 1623072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (252\/(-24))\/(36 - (-1405)\/(-40)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 8*f - 318. Let b(s) = 5*s - 155. Give -7*b(z) + 4*v(z).\nAnswer: -3*z - 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 - 13*m - 16. What is a(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hzzzzzhzzhzzzzzzzhz. What is prob of picking 3 z and 1 h?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3))**(-46)*g**2\/(g\/(g**1\/g)) assuming g is positive.\nAnswer: g**139","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 43 (base 5) to base 3\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 314891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/70*(-20 - 106\/(-6))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45) - sqrt(180)\/(sqrt(16)\/sqrt(4)))\/(sqrt(9)*-4*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of -2\/3*y**2 - 5*y + 1\/6*y**3 - 1\/90*y**6 - 1\/20*y**5 - 5 + 5\/36*y**4. Factor j(k).\nAnswer: -(k - 1)**2*(k + 1)*(k + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000480538 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that 4964584*j**4\/15 - 137767214*j**3\/15 + 99291902*j**2\/15 + 33510782*j\/15 - 18\/5 = 0.\nAnswer: -1\/4, 1\/620573, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 66190, 58, -3?\nAnswer: 66190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 102*t - 174 + 30 + 73 + 24 + 17 + 29.\nAnswer: 102*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.145 + -0.26. Let n = j + -0.82. Round n to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + (-5 + 3)*1. Put q, 0.07, -0.1 in descending order.\nAnswer: 0.07, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -40 + 45. Let k(q) be the second derivative of 7\/6*q**3 + 2*q + 0 + 3\/2*q**2 - 7\/12*q**4. Let m(p) = p**2 - p - 1. What is v*m(u) + k(u)?\nAnswer: -2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1070210169 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: Which is the nearest to 3\/2?  (a) -37  (b) 9053  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 330578 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -30.16 - -29.86. Which is the fourth biggest value?  (a) -1\/80  (b) s  (c) 0.3  (d) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -503253000 rounded to the nearest 100000?\nAnswer: -503300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Put 9, -2, -4, 3115, -5 in decreasing order.\nAnswer: 3115, 9, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-10)*6830\/43029*(2 + 70). Suppose c*f**2 + 0 + 6\/7*f**4 + 24\/7*f + 30\/7*f**3 = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 270 = -8*d. List the prime factors of (-12)\/d - 669\/(-45).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -28?  (a) 6  (b) 1\/5  (c) 2\/5  (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2965\/4 - 736. Suppose -a*h**4 + 45\/8*h**5 + 25\/4*h**2 - 49\/8*h**3 + 1\/2*h - 1 = 0. What is h?\nAnswer: -1, -2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) + -2)**2 + sqrt(11)*2 + 0)*6.\nAnswer: -228*sqrt(11) + 6624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3239643529 + -2\nAnswer: -3239643531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-1 + 4 + -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1777 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28466 - 28464. Let z = 4 + 0. Suppose b + 5 + 0 = k, 3*k - 15 = -2*b. Solve 0 = 3*r + z*l + 14, 0 = -5*r - b*r - j*l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -26\/11079 and -31\/42?\nAnswer: 155106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*x + 1 - 4 + 8479*x**2 + 4 - 2.\nAnswer: 8479*x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/5 + 6*y**2\/5 - 16*y.\nAnswer: 2*y*(y - 5)*(y + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4322252 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -1, -9, -0.4, 2\/15, 1\/59.\nAnswer: -9, -1, -0.4, -2\/7, 1\/59, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**4\/13 - 18*q**3\/13 - 2*q**2\/13 + 162*q\/13 - 140\/13 = 0. What is q?\nAnswer: -7, -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-521495)\/(-25) - (-2)\/10. Suppose -4*h = 3*p - 24213, 3*h - 3*p - y + 2716 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away -92283449?\nAnswer: 92283449.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 494, 1721, 4422, 9335, 17198, 28749, 44726, 65867?\n\"Answer: 123*d**3 - d**2 + 369*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-nine fifths of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y*y*y**0\/y*y*y))\/y*y)\/(y*(y**(-4\/3)\/y)\/y)*y**1*(((y*y**7)\/y)\/y*y)\/y assuming y is positive.\nAnswer: y**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6932 divided by 1\nAnswer: 6932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -4618.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkwwwwwwwww. Give prob of sequence kw.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 32, 146, 352, 662, 1088, 1642?\n\"Answer: 2*n**3 + 34*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34425.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1752\/(-4380))\/(0 + 3). Which is the biggest value?  (a) 2\/59  (b) p  (c) 0.4  (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 712*k + 707*k - 2130*k + 712*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 - 5. Let m be 6\/1 - (f + 0). Suppose 26 + 9 = m*w. What is the remainder when w is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**4*f\/f**3*(f\/(f\/(f*f*(f\/f**1)\/f*f*f)*f))\/f**(-1\/8))\/((f**(1\/9)\/(f\/f**(-4)))\/(f*f**1)**(-16)) assuming f is positive.\nAnswer: f**(-1655\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 192*t + 71. Give s(0).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1122061*n*s**2 - 16162*s**2 + 2*s - 24 wrt n?\nAnswer: -1122061*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -343140515.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 17*p**2. Suppose -4*v - 2 + 26 = 0. Let w(d) = v - 9 + 2*d + 3. Give w(f(a)).\nAnswer: 34*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 2 + -9 + 14 + 3 + 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -76.964 + -0.036. Let p = c - 37. Let s = 114.00000051 + p. Round s to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 9:42 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.295 + -0.005. What is the closest to 1 in y, 5, -4\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 69422777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 14 = n, -3*u + 2*u = -5*n - 122. Let j be 2\/7 + n\/(-14). Let k(w) = 3 - 2*w**j - 3. Let g(a) = -2*a. Calculate k(g(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 236373376 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -88 by 2.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -414*v**2 + 59686 - 29877 - 29810.\nAnswer: -414*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -97, -8, -4 in decreasing order.\nAnswer: 4, -4, -5, -8, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 222 is divided by 105?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 AM and 4:06 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 821442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 - f**2 - 2*f + 3. Let w be l(0). Suppose -5*g + 26 = o, -w*o = 4*g - 21 - 2. What is the highest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-2)*(2 + -5 + 7). Suppose -2*a = -l*k + 24 + 22, -4*a + 4 = 0. Calculate the highest common factor of 192 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1083 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48*l**2*m**3 - 8*l**2*m**2 + l**2 + 2*l*m**3 - 373*m**3 + m**2 wrt l.\nAnswer: 96*m**3 - 16*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-216)\/45 - -5)*(-7 - -17). Let -2\/3*f**k - 50\/3 - 20\/3*f = 0. Calculate f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 50 + -48. Factor -z + 12*c - 16*c**3 + 10 - 35*c**5 + 39*c**5 - 8*c**2.\nAnswer: 4*(c - 2)*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 4, -2 in decreasing order.\nAnswer: 10, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 AM and 8:24 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 263489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 12*x - 47. Give d(-8).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 172188486 and 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -902 + 1343. Is d a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 3 - 6. What is the units digit of (2 - -1) + -2 + k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) -6  (c) -2\/3  (d) -31  (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from {w: 1, d: 2, g: 1, n: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 1632*g**2 + 400 - 400 + 1358*g**2 in the form p*g**2 + k + l*g and give p.\nAnswer: 2990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 437325 by 105.\nAnswer: 4165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-259)\/555*10)\/((-28)\/30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-15)\/8)\/(-1) - 84\/(-672). Which is the closest to h?  (a) 4\/7  (b) 1\/2  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w - 6. Let i(l) = 3*l + 5. Let m(q) = 5*a(q) + 4*i(q). What is the units digit of m(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1161524527 to the nearest integer?\nAnswer: 34081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h + 5*r + 4 = 0, -5*h - 12 = r + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -10*v**2 + 602*v + 1372. What is p(62)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.95 + 0.05. Let x be 0\/(-2) + -1*(-241)\/2. Let u = x + -118. What is the second biggest value in h, u, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 491 + 580 = -38*j - 373 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 - 12*z**2 + 12*z - 12. Suppose -q = 2*q + m + 37, 3*m - 19 = q. Let k be y(q). Which is greater: k or 2\/67?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3756600?\nAnswer: 2, 3, 5, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(0 + 3 + -1). Let f = 1 - n. Suppose -t + l + 4 = f, 3*l - 3 = -3*t. Is t < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*g - 116 - 16 = 0. Solve 2*x - 3*x = -5*b - 24, 5*b + 2*x + g = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2 + 2604*w - 267776.\nAnswer: -4*(w - 523)*(w - 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 - -27. Let h = y - 11. Let q = 0.0912 - -0.9088. Which is the closest to q?  (a) h  (b) -3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1650 or -1658?\nAnswer: -1658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8166 and 48996.\nAnswer: 48996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 13 = 3*h, 18 = 2*h + 20*z - 24*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25838828 + 51056.\nAnswer: -25787772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 4*r + 38. Let s be b(-10). Let g(d) = 2*d**2 + d + 1. Let y(f) = f**2 + 1. Calculate the lowest common multiple of y(-3) and g(s).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4959420 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3, -23, -49, -75?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 32\/(-20)*(-40)\/16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17542 is divided by 270?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the first derivative of d**3\/2 + 99*d**2 + 6534*d - 236. Solve n(z) = 0 for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -0.4, -9443, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -4\/7  (b) 11.2  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1919, 3838, 5757, 7676, 9595, 11514?\n\"Answer: 1919*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that m**5 - 2237*m**4 - 22458*m**3 - 27022*m**2 + 130361*m - 78645 = 0.\nAnswer: -7, -5, 1, 2247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/12)\/(45\/(-20))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 PM and 12:48 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 AM and 11:37 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 15, 3, -4, 138, -7, -1 in decreasing order.\nAnswer: 138, 15, 3, 1, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*f**2 + 5*f**2 + 14*f**2 + 2*f**2.\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 - 122*s**2 + 1445*s + 201. Determine b(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 0*q + q = -237, 0 = -2*h + q + 119. Suppose -29 - h = -8*w. Suppose 4*r - w*r = -336. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 + k**2 + k + 1. Let m(c) = 162*c**3 + 9*c**2 + 9*c + 9. Calculate -9*l(y) + m(y).\nAnswer: 153*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2*b**3 + 1915*b**2 + 3*b - 3. Let d(v) = -3*v**3 + 1911*v**2 + 4*v - 4. Determine 3*d(m) - 4*y(m).\nAnswer: -m**3 - 1927*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 + 9*c**2 - 9*c + 11. Let g be r(8). Solve -2*k - g*x - 1 + 4 = 0, -4*x = 3*k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eljmbjh. Give prob of sequence ljej.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*n - 4435 = 297. Calculate the least common multiple of n and 286.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of ((-104)\/(-78))\/((-3)\/(1782\/(-4)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 + 11. Let g = 10 + f. Is 1\/4 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -3*v + 3. Let a(l) = -3*l**3 - 2*l**2 - l. Let g be a(-1). Suppose r = -2*i + 3, -2*i + g = -4*i - 2*r. Give u(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 20 = -x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 353 and 679525?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**3 + 0 - 2 + 10 + 32*x + 30521*x**2 + 8 - 30501*x**2.\nAnswer: 4*(x + 1)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3811.09m in micrometers?\nAnswer: 3811090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of s**9\/1512 - s**7\/420 - s**3\/3 + 3. Let t(x) be the third derivative of c(x). Find b, given that t(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 2. Let a = 1.1 + p. Let w be (-10)\/(-5) - 24\/10. What is the third biggest value in 0.5, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 31, 5\/3, -3, 1, -0.015?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 189\/45 - 17\/10.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16 + 5035?\nAnswer: 5017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -320280 - -454958. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d - 1. Let k be m(-5). Let j = -3 - k. Let s(c) = -5*c + c**2 + 4 - c**3 + 7*c**3 - 7*c**3 + 3*c**2. What is s(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -132333 (base 4) to base 3.\nAnswer: -2201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - x + x**2)*(4*x - 2*x**3 - 4*x + (6 + 0 - 3)*(0*x**3 - x**3 + 3*x**3) + 39*x**3 - 82*x**3 + 36*x**3).\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*o + 1940070 = 3*o - 8*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 649*k = -751*k + 319*k - 3243 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 61 = 3*w, 1 = -2*t + 3*w - 28. Let f be (32\/(-28))\/(t\/56). Sort 53, 3, f, 2 in descending order.\nAnswer: 53, f, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25067.\nAnswer: 7, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 231*x. Let w(p) = 2*p**2. Give m(w(g)).\nAnswer: 462*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 - 4*w + 7. Let u be h(2). Suppose 4*t - 5*i = -276, 5*t + 131 + 227 = u*i. Let o = t + 516\/7. What is the common denominator of o and 17\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4043112 by -1347704.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-3500)\/140 + (0 - -10)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(1216) + (sqrt(1216) - (sqrt(1216) + 0)**2))*-2 - sqrt(1216))*1.\nAnswer: -40*sqrt(19) + 2435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((2 + sqrt(19) + sqrt(1900)*1 + sqrt(1900))*-4 + -4)**2.\nAnswer: 6048*sqrt(19) + 402624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 13*m. Let z(f) = -f**2 - 6*f + 14. Let n be z(-7). Let s(c) = -8*c - n*c + 13*c. Calculate g(s(o)).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3302900 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 236, 11, 4, 1, 274, 5 in decreasing order.\nAnswer: 274, 236, 11, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + u - 13 = -6, -3*u = -w + 7. Let x = 0.044 - 2.344. Let l = -1.9 - x. Which is the biggest value?  (a) -3\/5  (b) w  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l. Let r(q) = -q. Let i(v) = -v + 11. Let f be i(9). Let x(k) = -14 + 20 - 125*k + 25*k - 6. Let h(n) = f*x(n) - 220*r(n). Calculate h(o(p)).\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -49972 + 49971 - s + 6047*s**2 - 836*s**2 as i*s**2 + z*s + m and give i.\nAnswer: 5211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 104489231*q**3 - 114413660 wrt q.\nAnswer: 313467693*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 330756\/(-41340) + (371\/49 - (-9)\/21). Is 1 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 2*sqrt(363) + sqrt(363) - (2 + sqrt(363) + -3)) + (3*(-1 + sqrt(363)))**2 + sqrt(363) + -2 + 5.\nAnswer: -165*sqrt(3) + 3284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of -m**5\/20 + m**4\/6 + 7*m**3\/6 - 5*m**2\/2 - 9*m. What is t(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13.1999971 + -13.2. What is j rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140 and 16936500.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 84839 times -552\nAnswer: -46831128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -3*z**2 - 2. Let n(o) = 3511*o**3 - 15*o**2 - 10. What is -n(c) + 5*w(c)?\nAnswer: -3511*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -164*h**3 + 12*h**2 + 6*h - 5. Let m(k) = -2*k**3 + 2*k**2 + k - 1. Give 6*m(x) - o(x).\nAnswer: 152*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 4661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -136 (base 16) in base 12?\nAnswer: -21a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 = 9*d - 264. Suppose z + d - 46 = 0. Solve -5*n = 4 + 1, -n = -z*p + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2204466 or -2204468?\nAnswer: -2204466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3125)\/625*24\/(-80)*2\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -126*p + 6297. What is z(50)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3*3\/(81 + 0)*4. What is the nearest to 0 in -5, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f. Let c(w) = 6*w + 38*w**2 - 8*w - 31*w**2. What is y(c(l))?\nAnswer: -14*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (152\/(-57))\/((-4)\/6*-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 7) + 7 + 4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 127803?\nAnswer: 3, 13, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/4)*r*(r\/r**(-6)*r)\/r)\/(r\/(r**(-1\/3)*r))**(-2\/13)*(r\/(r\/r**(1\/4)))**39*(r\/(r\/r**(-1\/4)))**(-3) assuming r is positive.\nAnswer: r**(2933\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*p = -1 - 25. Let n = 449\/302 - -2\/151. Does n = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-9))\/(((-16)\/6)\/(-2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 77 and 6523.\nAnswer: 6600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of -c**4 - c**3\/3 - 7*c**2\/2 + 4. Let l(p) = 7*p**3 + 2*p**2 + 13*p. What is 11*h(i) + 6*l(i)?\nAnswer: -2*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -115 or 5\/29?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h - 19. Let i be m(35). Solve 0 = -s - 4*k - i, 0*s + 12 = -4*s - 3*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*z**2 + 3*z**3 - 3*z**3 + 0*z**4 - 3*z**4 + z - z**3 as j*z**3 + l*z**2 + p*z + r*z**4 + f and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 982*c - 76417. Calculate r(78).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -14551\/4, -0.5, 440 in increasing order.\nAnswer: -14551\/4, -0.5, -0.4, 440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -7*r**2 + 9*r - 7. Let u(m) = -11*m**2 + 14*m - 11. Calculate -5*u(y) + 8*x(y).\nAnswer: -y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 202922525 to the power of 1\/2, to the nearest integer?\nAnswer: 14245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11253, -21652, -32049, -42444, -52837, -63228?\nAnswer: -73617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1023472 - 287528. Round m to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the third derivative of p**4\/24 - p**3\/6 + 2*p**2. What is the remainder when 26 is divided by f(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 3 - 181*s**2 + 47148*s - 47141*s in the form y*s + w*s**2 + t and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(6\/(36\/(-6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -28 - -42. Let s = 8 - m. Let p be s\/5*20\/(-6). Solve p*z - 2*a = -a - 3, 3*z + a - 3 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2319 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 - -24. Suppose -d*c + 4*c + 16 = 0. Solve -2*m = -6*m - c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 567 and 142317.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 AM and 9:58 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 101*-1 - (-18493 + 18436).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -172808545*z - 82261776 wrt z?\nAnswer: -172808545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 8 - 4) + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n + 2. Let j(p) be the first derivative of p**2 - 5*p - 6. What is 3*j(c) + 8*q(c)?\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 50.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7723499 + -169955141\/22. Let g = 1732 + q. Find the common denominator of g and (2\/(-40))\/((-3)\/286).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 5 = 7. Let i = 17 - n. Let c = 10 + -5. Solve 10 = -i*a - c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.457 + -0.7?\nAnswer: -1.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 10\/4*(7\/(1575\/2040))\/((-4)\/6)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p + 7. Let u be o(-6). What is the highest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 9880039 and 853151.\nAnswer: 306281209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mawqvkwa. Give prob of picking 1 k, 1 a, 1 q, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-1)\/2)*(-24300)\/(-1080)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {m: 1, f: 2, i: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2*t**2 + t + 1. Let d be m(-3). Let j = d + -1. Let y(r) = -r**3 - 6*r**2 + 5*r - 6. What is the remainder when j is divided by y(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 6\/25 of a microsecond?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1328486 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -80*j. Let m(v) be the third derivative of v**7\/1680 - 9*v**5\/20 - 6*v**2. Let p(a) be the third derivative of m(a). What is 2*f(y) + 55*p(y)?\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -9*n + 80. Let t be c(0). Let j = t + -74. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in -0.77, 4, 3\/7, 0.5?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.14 - 0.06. Let h = -4.2 - a. Let z = 1 + h. Is z not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - 11*g**2 + 11*g - 2. Let p be v(10). Suppose 6*y = 8*y - p. Differentiate -y + 12*l**4 - 14*l**4 - 2 wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-2\/3))\/p**1*(p**0\/p*p*p)**(-26\/9)*((p\/p**(-1\/3))\/p*p)**(-35)*p**1*p**(-1) assuming p is positive.\nAnswer: p**(-440\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/((-176)\/48)*2\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 83 + 3 = 0. Let g(v) = 5*v - 6. Let w be g(y). Calculate the remainder when -21*(w\/(-14) - -1) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 15*b + 9. Let v(r) = 2. Calculate t(z) - 5*v(z).\nAnswer: 15*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7466729 to the power of 1\/2, to the nearest integer?\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c - 9. Let a(m) = -1403*m**3 + 6*m**2 - 4*m - 11. Let k(v) = -a(v) - 2*j(v). What is the third derivative of k(n) wrt n?\nAnswer: 8418","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2634998 divided by -14558\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 65529*n**2*z**3 - 414*n**2 + n*z**2 + 36242*n - z**3 + z**2 - 2 wrt n?\nAnswer: 131058*z**3 - 828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -11*c + 4. Let g(u) = 32*u - 11. Let z(o) = -6*g(o) - 17*l(o). Suppose 3*f - 1 = -10. Calculate the remainder when 24 is divided by z(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - 27*a + 35. Is o(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8*z**4 - 2*z**4 - 4 - 2 + 8 wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30301 - 310001?\nAnswer: -213100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mlll when four letters picked without replacement from {l: 6, a: 3, m: 6}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/1660 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -32.2?\nAnswer: 26.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 378\/(-486)*(-8)\/(-21)*15\/(-20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 4*p - 10 = 0, 4*f - 3*f + p = -4. Let c be -14*(-4)\/(-24)*f. What is the tens digit of -1 - 1 - -16*c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**2 - 4*c + 4. Let r be z(0). Suppose -30 = -r*u + 114. Suppose -u - 36 = -2*d. Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -519.29 + 519. Let n = l - -0.59. What is the nearest to -1 in n, -2\/3, 0.4, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -4*l - 28. Let k be h(-8). Solve 0 = -k*o - 0*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a - 2*a + 3*a)*(-13*a**2 - 104*a + 104*a) + 0*a**3 + a**3 - 4*a**3.\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 31*m - 78 + 295 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 58587, 234740, 528449, 939720, 1468559, 2114972?\n\"Answer: q**3 + 58772*q**2 - 170*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9104754*m**3 + 1936*m**2 + 3*m + 14 wrt m.\nAnswer: -54628524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**3 - 219*v**2 + 210*v + 432.\nAnswer: 3*(v - 72)*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - (32\/(-12) + (-2)\/(-3)). Suppose 13 + 5 = u*p. Find the third derivative of -9*f**6 - f**6 - 7*f**2 - 3*f**2 - p*f**6 wrt f.\nAnswer: -2280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k**3\/9 + 429850*k**2\/9 + 46182437497*k\/9 - 739249161616\/3 = 0 for k.\nAnswer: -214949, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12202211111 + 11?\nAnswer: -12202211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8839, 9124, 9597, 10258, 11107, 12144, 13369?\nAnswer: 14782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2527940.\nAnswer: 2, 5, 126397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20 + 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -336.7 - -203.57. Round k to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -5  (b) 3\/7  (c) 0.4  (d) 0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand b + 0*b + 0*b + (-b + 1 - 1)*(-1 + 2 - 2) + (-9 + 19 + 0)*((3 + 2 - 4)*(2*b - 4*b - 6*b) + 5*b - 2*b - 2*b).\nAnswer: -68*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6312?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 3 = 5*t, 0 = -2*t - 8*d - 41 + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 10:33 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in thirteen eighths of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(5\/150))\/(7\/1015*58).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 179 + -179. Let f(r) = -3*r + r + r + 1. What is the units digit of f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*l**5\/2 + l**4 - 27*l**3 + 30*l**2 - 11*l\/2 - 3 = 0.\nAnswer: -3, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i*i*i**3*i*i*((i*i**(-5))\/i)\/i)\/(i**(2\/3))**(4\/5) assuming i is positive.\nAnswer: i**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 9*p**2 - 6*p + 2. Let o be v(8). Let i(a) = -2*a - 2. Let x be i(4). Find the common denominator of x\/(-5) + o\/12 and -7\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 18*l + 1873. Let i(k) = -11*k - 936. What is 3*c(b) + 5*i(b)?\nAnswer: -b + 939","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2313833789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 139  (b) 4  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.44 and 0.0002.\nAnswer: 0.4402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2223367 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2240471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the first derivative of 117*r**4\/2 + r**3 + 418*r**2 + 2726. What is the second derivative of w(c) wrt c?\nAnswer: 1404*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4341320119.\nAnswer: 43, 929, 108677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 4*g**3 + 208*g - 210*g + 7*g**3 - 25*g**2 in the form d*g**3 + c*g + o*g**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 142753069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -73, -136, -195, -250, -301?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2 + 37488*b + 112482.\nAnswer: -2*(b - 18747)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111100020 (base 3) to base 13.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 211*j. Let a(v) = -108*v**2 - 48. Let b(r) = -34*r**2 - 15. Let w(d) = 5*a(d) - 16*b(d). What is x(w(p))?\nAnswer: 844*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 195854 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + -0.1. Let b be ((-9)\/(81\/2))\/2. What is the nearest to -1\/3 in c, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {s: 11, n: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - 0) + -2 - -4 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*s + 222 = -5*s - c, -4*s + 228 = 2*c. Suppose -68*u = -76*u + s. What is the remainder when 71 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -52, 177, 1, -1.\nAnswer: -52, -4, -1, 1, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(4\/9)\/q*q)**(-2\/7) assuming q is positive.\nAnswer: q**(-8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 357 + -376 - (2 - -1 - 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 14. Let t = -7.06 + 0.06. Let c = s + t. Put -2\/9, c, 0.3 in descending order.\nAnswer: c, 0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + -3 + (39 - 1). Suppose 4*t = s - 12. Let x be (-4)\/t*9\/15. Which is the second smallest value?  (a) -3  (b) 3  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1\/2)\/n)\/n*n)\/(n**(2\/17)\/n)*n**(-3)\/(n\/(n**(1\/11)\/n)) assuming n is positive.\nAnswer: n**(-2067\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - v = 4, 3*r - 5*v = -0*r - 28. What is the third smallest value in -4, -2\/3, 0.5, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32 and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-6))\/(((-20584)\/(-166))\/(-18600))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.134 + -0.134. Let l = -19.956 - 0.044. Let g = 14 + l. Which is the nearest to i?  (a) 5  (b) g  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5273 - 5278. Put u, 0, 4, 0.45 in decreasing order.\nAnswer: 4, 0.45, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v**3 - 14 + 7*v**3 + v**4 + 4*v + 6 - 8*v**3 + 6*v**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6.434 + 0.704. What is t rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -39, 17, 167, 459, 941, 1661?\n\"Answer: 8*a**3 - a**2 + 3*a - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 89970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -41 - -56. Does 8 divide 8*15\/36*b - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -101702.800001 + 101703. Let g = -1 - -1.2. Let v = g - y. What is v rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-5)\/(h\/h**(-3))*(h**0)**7*(h**(-1\/2))**(-5\/9)*h**5*h**(-2\/9) assuming h is positive.\nAnswer: h**(-71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15891665393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.072 - -0.0453. Let k = 219.0267 + n. Which is the third biggest value?  (a) -1  (b) -4\/3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 393*i**2 + 19*i - 10. Let d be r(-6). Suppose 4*n - 3236 - d = 0. Suppose -3*q - v + n = -q, -v - 6480 = -3*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26 - 24. Suppose 0 = f - 3*q - 267, -2*q = -k*f + 3*f - 247. Suppose 2*n - 3*u = -0*n + 170, 3*n + 5*u - f = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/379260 and 79\/1176480.\nAnswer: 57647520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-31)\/(-4) - (623\/89 + 2\/2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 17\/((-102)\/(-52))*3. Let h = 23 - -55. Calculate the greatest common factor of i and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 44778007 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58402425.\nAnswer: 3, 5, 778699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -313*k + 26*k - 171*k - 961*k - 163*k to z + t*k and give t.\nAnswer: -1582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -38?  (a) 0.5  (b) 3\/242  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*j*l**2 + 29*j*l*t + 12*j*l - 35*l**2*t - 350*t wrt j.\nAnswer: 12*l**2 + 29*l*t + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t, 0*i - 5*t = 5*i + 15. Let l = 0 + i. Let w(n) = 11*n**2 - 15*n**2 + 2*n - 4*n + 5*n - 3. Let f(v) = -5*v**2 + 4*v - 4. Give l*f(m) + 4*w(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 47*i**2 - 47*i - 48. Let b be s(48). Suppose b = 2*l + 3*y - 20607 - 24419, 67539 = 3*l + 2*y. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -4  (b) 1  (c) -14  (d) 8\/5  (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3056, -8406, -17314, -29774, -45780, -65326, -88406, -115014?\n\"Answer: a**3 - 1785*a**2 - 2*a - 1270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b**2 + 8226886*b - 8226886*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 11495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 404771 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80 = -4*g - a, -3*g - 5*a + 47 = -a. Suppose 25*x**3 + 50*x - 2*x**3 - g*x**3 + 20*x**2 = 0. Calculate x.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w + 491 + 4*w - 491 - w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 945, 126, -27, 7?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111a9 (base 15) to base 11.\nAnswer: -37950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2 + 5*u - 10. Calculate the remainder when i(-10) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - s = -0*s + 4, f - 4*s = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -6*m**3 - 5*m**2 - 5. Let f(s) be the second derivative of -s**5\/20 - s**4\/12 - s**2\/2 + s. Let y be (4\/(-12)*3)\/((-1)\/(-1)). Give y*c(t) + 5*f(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x + 21. Let v(q) = 18*q - 169. Let l(f) = 2*b(f) + v(f). What is l(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, 13, 13, 9, 1, -11?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3850 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7\/28*4*43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5790 = -946*o + 17860 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 79 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: Which is the fourth biggest value?  (a) -16  (b) -3\/2  (c) -0.4  (d) -1  (e) 28.3  (f) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*q - 6*q + 8*q**2 - 4*q + 4*q to g*q**2 + b*q + x and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 - 3*s + 9. Let l be p(5). What is the greatest common divisor of l and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -141 + 169. Suppose 0 = 12*s - i*s + 16. Suppose 2*r - 18 = -2*t, 2*r - t = 4*r - 17. Solve -3*w = s + r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 247 by -14418.\nAnswer: -247\/14418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 + 14*b - 16. Let x be o(10). Let w(j) = j**3 - 25*j**2 + 24*j + 24. Let f be w(x). What is the highest common divisor of 48 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0153743 to 4 decimal places.\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -8530839709198 + 4?\nAnswer: -8530839709194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 706*a**6*s + 41486*a**4*s - 6*a**2*s - 19143211*s wrt a.\nAnswer: 84720*a**3*s + 995664*a*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -aac58?\nAnswer: -aac5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0, -116, 1, -1 in increasing order.\nAnswer: -116, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2733165 + -3.\nAnswer: -3.2733165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2445, 2864, 4001, 6216, 9869?\nAnswer: 15320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -66*q + 88. What is y(7)?\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(3\/4)*v**(-4\/7))**32\/(((v*v**(1\/4))\/v)\/v*v*(v\/v**(-1\/4))\/v*v)**(-27) assuming v is positive.\nAnswer: v**(423\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/808 and -3\/22048.\nAnswer: 2226848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n - 2124*n**4 - 2081*n**4 + 4069*n**4 + (2*n**2 - n**2 + n**2)*(3*n**2 - 5*n**2 + 3*n**2).\nAnswer: -134*n**4 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -42b (base 14) in base 7?\nAnswer: -2254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 5*f**2 - f + 1. Let n(o) = o**2 - o + 1. What is -d(r) + 3*n(r)?\nAnswer: -2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + 3 + -4 - 2. Let x be -2 + 17\/3 + l. Which is the closest to 2?  (a) -3  (b) 0  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 201 + -3415\/17. Let v be ((-4)\/51)\/((-6)\/(-9)). What is the nearest to 1 in v, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 9082.711um?\nAnswer: 9.082711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -41.9, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(66) - (sqrt(66) + sqrt(66)*2 + sqrt(66)))*4 + sqrt(66))\/(-5*sqrt(18)\/sqrt(3))*-5)**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1409 and 18317.\nAnswer: 18317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -2*o**2 - 1521*o - 290283. Let r(w) = -w - 13. Let i(p) = 6*r(p) + 2*v(p). Factor i(b).\nAnswer: -4*(b + 381)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -57*-19\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -4*f**2 + 7*f - 5. Let n(k) = 5*k**2 - 7*k + 5. Let a(j) = -3*n(j) - 4*s(j). Give a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*-6*(-4 + -1*sqrt(343))**2.\nAnswer: -12924 - 2016*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d**3 - 4*d**3 + d**3)*(-7*d + 4*d + 0*d + 3*d - d - d + (1 + 0 - 2)*(-2*d + d + 0*d) + 2*d - 2*d - d)*(1 + 1 - 1).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13734445368311\/603416354500 + -1\/420206375. Let h = -4\/359 + z. Calculate the common denominator of (-1)\/2 - 65\/8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 38 - 35. Suppose 0 = 11*d - i*d - 48. Solve 0 = -a + d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**3 + 0*j**2 + 0*j**2)*(69*j**2 - 47*j**2 - 39*j**2) + (j**4 - j**2 + j**2)*(j - j - 2*j).\nAnswer: -19*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -29 + 9. Let l be (-5)\/t - 38\/(-8). Find the second derivative of -l*u**3 + 2*u - u**3 + 4*u**3 wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 + 0. Let n = 0.1 + l. Let c = -175.2 + 175. What is the second smallest value in n, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 20*t**2 + t. Let n be o(-1). What is the highest common divisor of 57 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 75 - 63. Factor 0*q**2 + 8*q + 4*q**2 + 16*q**3 - 8*q - t*q.\nAnswer: 4*q*(q + 1)*(4*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 331 - 4963\/15. Which is the biggest value?  (a) -5  (b) 2\/3  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of l**3*s**2 + 707*l**3*s + 26*l**2*s**2 + 3*l*s**2 + l*s + 9*l + 19 wrt l.\nAnswer: 6*l*s**2 + 4242*l*s + 52*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 3201*v**3 + 125*v**2 + 27*v + 3. Let l(i) = 3201*i**3 + 126*i**2 + 18*i. Let p(k) = -2*g(k) + 3*l(k). Find the third derivative of p(z) wrt z.\nAnswer: 19206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4652*j - 743*j - 621*j - 248*j.\nAnswer: -6264*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) 2\/31  (b) -0.4  (c) 2\/23  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**2 - 4. Let d(p) = -12*p**2 + p + 17. Give 2*d(y) + 9*m(y).\nAnswer: 3*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -0*q + 50. Suppose -430 = 81*z - 124*z. Differentiate q*l**3 + z - 32 - 29*l**3 wrt l.\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 AM and 10:50 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.68 + -0.31. Let n = 6 + -2. Let t = l + n. Round t to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + m. Let x = 6 + -8. Let v be y(x). Let b(z) = 3*z - 3. What is b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -156559, -313083, -469607, -626131, -782655, -939179?\n\"Answer: -156524*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -305, -606, -881, -1118, -1305, -1430, -1481, -1446?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 12:50 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 - 13 = 20*x. Sort -1, -5, x, -7 in decreasing order.\nAnswer: -1, x, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**2\/7 - 3048*n - 5419344.\nAnswer: -3*(n + 3556)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89*f + 364 - 2055 = 0. Let g(v) = v**3 + 9*v**2 - 13*v + 7. What is the remainder when g(-10) is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 367136*x - 367158*x = 814 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**(3\/10)*t)*t**(1\/4)*t**(2\/5)\/t*t**(-1\/2))**(-41) assuming t is positive.\nAnswer: t**(943\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -15074 and 0.31607?\nAnswer: 15074.31607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -16572611 rounded to the nearest 100000?\nAnswer: -16600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4\/5?  (a) -4  (b) 5  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 623 - 624.202. What is x rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1047\/11, -68, 4, -4, 2, 6 in decreasing order.\nAnswer: 6, 4, 2, -4, -68, -1047\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x - 4. Let z be t(-3). Let i = 7 + z. Suppose -4*o + 6*o - 4 = i. Solve -14 - o = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7468631887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28135 + 28139. Which is the closest to 0?  (a) -2\/3  (b) 0.2  (c) 32  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5587194709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.155063 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 4788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 4291, 8574, 12859, 17146, 21435, 25726?\n\"Answer: d**2 + 4280*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6956 - 15290 - 58216 = 1628*q - 297*q for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9778.347651 rounded to the nearest one hundred?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -358?  (a) -4\/7  (b) -4\/5  (c) 16\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-2)*3*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 + 44*r + 479. Let a be t(-9). Factor -8\/5*l + 4\/5*l**a + 0.\nAnswer: 4*l*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g + g + 3*g**4)*(-5*g - g + 10 + 10*g).\nAnswer: 12*g**5 + 30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 10:39 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -604 - -567. Suppose -u + 25 + 35 = 0. Let i = r + u. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1165\/3 - -391. Factor -o + 0*m + 2\/3*m**3 + 2*m**2.\nAnswer: 2*(m - 1)*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101 (base 7) to base 16.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.55 - -1.25. Sort 0.3, 45\/11, o, 4 in increasing order.\nAnswer: o, 0.3, 4, 45\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide (-4)\/(-3 + 8 - (12735\/(-2545))\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*y - 4*y - 5*y)*(0 - 4 + 3) to j*y + v and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-13)*v**(1\/11) assuming v is positive.\nAnswer: v**(-142\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -2, 16.05178, -1 in decreasing order.\nAnswer: 16.05178, 0.3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -970.525086 to the nearest ten.\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*x**4\/2 + 1785*x**3\/2 + 2349*x**2\/2 - 2961*x\/2 - 591 = 0. What is x?\nAnswer: -197, -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 4*w + 6225, w - 31134 = -4*r - 6174. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -215 - -225. What is the least common multiple of n and 89?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50.065 - 16101694831.\nAnswer: -16101694780.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-42 - -51) + (1 - 1) + -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*y**2 - 3*y**3 - 2*y**2 + 2*y**2 + (0 - y + 0)*(3*y**2 + 0*y**2 - 5*y**2) to the form k*y + q*y**3 + j*y**2 + c and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 851, -1, -4 in descending order.\nAnswer: 851, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/8 and -161\/810.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-62957147)\/(-143) - (-90)\/390. Round o to the nearest one thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 114238*n + 48496 wrt n?\nAnswer: 114238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*k + 305 + 196 - 5*k - 449 + 0*k.\nAnswer: -17*k + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 11) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**3 - 2*a**4 + a**3 + (2*a - 3 + 3)*(3*a**3 + 2*a**3 - 6*a**3) + 1573 - 1573 - 80*a**4 - 85*a**4 as o*a**3 + n*a**4 + c + v*a**2 + y*a and give n.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 - -37. Suppose -6*a + 2*a = y - 3, -5*a + t = -2*y. Let p be (-14)\/(-10) + 2\/y. Is -2\/3 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 25*r**2 - 2. Let x(u) be the second derivative of 2*u**4\/3 + 790*u. Give d(x(b)).\nAnswer: 1600*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a + 3. Suppose 0 = -5*t + p + 27, t - 2*p + 9 = 3*p. Let d be 6\/(-45)*t*5. What is i(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/9  (b) -0.5  (c) -0.1  (d) -131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -11. Find the third derivative of o*f**3 - 2*f**3 - f**3 + 2*f**2 + 2*f**2 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27\/45*320\/(-288))\/(1\/30)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 + 28. Suppose i + 0 = 2*g. Is 3153\/12 + g\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56.12 take away 0.1?\nAnswer: 56.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 247656 to the power of 1\/2, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 2:28 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of -s**4\/24 - s**3\/3 - 2*s**2. Let u = -4 + 3. Suppose 2*y + 4 = -0. Let w(q) = q + 1. Determine u*f(z) + y*w(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3874590.\nAnswer: 2, 3, 5, 43051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**4 - 4716*v**3 + 2798850*v**2 - 22090000*v = 0 for v.\nAnswer: 0, 8, 1175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n + 45. Let o(l) = -l - 23. Let q(b) = 7*o(b) + 4*z(b). What is q(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - -367.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*w - 5*w + 2*w + (3 + 2079*w + 11 - 2076*w)*(1 - 1 - 2).\nAnswer: -5*w - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/4 - (-6)\/(-16). Let b be (53 - (2 - -3)) + -2. Let a = b + -47. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2*q = -393, -2*l + 3*q + 124 = -3*l. Let n = -58 - l. Suppose 0 = h + 4*h - n. 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: Sort -4, 1\/11, -5\/2, -218.\nAnswer: -218, -4, -5\/2, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f**(3\/8)*f))**(-42))**39\/((f**(-2))**31\/(f\/f**(1\/4))**(-23)) assuming f is positive.\nAnswer: f**659","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1*-5992\nAnswer: 5992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/((-24)\/1))\/((-1)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 346, 1298, 2884, 5104?\nAnswer: 7958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -3*q**3 + 4*q**2 + 22*q + 14. Let k be v(-2). Put 2, 15, k, -11 in increasing order.\nAnswer: -11, 2, k, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4841.2 + 4832.2. Which is the third smallest value?  (a) -0.11  (b) u  (c) 3  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 31552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 18444787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26152.\nAnswer: 2, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 2 = 4*y, 5*y + 4*o - 22 + 18 = 0. Which is the third smallest value?  (a) y  (b) 0.09  (c) 223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 765, 754, 729, 684, 613, 510, 369?\n\"Answer: -k**3 - k**2 - k + 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 167 + -138. Suppose -2*v + x = -111. Calculate the highest common divisor of 20 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m. Let a(f) = 2*f**2 + 809*f. Calculate u(a(q)).\nAnswer: -4*q**2 - 1618*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 55675856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7087, 14095, 21011, 27841, 34591?\n\"Answer: y**3 - 52*y**2 + 7157*y - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -437 + 4811\/11. Factor -4\/11*a**2 + y - 6\/11*a.\nAnswer: -2*(a + 2)*(2*a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43297?\nAnswer: 29, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -387*q = -330*q - 456 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7356395, 14712807, 22069219, 29425631, 36782043, 44138455?\nAnswer: 51494867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1227870225 to the power of 1\/2, to the nearest integer?\nAnswer: 35041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/1596 and 143\/70.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - 1. Let v(j) = j**3 - 3*j**2 + 7*j - 6. What are the prime factors of v(c)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 7*b - 7*b + b**2. Let d(h) = h**2 - 7*h - 2. Let z be d(9). Suppose a - z = 5*a. Let p(j) = j**2. Calculate a*m(x) + 3*p(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -428 divided by 4\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 250557, -0.2, 5, -2\/3?\nAnswer: 250557","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 0.1, 0.11, -61, -5, -5\/2, -0.1, 12?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26.667 + -26.6737645. Round u to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/1035884 and -101\/3107652.\nAnswer: 3107652","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 - 28*b - 32. Suppose -19*a + 17 = -20*a. Is r(a) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 84563 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 - 92*i**2 - 99*i + 555. Let r be m(93). Suppose v = 2*v. Let p(z) = 1 - 3 + 2*z + v*z. Determine p(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1133)\/(-22) + (-2)\/4. Let l = -50 + y. Let z(x) = 3*x**2 - 2*x + 1. Give z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 5 - g**2 + 2*g**2 + 2*g - 2*g - 10 + 5*g**2 + 10 + (46 + 43 - 52)*(3*g + 2*g**2 - 3*g).\nAnswer: 80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 9:34 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -693 + 692.9. Sort v, -8, -13\/2, 0 in decreasing order.\nAnswer: 0, v, -13\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j + 63. Let d be w(-24). Let i(z) = 2*z + 15. Let b be i(d). Calculate the greatest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -6*g + 2. Let s be l(-3). Suppose -r = i - 11, -4*r = -0*i - 4*i - s. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98076 is divided by 1961.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44969 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26\/21 + 67\/105. Let j = 0.4 + -0.7. What is the smallest value in j, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(12) + 3).\nAnswer: -8*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*g**3 + 8*g**2 + 42*g**3 - 711*g + 713*g wrt g?\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 304568 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -7*n**2 - 8*n. Let m(s) = 2*s**2 + 3*s. Let v(z) = 8*m(z) + 3*u(z). Let q(l) = -l**2. Calculate v(q(y)).\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -18  (b) -3  (c) -7  (d) -0.4  (e) 0.2  (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 + 3 + 11 + (-6)\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 - 12. Let k be 0\/(0\/j + 3). Let o be 3\/(-27)*-3*6. Solve k = x + o, -3*s - 2*s = -4*x + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 3*r = -586, 4*y + 9*r = 4*r + 474. Suppose 6*m = 2*m + y. What is the remainder when m is divided by -1 + 2\/(-2) + 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 13*t**3 + 13*t**2 + 25*t - 9. Let n(o) = 3*o**3 + 3*o**2 + 6*o - 2. Give -2*j(m) + 9*n(m).\nAnswer: m**3 + m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13 - 13. Does 6 divide g + 3 + 0 - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*g + 2*g + 2*g + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-45)\/10 + 189\/756*13\/2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r + 1772 - 1747 = 0, 63 = 12*n - 3*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*s + 6872601 = -3*s + 606679. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2155 divided by 3?\nAnswer: -2155\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x**3 - 1300*x**2 - 140812*x - 5083356 = 0. What is x?\nAnswer: -111, -107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3073000351?\nAnswer: 907, 3388093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1145 and 73900?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1883 - -6?\nAnswer: -1876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1330 - 1?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 192 and 355134?\nAnswer: 11364288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -936*m*p**3 + 4*m*p**2 + 39*m*p + 2*m - 8341*p**5 - 239*p**2 + 6*p wrt p?\nAnswer: -5616*m - 500460*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 7654.715 micrograms?\nAnswer: 0.000000007654715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 6 = 3*p - j, p - 6*j = -27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v + 4. Let n(h) be the second derivative of -h**4\/12 + 5*h**3\/6 + 7*h**2\/2 - 6*h. Determine 5*k(q) - 3*n(q).\nAnswer: 3*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*n + 312 = 747 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 116 times -15.4433\nAnswer: -1791.4228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*x - 78 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3201606 + 175?\nAnswer: -3201421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5130 and 381010.\nAnswer: 195458130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/785  (b) 0.9  (c) 2\/7  (d) -268  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2245354 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 5*w - 15 = 10*u, -u - 13 = -3*w. Let g be 2\/(u - 0)*7. Let r = -0.2 + 0.3. Does r = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 9) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 1. Let i = -35 + 104\/3. Let q = -36\/7 - -65\/14. What is the closest to q in i, o, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 3 - (15 - 9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-11 - 4 - -3)\/(-2). Find the common denominator of (18\/(-12))\/(p\/(-83)) and -2 - 1 - (-70)\/(-12) - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 8, 5, -73, -2 in descending order.\nAnswer: 8, 5, 2, -2, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -122 + 215 - 93 + 27470*c - 7625*c as q*c + g and give q.\nAnswer: 19845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 901  (b) -277  (c) 4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -487 - 521 = -9*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6380 = 1196*n - 1486*n. Determine x, given that -5\/2*x**4 - 6*x**2 + 0*x + n*x**3 - 7\/2*x**5 + 0 = 0.\nAnswer: -3, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1 and 631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of -1\/24*k**4 + 4*k**2 - 1\/60*k**5 + 24 + 0*k + 1\/3*k**3. Let u(s) be the second derivative of g(s). Let u(i) = 0. What is i?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 14.9  (b) 193  (c) -565\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, h: 4, v: 2, e: 1, l: 3, j: 3}. What is prob of picking 1 v, 1 h, 1 l, and 1 j?\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 360 - 355. What is the closest to 1 in 0.04, -0.01, n?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 2*m**3 - 6*m - 13. Let b(p) = -2*p**3 + 7*p + 12. Give -6*b(y) - 7*u(y).\nAnswer: -2*y**3 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 + (-23)\/2)*(-87)\/(-87).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eec when three letters picked without replacement from {c: 1, d: 5, e: 3, j: 3, x: 1, q: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(190) + 2*sqrt(190) - sqrt(190)) + sqrt(190))*3)\/(sqrt(10) + 1*sqrt(10)*2) + (3 + 2*sqrt(19))**2 + 0 + sqrt(38)\/sqrt(2).\nAnswer: 16*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-4) - (-85)\/(-20). Does 9 divide ((-3)\/(-8)*r)\/((-6)\/104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7143 at least 7824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1383964 is divided by 377.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1*-152\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 2 - 3 + 6*j)*(4*j + 0*j - 3*j)*(2*j - 4*j - 3*j) to the form p + z*j + u*j**3 + h*j**2 and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24 and 864260412?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 6911 divided by 43\nAnswer: 6911\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 19097166 divided by 1736106\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2992\/68*1 + -11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -1. Which is the nearest to -2\/5?  (a) s  (b) 2\/7  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14628 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (5 + 4*(-1 + sqrt(931)))**2 - ((1 + sqrt(931) + -2)**2 + sqrt(931) - (sqrt(931) - ((sqrt(931) - -2*sqrt(931))**2 + -3)))*6.\nAnswer: -40956 + 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z - 3*z + 3*z - 3*z + 3*z - z + (5 - 4 + 1)*(0 + 0 + z) - 2*z + 0 + 0 + 16*z + 5*z - 9*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3*3\/(18\/64). Let y = s + 98\/3. Which is the second biggest value?  (a) -2\/3  (b) y  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 33 + 4*j - 76 + 44. Give i(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -1) + (-24)\/(18480\/2266)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 209 - -50b?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0  (b) 4  (c) -1\/10  (d) -1  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 583*j + 58708. Determine n(-101).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 820 is divided by 76?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 (base 7) in base 9?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*u**2 - 12*u**2 - 3*u**2)*(-14*u + 22*u + 24*u).\nAnswer: -800*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 10*(1917\/(-710))\/((-3)\/(-2))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 32*m**2 - 5*m + 37. Let g = -70 - -21. Let w = -54 - g. Let a(c) = 48*c**2 - 7*c + 56. Let d(t) = w*a(t) + 7*o(t). Differentiate d(r) wrt r.\nAnswer: -32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 114793085 divided by -2?\nAnswer: -114793085\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.9167099m?\nAnswer: 916709.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5\/3  (b) -1\/12  (c) -427  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8 and -80789.\nAnswer: -646312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/5, 4, 1.8, -3\/4, 1, 1\/11.\nAnswer: -3\/4, -3\/5, 1\/11, 1, 1.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of m**3\/6 + 4*m**2 - 2*m. Let w be a(-5). Suppose w*t - 60 = -5*b, 5*t = 5*b - b - 11. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 2:35 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.694 + -1.52. Let p = 599.82 - 600. Let y = p + m. What is y rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20)*-1)\/sqrt(10) - sqrt(2)) + 2*sqrt(288) + -2*(4 + 2*sqrt(200))**2.\nAnswer: -1632 - 298*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 AM and 9:33 PM?\nAnswer: 601","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -33*c**2*i**3 + 2446*c**2*i - 9*c**2 - 2428*c*i**5 + 3*c wrt i?\nAnswer: -198*c**2*i - 48560*c*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 10*m**2 - 21*m - 4. Let z(p) = 3*p**2 - 6*p + 3. Let i(w) = f(w) - 4*z(w). Let b(u) = -u**2 + 2*u - 15. Calculate -3*b(s) + 2*i(s).\nAnswer: -s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-5*(sqrt(147) + 1) + 0 + 2 + -4).\nAnswer: -175*sqrt(3) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/f**(-1\/2))\/f*f)**31)**(23\/2)\/((f\/f**2*f)\/(f*f**6))**(-2\/23) assuming f is positive.\nAnswer: f**(49141\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 156*l**2 - 136*l - 20.\nAnswer: 4*(l - 1)*(39*l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79599, -159199, -238801, -318405, -398011?\nAnswer: -477619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -34224 and -2721?\nAnswer: 31503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - g - 307 = -3*s, -g - 3*s = -155. Let t be -9 - (9 - (-1 + 8))*-14. Calculate the greatest common divisor of g and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 2*c = -10. Solve a - c*n - 26 = 0, -a + 14 = 3*a - 2*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24 - 17. Let s be -2 - 9\/((-27)\/12). Suppose s*x - 3*n = 160, -8*n = 2*x - 4*n - 146. What is the highest common factor of x and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 - 3*s + 7. Let o(b) = 13 - 21 - 2*b + 11 + b. Let m(a) = 2*a - 6. Let k = 5 + 2. Let p(l) = k*o(l) + 4*m(l). Calculate -7*p(x) - 3*t(x).\nAnswer: -3*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2616.5187 rounded to the nearest ten?\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/35924 and 45\/5829952.\nAnswer: 40809664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - -4) + 3\/(0 - -3). Suppose 17 = -q*s + 283. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(95))\/sqrt(5) + (sqrt(171)\/(sqrt(45)\/sqrt(5)))**2.\nAnswer: sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 64.96921 to the nearest integer.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 2*h - 2*h = -24, 5*g + 2*h = 32. Let k = g + -5. Suppose -38 = -4*z - 3*a, 0 = -z + k*a - 2*a + 13. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32886 and 189430668?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1446580.9 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(2736))**2 + sqrt(2736) + sqrt(2736) + -3)*2 + (-3 + sqrt(2736)*2 - sqrt(2736))*1)*1.\nAnswer: 60*sqrt(19) + 5463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -1750*o - 417. Let j(w) = 1751*w + 385. What is -12*d(u) - 13*j(u)?\nAnswer: -1763*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-238 + 117 - 55)*(-11*p + p + 2*p + (2 - 4 + 0)*(-2 + 2 + 2*p)) in the form s*p + g and give s.\nAnswer: 2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -4) + -15 + 6 + -5 + 6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -33185 or -33183?\nAnswer: -33185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -17 times 362.0571\nAnswer: -6154.9707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6667?\nAnswer: 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = j - 3*j - 16. Suppose -4*v - 4*s + 24 = 0, -3*v = -5*v - s + 12. Let d be v\/(-10) + j\/(-5). Sort -1, -5, d in decreasing order.\nAnswer: d, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24 - 21. Solve 0 = 2*f - 3*f - i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-27)\/(p*p**(-38)*p)*p**(2\/65)*p**(-33))**(-34) assuming p is positive.\nAnswer: p**(52972\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -251*u + 6326456 + 397818 = -8782757. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 58*d - 335. Let k be h(7). What is the greatest common factor of 355 and k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -516 - -5?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.5261730173196 and 0.6.\nAnswer: 1.1261730173196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*h = -64*h - 3*c - 17, -5*h - 4*c = -29. Let k(j) = -28*j. Let f(d) = -9*d. Determine h*k(l) - 14*f(l).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2931374 and 29230.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 2.1, 1\/9, 0.2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 212 - -2?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(66)*1)\/(-3*sqrt(384)).\nAnswer: 5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.37 + -0.07. Let h(z) = 9*z**3 + z**2 + z - 1. Let g be h(1). Let l be (-1)\/(g*(-1)\/(-4)). Which is the third biggest value?  (a) -4  (b) i  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 - 14. Let f(u) = -2*u + u - p*u. Let z(j) be the third derivative of -j**4\/24 - 231*j**2. What is f(z(q))?\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.24886 rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -105 - -215. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 87308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/14)\/((-3)\/(-21)). Let d = 2 + 1. Which is the second biggest value?  (a) o  (b) -0.2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 - -27. What is the second smallest value in -3, y, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 n when three letters picked without replacement from {n: 11, t: 9}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -3246?\nAnswer: 1\/3246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2\/901 + 1784\/8109. Let c = 11.67 + 0.23. Let v = c + -12. Sort w, v, -4\/3, -0.3 in increasing order.\nAnswer: -4\/3, -0.3, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -13*i**3 + i**2 - 2*i - 2. Let d(a) = a**2 + 5*a - 25. Let t be d(-8). Calculate u(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -236 = -235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1076062157997172 plus 0.4?\nAnswer: -1076062157997171.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**0)**(-44)\/(y*y**(3\/4)*y**4))**48 assuming y is positive.\nAnswer: y**(-276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 491640.\nAnswer: 2, 3, 5, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 4*k - 36. Let m = k + 25. Let d = -53 - -105. What is the greatest common factor of m and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-68)\/(-18) - 10\/(-45). Solve 2*c + 11 = 3*o, 3*o - 7*o - 12 = z*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (14\/10 + -1)\/(-1*(-21)\/(-105)). Which is the closest to -3\/8?  (a) 0.1  (b) d  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.1 - -5.1. Let d = -3.84 - -3.94. Let p = 11 - 16. What is the nearest to d in s, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 915\/7 - 131. Let p = 0 - -0.2. Let q = -1.3 - -0.3. Which is the third biggest value?  (a) q  (b) g  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 4*i**2 - 553*i - 413. Calculate y(139).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1765 - -1767. Suppose 5*v - 26 = -1. Sort v, g, -1 in decreasing order.\nAnswer: v, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + 74*l**2 + 643*l - 762. Calculate t(82).\nAnswer: -1828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) -2  (c) 3\/5  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11626313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1564*n + 3611 = 1504*n - 3225*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 - r + 1. Let o = -9 + 8. Let m(b) be the third derivative of b**6\/120 + b**5\/15 - b**4\/12 + b**3 - 2*b**2. Determine o*m(i) + 4*f(i).\nAnswer: -i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 407*x + 30. Let t be b(-8). Let c = -1906 - t. Is 12 a factor of (c\/50)\/((-1)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/18*7360812\/(-24935)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.9 - -0.7. Put r, 0.1, -1 in ascending order.\nAnswer: -1, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.39*-0.18779\nAnswer: 0.0732381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.3 - 1. Let r = -0.2 - -1.4. Let a = 3.8 + r. Sort 1\/2, j, a in increasing order.\nAnswer: j, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of h**5\/20 - 3*h**4\/4 - 10*h**3\/3 - 2*h**2 - h - 22. Let p be m(11). What is the highest common factor of p and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2567?\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1401144 (base 5) in base 16?\nAnswer: 6e8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/d**5))**(5\/16) assuming d is positive.\nAnswer: d**(25\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2189 - 1149. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1271 + (8 - 6) + 5. What is the highest common divisor of g and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 - 6*g**2 + 6*g - 8. Suppose -17 - 8 = -z. Suppose -z = 6*h - 3*h + 2*b, -10 = h - b. Is i(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32, -57, -80, -107, -144, -197, -272, -375?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 22613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -24, -64, -102, -138, -172?\n\"Answer: i**2 - 43*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 + -4)\/(-4 - -2). Let x(q) = -b*q + 3*q - 3*q. Let k(h) = -h**2 - 2. Let n(u) = u**2 + 3. Let y(o) = -3*k(o) - 2*n(o). Calculate y(x(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4*-1304.\nAnswer: -521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -23466.8624 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s + 73 = 6*s + 9*s + 3*b, 0 = -9*b + 171 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d**4 - 30090*d**3 + 783354*d**2 - 5093998*d = 0 for d.\nAnswer: -15071, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(1\/4)\/(z*(z\/((z\/z**(-6))\/z))\/z*z))\/(z**(-3\/4)\/z**(-1))*(z**(-2)\/z)**18*(z\/(z*z**(-7\/5)))\/z**(-2) assuming z is positive.\nAnswer: z**(-233\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -1434 - 10*f - 6*f + 293 + 19*f - 4*f as w + g*f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Solve -350 + 98 = -28*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 105 (base 12) to base 15\nAnswer: 9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -32 - -1566166?\nAnswer: 1566134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-40)\/(-90)*(-3)\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 6*p**3 + 6*p**2 - 5*p - 10. Let m(j) = j**3 + 2*j**2 - j - 2. Let d(c) = -h(c) + 5*m(c). Factor d(g).\nAnswer: -g**2*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331.7887 rounded to zero decimal places?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -2060*a**3 + 127368*a**2 - 104236*a + 2928 = 0. Calculate a.\nAnswer: 3\/103, 4\/5, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 5:23 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*7\/(-273)*1.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -5*m - 18. What is g(18)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, i: 2, y: 5}. Give prob of sequence py.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - 211?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 6:01 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 75.6*-77386.\nAnswer: -5850381.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 588*k**5 + 1092*k**4 - 753*k**3 - 1086*k**2 + 165*k - 6 = 0.\nAnswer: -2, -1, 1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/4 and -71\/1168?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrn when three letters picked without replacement from {r: 18, n: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 s when three letters picked without replacement from ttttststtstt.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -40*h + 251 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + 39*o**2 - 177*o - 211. Let i be x(-43). Solve 2*r = i*g - 12, -3*g + 16 = 15*r - 20*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + 7403173?\nAnswer: 7403177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 48 and 147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 411 = 3*c - 377*a + 375*a, -137 = -c + a. Solve 36*w + c = -7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 2 = -38. Suppose 200*y - 44 = 189*y. Calculate the remainder when (6 - -18) + y*(-2)\/8 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) 40  (c) 0.06  (d) 2\/5  (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -48*s**2 - 11*s + 6. Let a(u) = -49*u**2 - 10*u + 5. Let o(f) = -7*a(f) + 6*l(f). Suppose 0 = -7*h - 13 - 15. Is o(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 52\/65 - 2\/(-10). Suppose v = 4*u + 5*m - 2, -u + m = -12. Is 2 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0010427 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 117 divide 273509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {p: 1, o: 2, t: 1, k: 1, v: 3, l: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-4)\/(-6)*2\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + (1 - 8) + 8 + 2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -63 - -153. Calculate the greatest common factor of 60 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4872 divided by -84\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 5, 4\/5, 1\/2 in decreasing order.\nAnswer: 5, 4\/5, 1\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -b*j*r**2 + 3*b*j*x - 32*b*r**2 - 2*j*r**2 - 22*r**2*x - 5*r*x wrt b?\nAnswer: -j*r**2 + 3*j*x - 32*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 281957 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(96)*-2 - (sqrt(96) - 2*sqrt(96))*6)\/((sqrt(288) + sqrt(288)*1)*-1) + -5 + 4)**2.\nAnswer: -2*sqrt(3)\/3 + 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 115, 116, 117, 118?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 1\/3, 419, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 233, -4.7, -3 in descending order.\nAnswer: 233, -3, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -0.9. Let s = 4.183 + -0.183. Which is the closest to l?  (a) -9  (b) 1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 95953810?\nAnswer: 2\/47976905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 2 - 3*u + 14 - 27*u.\nAnswer: -30*u + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 1 + 2)*(-a + 2 - 3*a + a) as t*a + h and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the second derivative of -q**4\/12 - 4*q**3\/3 + 3*q**2\/2 + 5*q. Let b be s(-8). Solve -6 = b*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.6 - 3.5. Which is bigger: z or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2438, 2437, 2436?\n\"Answer: -t + 2439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-156)\/(-8) - 1\/2. Solve -5*q + 2*c = 3*c + h, -4*q = -c + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (24\/(-2108))\/(94\/(134232\/(-1260)))\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.27 - -10480748\nAnswer: 10480748.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 2\/3, 259, -2, 2 in ascending order.\nAnswer: -2, -0.4, 2\/3, 2, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-82)\/(-26) - 28\/182. Solve 0 + r = -w + 2*c, -2*w - 2*c + 6 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19070, -18819, -18568?\nAnswer: -18317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + -2425?\nAnswer: -2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 4:09 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 6. Let t(v) = v**2 - 2*v - 1. What is t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*c + 2*c**2 + 4*c**3 - 11 - 2*c**3 + 40 - 10 + 7 to a*c + b*c**2 + o + f*c**3 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {v: 5, u: 1, p: 2, k: 1, e: 5, s: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 517197?\nAnswer: 3, 172399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 190849 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*((q\/(q*q\/(q\/(q*q**(-6)))))\/q*q)\/q)\/q)\/q**(-2\/7)*q**(-2)*q**(1\/4))**(6\/11) assuming q is positive.\nAnswer: q**(213\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -174*41\/(3444\/(-28))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -485*i**3 - 633800*i**2 + 19*i + 2853460?\nAnswer: -2910*i - 1267600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**1)**(9\/8)*i**(-4)\/((i\/(i*i\/(i\/i**(-9))))\/i))**(-16))**(8\/15) assuming i is positive.\nAnswer: i**(464\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q + 4*q - 5*q)*(1073 - 885 + 1645)*(-5 + 2 + 4).\nAnswer: 3666*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of 0*u**3 - 3*u**2 + 0 + 0*u + 1\/84*u**4 + 1\/210*u**5. Factor t(a).\nAnswer: 2*a*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*w + 52*w - 9*w - 21*w - 15*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 596, 12, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3168577 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 37*u - 3. Let g(r) = -34*r + 3. Let b(t) = -12*g(t) - 11*k(t). Let y(f) = 4*f - 10. Calculate 14*b(c) - 4*y(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7869 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/1263870 and 49\/90?\nAnswer: 1263870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*s - s + 2*s)*(66*s**2 - 80*s**2 + 99*s**2) as z*s + r*s**3 + x + j*s**2 and give r.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i + 23. Let t be h(-11). Let m = t - -6. Calculate the greatest common divisor of 198 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85696744.\nAnswer: 2, 7, 73, 20963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -2\/3  (b) -10\/77  (c) 2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -2325*b**4\/4 + 5059*b**3\/3 - 288. Find the third derivative of j(i) wrt i.\nAnswer: -13950","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 4*c - 1. Let s(y) = 498980*y. What is b(s(x))?\nAnswer: 1995920*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -146*o + 17*o + 30*o - 132*o - 4*o in the form r + u*o and give u.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide ((-870)\/(-75))\/((-3)\/(2370\/(-4)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 85600.41 centimeters?\nAnswer: 856004100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 121 - 65. Let a(h) = -h - 9. Let t be a(-16). Calculate the greatest common factor of t and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 58*y**4 - 3*y**3 - 4*y**2 + 5. Let m(a) = -59*a**4 + 2*a**3 + 4*a**2 - 4. Let t(b) = 2*c(b) + 3*m(b). What is the third derivative of t(v) wrt v?\nAnswer: -1464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 2922412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j + j - 2*j + (-10 + 2 + 0)*(-3*j + 4*j + 4*j).\nAnswer: -41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j**5 - 6868*j**4 - 2978860*j**3 - 26439948*j**2 - 78950592*j - 78766128 = 0. Calculate j.\nAnswer: -854, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (40\/6)\/((-3)\/9). Find the common denominator of (22*1\/(-5))\/(36\/r) and -23\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 88547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30734?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -3*u**2 - 4. Determine g(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - 10\/(-4)) + -1. Which is the nearest to v?  (a) 0.5  (b) 0.03  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 + 163*r - 1816. Give n(-174).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -r + 21. What are the prime factors of r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = 8*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(245)*4 + (3*sqrt(25))\/sqrt(5).\nAnswer: 31*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**17\/r**(-33))\/(r*(r**(1\/38)\/r)\/r)**(1\/16) assuming r is positive.\nAnswer: r**(30437\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 24399 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*q - 10*q - 3*q + 2*q as h + c*q and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1109 divided by 4\nAnswer: 1109\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) + (sqrt(76) - (sqrt(76) + 1*sqrt(76))) + sqrt(76))*-4 - (sqrt(76) + (2*sqrt(76) - sqrt(76) - sqrt(76)))*3)\/((sqrt(100)*-1 - sqrt(4))*1*2)*3.\nAnswer: 7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 113880 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*s**4 + 260*s**2 - 2*s**4 - 5*s**4 - s**3 - 249*s**2 in the form a*s**2 + p*s + z + u*s**3 + w*s**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2301234 + 23021?\nAnswer: 2324310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 417 and 22474493.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*(t\/(t**(-11)*t*t))\/t)**(12\/7)\/(t\/t**(-16\/3)*t**(4\/15)))**(-50) assuming t is positive.\nAnswer: t**(-3690\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, j: 2, p: 1, e: 2, g: 1, i: 1}. What is prob of picking 1 g and 1 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17976*g**5 - 82714*g.\nAnswer: 359520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 483\/5 + -96. Let u = -33.3 + 36.3. Which is the smallest value?  (a) -3\/2  (b) -4  (c) u  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbb. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = r + 4*y + 8, 0 = -5*r + 4*y + 344. Let k(p) = 4*p + 4. What is the least common multiple of k(4) and r?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 2*l - 0 + 44, 0 = -3*m + 2*l + 34. What is the greatest common factor of 430 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-1 + (-6 - 8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000573158 rounded to seven decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 4 = 0, -4 = -2*o + 5*b - 5. Solve -3*c - o = -8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3466 = -112*v + 5942. Is 84 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.3 and 156.5?\nAnswer: 156.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15646?\nAnswer: 2, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (7119651\/1776)\/187 - 22?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -116\/3 - -39. What is the closest to s in -0.3, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20*462\/140 + -41.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*d + 7. Let g be 15\/((-105)\/(-2)) + (-19)\/(-7). Sort g, d, -4.\nAnswer: d, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 34 = w, -5*d - 3*w + 5 = -29. Suppose -92 = -d*j + 92. Suppose -g + 2*v + j = 0, 0*v + 3*v + 66 = 3*g. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 520 + -526. What is the fourth biggest value in -5, 1\/6, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -12*t - 30 - 2 + 20 + 26. Let v = -4 + 1. Let p(k) = -k + 1. What is v*f(r) + 42*p(r)?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-7))\/(535\/(-749)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p + 10. Let q be z(-8). Suppose 0*c + 2*f - 6 = q*c, 2*f - 2 = 0. Sort -4, 1, c in decreasing order.\nAnswer: 1, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 440 = 5. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 45 = -8*v. Suppose -4*w + v*w = 25. Solve -5*u - 3*j - 26 = -0*u, 5*j - 10 = w*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1398.86 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 471 - 1885\/4. Suppose -2*j + 0*j = -2*f - 6, -3*j + 5*f = -19. What is the nearest to 1 in 0.5, -3, m, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*r - 25. Suppose 2*q + 1 = 3*g - 4*g, q = -2*g - 5. Let t(v) = 50*v**2 - 1. Let u be t(q). What is the greatest common divisor of r and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101110001 + 1011110110?\nAnswer: 10001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 3*r**2 - 4*r - 2. Let z be d(-3). Let h(w) = -w**2 - 9*w - 9. Let j be h(-8). Let b be (-276)\/(-8) + j\/(-2). Solve -z = -5*v - b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 15607*a + 46498?\nAnswer: 15607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 - -24. Solve 3 = -2*c - w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.0266597 micrometers?\nAnswer: 0.0000000000266597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, b: 10, r: 2, d: 1, a: 2}. What is prob of sequence bbbw?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 32329 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: Solve 221*w = 99*w + 90*w + 672 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 651 + -295. What is the units digit of 89*(m\/28 - 6\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -47 in -2, -0.4, -5\/4, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, -24461.\nAnswer: -24461, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 369976*f - 369976*f - 3 - 79*f**2 + 7*f**2 + 0*f**2 - 4*f**2 + (2 - 2 + 2*f)*(5*f + 0*f - 4*f) in the form t + q*f**2 + p*f and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10340 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(76)*-1)\/(-4*sqrt(4)*-4)*4.\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lllc when four letters picked without replacement from {c: 4, l: 14}.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 5*v + 2. Let j be -2 - (6 + -2 - 2). Let t be k(j). Let i = t + 5. Calculate the greatest common divisor of 121 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 546 by -6.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - 1. Let a = l + 5. Solve -2*u - 10 = -0*u - a*p, 2 = u + 2*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*v + 4*v = 6*v - v + 507 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3671 - 3585. Solve -15*d + 26 = w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -3, 0.4, -237?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of 0*r**3 - 1\/6*r**6 - 1\/2*r**5 - 5\/12*r**4 + 0 + 15*r + 0*r**2. Factor q(a).\nAnswer: -5*a**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 80*m - 184. List the prime factors of z(10).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 35826, 71651, 107478, 143307, 179138?\n\"Answer: f**2 + 35822*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 23, 57863 in descending order.\nAnswer: 57863, 23, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 + 9*f**2 - 9*f - 132. What is s(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g = -5*g - 72. What is the highest common factor of 129 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128*w - 500781 - 304979 = 0. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-r**3 - 48*r**2 - r**3 + 46*r**2)*(0 - 4 + 8)*(-1 + 4 + 3) - 3*r**3 + 2*r**3 - r**3 as c*r + m + t*r**3 + u*r**2 and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-9))**(-31) assuming s is positive.\nAnswer: s**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8\/35 + 2\/35. Let l = -43.76 - -44. Let k = -5.24 + l. What is the nearest to s in -4, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 - d**2 - d + 1. Let z(x) = -5*x**3 - 4*x**2 - 4*x - 9. Let r(v) = -4*h(v) - z(v). What are the prime factors of r(-3)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 7 = -p, l - 5*p = -1 - 30. Let d = l + 13. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*u + u - 2*u)*(3*u**2 + 3*u**2 - 4*u**2) - 166*u**3 - 4 + 167*u**3 - 1 - u)*(2*u**2 - 7 + 7).\nAnswer: 6*u**5 - 2*u**3 - 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 77682 and 186?\nAnswer: 77496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 12 = -4*b, -3*b - r - 210 = -207. Solve -c + 3*i - 4 = b, -15 = -5*c + 3*i - 11 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -818288 divided by 1028?\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 340 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aylylyyyykllyl. Give prob of sequence llyk.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-1)*g**(-2\/71)\/g*g)\/(((g\/g**(-17))\/g)\/g*g**5*g) assuming g is positive.\nAnswer: g**(-1564\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gjjgjjg. Give prob of picking 3 j.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39*r + 415*r**4 - 152*r - 2*r**5 + 128*r**4 + r**2 wrt r.\nAnswer: -120*r**2 + 13032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1120389 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) -1  (c) 5  (d) 0.05  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 5. Let t = 0.9 + -0.93. Let a = t - -2.03. Sort -1\/5, l, a in decreasing order.\nAnswer: l, a, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 4*b**3 + 204*b**2 + 10*b - 11. Let q(y) = 3*y**3 + 202*y**2 + 8*y - 8. What is -4*o(k) + 5*q(k)?\nAnswer: -k**3 + 194*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20313352, -20313353, -20313354, -20313355, -20313356?\nAnswer: -20313357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*w + 5*i, 0 = -w + 5*i + 5 - 19. Suppose 4 = 2*s - 0*s + 4*x, -4*s + x = w. Is s > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of 7*h**5\/30 + 2*h**3\/3 - 13*h**2. Differentiate c(b) wrt b.\nAnswer: 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07562 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5377?\nAnswer: 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/6)\/(2142\/5508).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001101 (base 2) to base 15.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2876\/4305 + -2\/1435. What is the second biggest value in 42\/71, q, 0.5?\nAnswer: 42\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -4*t + 5*w - 30, 4*t + 8775*w = 8787*w - 56 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 71 = l. Let j = 45 + -41. Suppose 0 = j*o - 27 - 69. Calculate the remainder when l is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 + c**2 - c + 1. Let m(n) = -4*n**3 + 10*n**2 - 18*n - 9. Let q(p) = -m(p) + 5*w(p). Calculate the remainder when 83 is divided by q(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from aaiaiixxsxiiai.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-552)\/(-11) + (-6)\/33. Suppose 4*n - m = 3*o, n - 3*o - 39 = -2*n. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57036 - 759 = 1442*o - 20149 for o.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 0)*(727 - 727 + 151*z)*(-1 - 2 + 4).\nAnswer: 151*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 12 = 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18755 divided by -5?\nAnswer: -3751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z**3 + z**2 + z - 2. Is n(2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-3*sqrt(228) - sqrt(228) - sqrt(228)) + sqrt(228))\/(sqrt(12)*-3*-6).\nAnswer: 7*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 42*o**2 + 22*o - 20.\nAnswer: 2*(o + 1)*(21*o - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 49395061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5)\/25 - (-71)\/5. Let z(i) = -7 + 2*i + g + 2*i. Let w(b) = -b**3 + 4*b**2 - 6*b - 5. Let j be w(0). Let r(d) = -3*d - 6. Determine j*r(t) - 4*z(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -228.8315881 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -16 + 15c2?\nAnswer: 15aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2 = 0, 4*g - 2*g = -5*w + 510. Let s(a) = a**2 + 331*a - 2019. Let m be s(6). Let l(f) = 250 - g - m*f. Let j(p) = 10*p**2. Calculate j(l(u)).\nAnswer: 90*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (10\/3)\/(1\/3). Suppose s = -4*x - s - 2, -4 = 2*x - 2*s. Let j = k + x. Solve -j + 4 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -3\/5, 1\/4, 2\/9, -7079\/6, -19, -5, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 1 + 11)*(h + 2 - 2).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*d + 12\/5*d**2 + 0 - 24\/5*d**3 + 4\/5*d**4.\nAnswer: 4*d*(d - 5)*(d - 2)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 - 2*g - 5. Let p be q(4). Let o(c) = 6*c**2 - c. Let m be o(1). Suppose -4*a + m*a = 8. Solve b = p*b - a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 2540655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Solve -i + y - 3 = 0, 2*i - 3*i = 2*y - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27205427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 0*x + 3*x)*(-415*x - 11703 + 11703).\nAnswer: -415*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*o + 6096 = 6932 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.15?  (a) -13  (b) -0.5  (c) 4  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 156*l**2 + 2*l. Let z be m(8). Round z to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -28\/3091313 and -39\/407?\nAnswer: 34004443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -450*v + 3. Let i(k) = -k + 1. Let t be (-144)\/(-176) - (-2)\/11. Let a(x) = t*l(x) + 5*i(x). Is a(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 5 + 1)*(l + 0 - 9*l + 1)*(-118 + 284 - 108) in the form i*l + k and give i.\nAnswer: -1392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -60973, -61008, -61043?\nAnswer: -61078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6279 + -6247. Put 4, 2, -3, -4, d in increasing order.\nAnswer: -4, -3, 2, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bcnxpbl. What is prob of picking 2 b and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -3*b + 100, -b + 4*y - 72 = -3*b. Calculate the remainder when b is divided by 176\/18 - (-8)\/36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 2 + (2 - 0) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 16049*r**2 - 6564*r**2 - 6859*r**2 as i*r**2 + p + s*r and give i.\nAnswer: 2626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y*y**8\/y*y*y*y*y**(-4)*(y**(-2\/5))**(-5\/7) assuming y is positive.\nAnswer: y**(58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 4*z - 1293 - 245, 4 = -2*b. Calculate the highest common factor of z and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + -2 + -5)**2 - sqrt(6)\/(sqrt(9)\/sqrt(3)).\nAnswer: -15*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1789731\/66056 + -7126\/359. Let u = 1\/184 + j. Let n = -23467\/2013 + -6\/671. Calculate the common denominator of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - (-3 + 1)) + 1268. Let u = -702 + q. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 6*u**3 - 966*u**2 - 9. Calculate v(161).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*q - 10 - 64*q + 139*q.\nAnswer: 65*q - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 4*q**2 - 5*q - 1. What is the remainder when w(6) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/124?  (a) -0.07  (b) -1  (c) 1045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/5  (b) 248  (c) 37  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -312.92 - 7.08. Let q = s + 319.9999145. What is q rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7659 + -135.5\nAnswer: -7794.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -81 - -87. Suppose q*a = 9 + 3. Solve 4*g - 8 = 0, 3*r - 13 = -4*g + a*g for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -3*f. Let k(o) = -3*o - 4. Let v(b) = -8*b - 11. Let n(u) = -11*k(u) + 4*v(u). Determine n(p(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101001011100110101011001 - 10?\nAnswer: 10101001011100110101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 25 + s**2 - 19 - 3.\nAnswer: s**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -79*w**2. Let o(x) be the first derivative of x**2\/2 + 18. Calculate a(o(v)).\nAnswer: -79*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + 22 = 2*w, -3*w + 651 - 646 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.06, -0.1, 0.5, 2 in increasing order.\nAnswer: -0.1, 0.06, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4279003 to the nearest integer?\nAnswer: 2069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-24444)\/60*5\/(-3) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**3 + 5*a**3 + 39787 - 79568 + 3*a**3 + 39781.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/4 + 102*d + 203.\nAnswer: (d + 2)*(d + 406)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2877 + 1614 + 1263 + 95*l.\nAnswer: 95*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6413 - -6451. Solve 12*s = v*s + 78 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -4575*u**2 + 8*u. Let p(v) = 1526*v**2 - 3*v. Calculate 6*o(t) + 17*p(t).\nAnswer: -1508*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**2 + 3 + 4*t**2 - t**2)*(3*t - 2*t + 3*t).\nAnswer: 4*t**3 + 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 117343*h - 821403. Calculate d(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = -c + 9, -10*c + 13*c - 13 = -5*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pphz when four letters picked without replacement from pdzvkddhpdpdv?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 + 8*k**2 + 6*k - 2. Let w be i(-7). Suppose 33 = 4*u + 5*a - 12, w*u + 5*a = 60. Is (-499)\/(-2) - u\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 4*f + 19, -3*u - f + 4 = -3. Let i be 0 - 3 - (-3)\/u. Put i, 4, -3 in increasing order.\nAnswer: -3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 4*f**3 - 6*f**2 + 2*f - 8. Let u(b) = -b**3 + b. Let d(c) = -n(c) - 10*u(c). Let o(p) = p**3 - p + 1. Let z(q) = d(q) - 8*o(q). Factor z(r).\nAnswer: -2*r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/3908200 and -119\/1172460.\nAnswer: 11724600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h - 1 - 6*h + 0*h - h to the form k + p*h and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -5*i**3 - 4*i**2 - i + 4. Let m(b) = 7*b**3 + 4*b**2 + b - 4. Give 2*m(l) + 3*r(l).\nAnswer: -l**3 - 4*l**2 - l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -13483.193 to the nearest 100.\nAnswer: -13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -32 - (-16 + 8) - -19 - 32.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 94*g - 1. Let h(t) = -t**2. What is q(h(v))?\nAnswer: -94*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -878 - 462. What is v rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165489 is divided by 333?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1087.8969247 - 1087.9. Round i to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 AM and 5:17 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -73, -78, -71, -46, 3?\n\"Answer: r**3 - 12*r - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 388020 and 1054344.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -123\/10  (b) -1\/7  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 226 divided by -226\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*p - 45 = -57*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 AM and 11:04 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1746, -14444, -66524, -172440, -350138?\n\"Answer: -2991*r**3 + r**2 + 4744*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, i: 1, o: 6, n: 2, x: 4}. Give prob of sequence gn.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 95.4384ml to litres.\nAnswer: 0.0954384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -589 - -834. Let b be 0*2\/4 - 20. What is the common denominator of 32 and x\/b + 3 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2 + c**2 - 8 + 9 - 5*c + c. Let a(d) = -3*d**2 + 11*d + 3. Let u(v) = -4*a(v) - 11*y(v). Factor u(t).\nAnswer: (t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -16 + -43da?\nAnswer: -4412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4089\/8 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.5  (b) 635.9  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -356 - -355. Let m be (3 + 2 - 1)*i. What is the closest to -3\/14 in m, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12 + (1 - 0) + 0. Let g be 4\/(-18) - r\/(-18). Factor 1\/2*h**2 + h + g.\nAnswer: (h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 800262?\nAnswer: 2, 3, 23, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -683 times 0.5\nAnswer: -341.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1750*-375950.\nAnswer: 657912500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 4*y - 15 = -y, 2*l - y = -7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000097 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8bcb885 - -4?\nAnswer: -8bcb881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -7*c - 203. Let d be u(-29). Let g be (2 + 7 - 1) + -3. Suppose -2*w - 3*n - 12 = -g*n, 6 = 3*w + 5*n. Sort w, d, 3 in ascending order.\nAnswer: w, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 433511043?\nAnswer: -433511034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/120 and 16\/75.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((2 + -4)\/(-2) + 3)\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*(-6)\/16)\/(126\/28)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u - 3*u + 7*u + (3 - 4 + 0)*(-2*u + 2*u + u) + 4*u + 50 - 3*u - 13.\nAnswer: 2*u + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7236 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/(-7980)*-280 + 4\/38?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2021143 (base 5) to base 10\nAnswer: 32673","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17463255 is divided by 3142.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bsbnsqsbbbjnssbsb. Give prob of sequence njn.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36 + -6. Suppose 5*c + 10 + q = 0. Let n be (-6)\/c*(57 + -9). What is the highest common factor of 90 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -30*v + 15. Let f be o(-4). Let s = -135 + f. Solve -2*c + 10 = 0, q - 2*q + c - 5 = s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -22*q**2. Let b(w) = -2*w + 4. Let c(x) = -21 + 41 - 18. Let s(k) = -b(k) + 2*c(k). Determine m(s(j)).\nAnswer: -88*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*j - 3*j + 4*j)*(5*j + 8 - 8) + 5*j**2 + 0*j**2 + 0*j**2 to q*j + m + n*j**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18193281?\nAnswer: 3, 17, 356731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*m + 41*m - 22*m - m**2 + 14*m**3 to the form c*m + i*m**3 + t + n*m**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.6 - -1.1. Let v = 3359 + -352697\/105. Put 3, q, v in ascending order.\nAnswer: v, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -597866214595 less than 0.1?\nAnswer: 597866214595.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -576094907\/21073013 + 4\/296803. Let n = -248576\/1065 - a. Let w = -206 - n. Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17*-0.05827.\nAnswer: 0.99059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 62713*p - 234895 wrt p.\nAnswer: 62713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 141*q - 183. Let y be c(2). What is the greatest common factor of y and 1991?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -363664980 by 173670.\nAnswer: -2094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-1\/3)\/o)**17*(o**(-2\/7))**27)**(-6\/7) assuming o is positive.\nAnswer: o**(1276\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5727\/5 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1038988*m**3 + 86839*m**2 wrt m.\nAnswer: -6233928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48a4 (base 12) to base 6.\nAnswer: 101524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((70\/1365*27)\/((-12)\/(-260)))\/(4\/(-6))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -1 - 19*q**2 - q + 20*q**2 + 2*q. Let p(b) = -13*b**3 - 2*b**2 - 2*b + 57. Let n(c) = -2*l(c) - p(c). Differentiate n(f) wrt f.\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*4\/(-24))\/((-49)\/(882\/24))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 116.4 + -169.55. Let a = -52 - f. What is a rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -13*v**3 - v**2 - 8*v + 13. Is p(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21*a**4*m**3 + 3*a**3*m**3 - 1026*a**3*m + 2077*a**2*m**3 + 4*a**2 + 8*a*m**3 wrt a.\nAnswer: 504*a*m**3 + 18*m**3 - 6156*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.45139 rounded to 2 decimal places?\nAnswer: -2.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1797 - 660. Suppose 0 = -15*i + n - 297. Calculate the highest common factor of i and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2912 = 19*s + 1525 + 1463 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -12, 4*w + 2*a = 3*a - 7. Let k be (-1)\/(-2) - 21\/(-6). Let n(m) = -12*m**3 - 1 + 2 - k*m**2 + 2*m**2 + 0. Determine n(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7425 and 6690145.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -68 - -72. Let v be (-3 - -3)\/(4\/(-1 + 5)). Let o(m) = m + 33. Let r be o(-13). Solve -p - u*p + r = v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 2\/15321?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 3*c + 76*c**2 + 1 + 0 - 5*c - 79*c**2 - 23*c**3. Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2311290 divided by 1098\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (8\/12)\/((-1)\/72*-3). Find the third derivative of -3*v**2 + a*v**6 + 411*v - 411*v wrt v.\nAnswer: 1920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 + 66*l**2 + 14*l + 928. Let t be j(-66). Let i = 0 - 1. Let p(g) = -1. Let h(a) = 1 - a - 3 - 1. Determine i*h(n) + t*p(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 24*j - 22 = -22*j, -5*t + 2*j = -31 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -25*w**3 - 50 + 3*w**2 - 5*w**3 - w**2 wrt w?\nAnswer: -90*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -2*m - 0*h, -3*h - 8 = 2*m. Suppose k = -v - 2, 5*k - 59*v - 5 = -61*v. Which is the nearest to -0.2?  (a) -1\/12  (b) k  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 6*r + 2. Let x be t(-2). Let u = x - -11. Put u, -5, -0.2 in decreasing order.\nAnswer: u, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -46, -39, -28, -13, 6?\n\"Answer: 2*m**2 + m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 + 300*w**2 - 276*w + 7525. Give d(-301).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/c**3)\/c*(c**7*c)\/c)\/(c\/c**(-2))**(-29) assuming c is positive.\nAnswer: c**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11215 + -4?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6986 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(364\/1391) + 17?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31.4739 - 159040?\nAnswer: -159071.4739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -38*u + 0 + 17*u + 2*u**2 + 2*u**2 + 20*u + 2. Let z(v) = -7*v**2 + 3*v - 3. Calculate -5*s(d) - 3*z(d).\nAnswer: d**2 - 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11287?\nAnswer: 11287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) - (sqrt(136)*-2 - sqrt(136))*4) + sqrt(136))\/(sqrt(648)*-2) + (-3*(-1*sqrt(102) + sqrt(102)) - sqrt(102))\/(4*sqrt(600)).\nAnswer: -289*sqrt(17)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 815\/(-1)*24\/(-60). Suppose -3*m = -15, 4*g + 3*m = m - h. What is the tens digit of 1 - (g + 12\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 21*g - 40*g + 21*g + 1. Let i be m(1). Let x(w) = -w**2 + 4*w - 1. Let j be x(i). Solve j*l = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36179 and 2691.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -113*g*k**3*x - 2*g*k**2*t*x - g*t*x - k**3 + 56*k*t*x + t*x with respect to g.\nAnswer: -113*k**3*x - 2*k**2*t*x - t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 231.1302 in 5, -2\/11, 0, 7, 2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/(-9 + 1 + (14 - 8)). Let k(o) be the first derivative of 32\/9*o - 3 - 8\/9*o**2 + 2\/27*o**m. Solve k(h) = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.98821?  (a) -4  (b) 5  (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 4:34 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 26 = -5*y, -3*y - 2*h + 132 = 114 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*y + 16*y = 3*l - 24, -5*l = -5*y. Suppose -g = -y, 2*s - 13 = 4*s - 3*g. What is the third smallest value in s, 0.4, 2, 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/269537 or 0?\nAnswer: -2\/269537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 4252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 582563 is divided by 3370?\nAnswer: 2923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 5 = 487*n - 489*n, -3*s = 4*n + 15. Solve -3*i + i + 6 = n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 5*t = 3253, -2435 = -b - 2*b - t. What is the greatest common divisor of 84 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 11:47 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1132)\/5 - (-3)\/(-5). Let z = 217 - 367. Let l = z - b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -7*n**3 + 3*n**2 - 8*n - 6. Let f = 14 + -8. Let l(y) = -8*y**3 + 3*y**2 - 9*y - 7. Let r(k) = f*l(k) - 7*m(k). Factor r(w).\nAnswer: w*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-216)\/2*(-852)\/1136.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 3 - (6 + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3645)*2 + -5 - (-3*sqrt(3645)*-3 + sqrt(3645)))*-5 + 1.\nAnswer: 26 + 1080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4698 - 2*x - 4698.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17655 is divided by 1764.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 144 + 21638?\nAnswer: 21783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + -1. Let r = 70877\/210 - 675\/2. Are c and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -5. Suppose r + 14 = u*m, -5*m + 4*r = -3*m - 8. Suppose m*n = 6*n + 12. Solve n*w = 3*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6074 and -133.\nAnswer: 807842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-73 - -65) + (1 - -8 - (4 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*x**2 - 4*x**2 + 2*x**2 - 7*x**2.\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 2\/7, 5.33, 2 in increasing order.\nAnswer: 2\/7, 0.5, 2, 5.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/(-1)*(-1)\/(-2). Suppose -2*t + 0*t = -5*m - 26, 0 = t + 2*m + 5. Sort y, t, 1.\nAnswer: 1, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 3521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + 1 - 1)*(1 + 0 + 2) + (-2 - 1 + 5)*(4*f - 2*f + f).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7156\/21 less than 342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7734931 rounded to the nearest 100000?\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + 5. Let w be (3\/(-9))\/((-2)\/b). Let h(c) = -4*c**2 + 2 + 2 + 3*c**w. Calculate h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2931129872?\nAnswer: 2, 11, 73, 228139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 5*g = -24, m + 2*g + 15 = -2*m. Let l = -14 + 10. Let x = l - -4.3. Which is the nearest to -1\/3?  (a) x  (b) m  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -24\/70995809 or 1?\nAnswer: -24\/70995809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -308127*a + 514951 with respect to a.\nAnswer: -308127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10534 and -0.3.\nAnswer: -3160.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 280*b**2 - 233*b.\nAnswer: 560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 - 4 = 23*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 0, g - 25 - 113 = -p. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1544807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 73.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vj when two letters picked without replacement from zzzjvnv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 39 = 4*c - 84, 3*c = 3*g + 81. Let o(h) = h**3 - 29*h**2 - 17*h - 62. What are the prime factors of o(c)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31118 divided by -106.\nAnswer: -15559\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 2 = 22. Suppose -40 = 38*c - 48*c. Solve 2*t = v*i - 18, 0*t + 2*t = -c*i - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43, -88, -147, -226, -331, -468, -643, -862?\nAnswer: -1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -346 + 346. Suppose -29*k + 15*k + 798 = q. Calculate the remainder when k is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51\/(-17)*9\/((-504)\/(-8))*(-169)\/39?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1931921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2349, -2318, -2229, -2052, -1757, -1314?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -890*t - 10 = -892*t. Solve -4*z = -5*z - t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1371137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 6 + 13*h + 6 - 5 - 10*h. Let u(q) = -8*q - 21. Let s(f) = -2*u(f) - 7*z(f). What are the prime factors of s(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -716 = -5*p + 5949. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/33)\/((-85)\/34). Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - a**2 - 2. Let p be u(0). What is the common denominator of (-434)\/132 + 1\/3 and 3108\/(-288) + 1\/((-3)\/p)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32 and 4184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 17762610 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/12)\/(2\/(-6)). Let t be 34\/4 - (-3)\/s. Let y = t + 1. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 4153758.21 minutes?\nAnswer: 412.0791875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*(-3)\/(-18)*68. Let n = x + 130. Let m = n - 1634\/17. What is the smallest value in -0.4, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 965116820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -20, -1, 0, -25, 2, 18, -22 in decreasing order.\nAnswer: 18, 2, 0, -1, -20, -22, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 529778423 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23*(-6)\/276*104\/2.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (535\/321)\/((-1365)\/63).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*f**2*j*t**2 + 21*f**2*j - 144*f**2*t**3 + 2*f*j*t**3 + f*j*t**2 wrt t.\nAnswer: -864*f**2 + 12*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -38, 8, -190 in descending order.\nAnswer: 8, 4, 3, -38, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6810839.\nAnswer: 7, 972977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (110\/45)\/((-88)\/(-792))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 81 + -155. Let j = x + 126. Let a = j - 52. Which is smaller: a or 11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -7*s + 9. Let m(l) = 5*l - 3. Let z(w) = -7*w + 4. Let n(g) = 3*m(g) + 2*z(g). Suppose -2*v + 3*c - 1 = 0, 2*c + 6 = v + 7. What is v*j(f) + 5*n(f)?\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 11310*b - 8629537. Give f(763).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40570 + 8*l + 40570.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 - 9*q - 10. Let a be u(-8). Let w = -8 + 14. Calculate the lowest common multiple of 0 + (3 - 1 - a) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-6*3*(-4 + (-2*5*sqrt(2057) - (-2 + 1*sqrt(2057)))))**2.\nAnswer: 156816*sqrt(17) + 80643924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77300, 77282, 77260, 77240, 77228, 77230?\nAnswer: 77252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l**5 - 1624*l**4 - 19*l**3 - 116154*l.\nAnswer: 40*l**3 - 19488*l**2 - 114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32786560 by -204916.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*d**4*k + 441456*d**3*k + d**3*v + 2*d**2*k*v + 2174440*d*k*v wrt d?\nAnswer: -96*d*k + 2648736*k + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 + -2. What is the lowest common multiple of y and 24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 - 6*u + 9. Let y = -11 - -17. Determine m(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -2*o + 9*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 2816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -703 + 702.433. Let o = 0.0451 + -0.6462. Let v = l - o. What is v rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 m when three letters picked without replacement from yylyyylmiltllmyml?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*z + 12 = 31*z + 5*n, -4*z + 8 = 4*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6581 a factor of 2392733142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1660080 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.72749 and 8.\nAnswer: 7.27251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -179*d*u**2 + 2*d - 1699*u**2 with respect to d.\nAnswer: -179*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.5, 2\/9, 2, -3, 1, 27.1 in increasing order.\nAnswer: -3, 0, 2\/9, 0.5, 1, 2, 27.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 53*106\/19663*49.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 221665 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-948)\/(-9)*(-45)\/(-4260)*71?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.6418 and 1.3?\nAnswer: 0.3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78847 is divided by 224?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 30576 and 324?\nAnswer: 825552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 33160 (base 11) in base 2?\nAnswer: 1011101111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9593 and 1238221.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2519 - -2575. Solve 13*j = 5*j - o for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s**24)\/(s\/(s\/(s*s\/(s\/s**(7\/5))))))\/(s**(-2\/27)*s*s**(-5\/2)) assuming s is positive.\nAnswer: s**(6797\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1852 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 198\/23 in 1, 3, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence esi when three letters picked without replacement from {e: 1, i: 1, s: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uauuuuauauu. Give prob of sequence aaau.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 8*a - 16 = 0. What is the units digit of (-1)\/a - (-18)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 + 7*j**2 + 3*j + 3. What is the units digit of q(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of -9*z**2\/2 - z - 1. Let j = -11 + 10. Is g(j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 224093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 divided by -1405?\nAnswer: -203\/1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -6812045346977 plus 0.054?\nAnswer: -6812045346976.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w + 16*w = 4*z - 64, 0 = -5*z + 3*w + 90. Which is the closest to -1?  (a) 2\/13  (b) z  (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u = 25 + 10. Which is the nearest to -4?  (a) -5  (b) 1\/6  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 3*m - 2*m + 2)*(9*m - 19*m - 13*m + (0 - 3 + 2)*(-2*m - 2*m + 5*m) + 0*m + 0*m - m)*(-2 + 0 + 0) to x*m + h*m**2 + n and give x.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -115*q - 343. Let v be r(-3). What is the closest to 3 in -1, 132, 1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -887 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 PM and 9:31 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(171) + sqrt(171)*1)*-5 + 1) + (6*-2*sqrt(171) - sqrt(171) - -3*sqrt(171)*-5) + 1 + -3)**2.\nAnswer: -60*sqrt(19) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -4*s - 20, -2*z + 5*s + 28 = 6*s. What is the highest common divisor of 84 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = w - 2*d - 1, 4*w - 4*d - 32 = 0. Suppose -342 = -2*k + 5*t - 4*t, w*t = 0. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9.11 - 9. Let o = y - 4.11. Suppose 2*f + 21 = -3*f + 4*g, 3*g = 2*f + 7. What is the third biggest value in -0.1, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 62, 46, 22, -10?\n\"Answer: -4*s**2 - 4*s + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27 and 18246?\nAnswer: 164214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 + 19*w**2 - 12*w - 6. Let v be y(-19). Suppose 0 = 4*d - 162 - v. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 865 divide 5283066215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 41.53677 minutes?\nAnswer: 0.6922795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -303 - -303. Let q = 29\/282 + 3\/47. Which is the smallest value?  (a) 4  (b) t  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-d - 3*d + 2*d)*(1 - 1 + 3) - 13*d - 11*d - 13*d to v + o*d and give o.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/((a\/(a*a**(-18)\/a))\/a))\/a*a*(a*a**(-5\/6))\/a*a\/a**(-30)*a*a**5 assuming a is positive.\nAnswer: a**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.33 - 0.23. Let p = -258690752 - -258690750.90000023. Let j = a + p. What is j rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of 263*t**6\/30 + 370*t**2 - 584*t. Differentiate c(y) wrt y.\nAnswer: 1052*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8775353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (11 - 8) - -11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 103 - (54 + 11 - 29) - (2 - (-1 - -13)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 28, 3, -8\/29 in increasing order.\nAnswer: -8\/29, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*z - 9. Suppose -1 = -q - f, -3*f - 12 = f. Factor 9*j**3 + 5*j**5 - 3*j**4 + 15 - z*j**2 - 39*j**3 - 2*j**q + 25*j.\nAnswer: 5*(j - 3)*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 + 3*q + 3. Let a(h) be the first derivative of -h**3\/3 - h**2 - 3*h + 3. Let x(v) = 6*a(v) + 4*k(v). Find the first derivative of x(r) wrt r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -3*a + 1920. What is a rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 6*b - 2. Let x(m) = 7*m - 3. Let c(y) = -6*q(y) + 5*x(y). Let p be c(-4). Let w(a) be the first derivative of -2*a**3\/3 + a + 2. What is w(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*k + 1263457 = 3892674. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16092, 16088, 16082, 16074?\nAnswer: 16064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + h**2 + h + 3. Let y be b(-3). Let z = y + 45. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*s + 4 + 17*s - 4 - 3*s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - -1078951?\nAnswer: 1078947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.7322433mm?\nAnswer: 0.0000007322433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 1 = 11. Let n be -1*(10 - 4)*-36 - 1. Let x = 221 - n. Solve f + h = x*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 4 = 0, 2*i + 0*i = -4*s + 4. Suppose 13*m - 14*m = 0. Solve 5*g + i*g + 20 = m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from uuuyyswwsupusyssppy.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange f**3 - 2 - 2*f + 4*f**4 - 5 + 7 to o + i*f + d*f**2 + y*f**4 + c*f**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -11112*f - 8. Let t(m) = -3*m + 9. Suppose -5*g = -4*w - 14, -g + 3*g - 32 = -5*w. Let d be t(g). Let j be x(d). Round j to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/(-360))\/(1\/12)*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 105 and 17045?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 10 = -10. Let h = a - -8. Calculate the highest common divisor of h and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2962336 and 416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + 6*b**2 - 6*b + 2. Let h be r(-7). Let j(n) = n**2 + 5*n - 3. Let q be j(h). What is the tens digit of 6*(3 + 3\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 7*c**2 + 4*c. Let y(t) = 6*t**2 + 5*t - 1. Give -3*k(l) + 2*y(l).\nAnswer: -9*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 4*o = -12. Let s be (o - 2)*11\/4. Is 2\/s + (-3468)\/(-44) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and -16340.\nAnswer: 3268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11977\/6 + 1996. Which is the closest to -1.3?  (a) 22  (b) k  (c) 0  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 252139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 68 and -10?\nAnswer: -680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*2\/(-28)*7. Suppose o + 21 = d*o. Let h(p) = 7*p**2 + 36*p + 5. What is the remainder when h(-6) is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 696*q**2 + 41566*q. Let g(s) = -2*s. Determine j(g(l)).\nAnswer: 2784*l**2 - 83132*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -14332 (base 5) to base 10\nAnswer: -1217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2593 + 3158.9. What is q rounded to the nearest ten?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6425841894.\nAnswer: 2, 3, 5107, 209707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 34*f - 1397. Let j be z(41). Which is the fifth biggest value?  (a) -0.5  (b) 2\/3  (c) 12.1  (d) j  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 17511?\nAnswer: 35022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18\/4 + 5\/(-10). Find the third derivative of 3*q**4 - 6*q**4 - q**2 + 2*q**b wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 1 = 1. Suppose 4*x = -2*j + 12, x - 3 = 2*j + 5. Let f be -1 - 3 - x\/((-12)\/9). Sort h, f, 3 in ascending order.\nAnswer: h, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 + 5*c - 6. Suppose 92*s = 91*s + 89. What is the remainder when s is divided by k(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (161 - 167 - (2 + -16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*0.018.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 16.5 - 16. Suppose v = -4*w, -2*w + 5*v = 2*v. Suppose -4*a + 2*i = 4, w = a - i + 5*i - 17. What is the biggest value in x, a, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 106\/37  (b) -3\/4  (c) 4354  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/3)\/((-6)\/(-9)). Let q = -19 - -28. Let s = k + q. Solve -f = -3*f + s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 + 28818697*u - 28818688*u + 12.\nAnswer: 9*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of -3*c**4\/4 - 51*c**2\/2 + 29. Find the second derivative of f(b) wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.8390542 years?\nAnswer: 0.008390542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 4*u)*(4*u**3 + 11*u**3 - 14*u**3) in the form c*u**4 + o*u + z + b*u**2 + n*u**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + b = 16, -a - 2*b + 1358 = 1351 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from glwwgwaglwww. Give prob of picking 3 g and 1 a.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of -9*x**7\/280 - 873*x**6\/160 - 1721*x**5\/80 - 1047*x**4\/32 - 95*x**3\/4 + 82*x**2 + 3*x. Solve f(m) = 0 for m.\nAnswer: -95, -1, -2\/3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -157676823 divided by -5.\nAnswer: 157676823\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66\/(-7843)*(-54188)\/(-5244)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-5)\/f*f)\/f**(-3\/4)*f*f*f\/(f*f*f\/(f*f**(-3\/2)\/f*f)*f*f)*f\/(((f*f**(-1\/11)*f)\/f)\/f*f) assuming f is positive.\nAnswer: f**(-293\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -96 - -105. Suppose 198 = 3*b - 2*j, -7*b + r*b - 4*j - 140 = 0. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-6))\/(((-1065)\/1350)\/(-71)*-3)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1130, 1131, 1132, 1133, 1134, 1135?\n\"Answer: h + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 452993*d**2 + 1928*d**4 - 452993*d**2 + (0*d**2 - 3*d**3 + 0*d**2)*(-2*d + 6*d - 3*d)*(-5 + 0 + 2).\nAnswer: 1937*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w - w + 6*w + (2*w - w + 0*w)*(-3 + 1 + 0) - w + w - w + 0*w + 2*w + 0*w - 7*w + 2*w + 0*w + (-2*w - w + 5*w)*(1 - 1 + 2) - 2*w + 4*w + 4*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4468301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/2*(-7)\/(-14). Let t = 141.93 + -142. Which is the closest to p?  (a) t  (b) 0.1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17 and 1675607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101675 is divided by 6354?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -324\/295  (c) -323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.65 and -2.483?\nAnswer: 4.09695","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*t = 41*t + 20. Let z(x) = -x**2 - 13*x + 23. What is the remainder when 100 is divided by z(t)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5235 (base 8) to base 5.\nAnswer: 41332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 - x. Let m(l) = -3*l**2 - 21*l + 24. Let y(h) = m(h) - 4*q(h). Let u be y(14). Let t = 20 + -19. What is the nearest to 0.1 in -2\/3, u, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -916, -1390, -2658, -5110, -9136, -15126, -23470?\n\"Answer: -65*j**3 - 7*j**2 + 2*j - 846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of 0*g**2 - 48*g - 40 + 1\/2*g**3. Let o(f) be the first derivative of c(f). Calculate o(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*c**5 - 52*c**4 + 16*c**3 + 432*c**2 - 576*c = 0. Calculate c.\nAnswer: -3, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ihheiih. What is prob of picking 1 e and 2 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -13*h + 94. Let x(l) = 7*l - 48. Calculate 11*x(n) + 6*y(n).\nAnswer: -n + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.5 + -1. Let t = -3.74 - 35.06. Let l = -39 - t. What is the nearest to l in a, -0.3, -5\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8.1 times -0.3\nAnswer: -2.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 788\/19 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 276005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) + (sqrt(136) + -1*sqrt(136) - sqrt(136)) + sqrt(136))*-4)*2)\/(-6*sqrt(8)*5*6).\nAnswer: sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 9*z - 60. Suppose 0 = -2*f + 3*f - 2*y - 701, -4*f - z*y + 2739 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -734, -728, -698, -632, -518, -344, -98?\n\"Answer: 2*m**3 - 8*m - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 489, 491, 501, 525, 569, 639?\n\"Answer: x**3 - 2*x**2 + x + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22 - 40. Let p be 27\/d*(0 + 16\/(-6)). What is the second derivative of -15*n - 9*n**2 - 6*n**3 + 9*n**2 - p*n**3 wrt n?\nAnswer: -60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 + 25.00000055. Round v to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 + 11*m**2 + 27*m + 19. Calculate the remainder when 154 is divided by k(13).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 6) + (-241 + 255 - (-1 + 8)) - 46.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*q + 10*q - 28*q + 4*q + 12*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 661721 < 473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 17732, 17735, 17738, 17741, 17744, 17747?\n\"Answer: 3*h + 17729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -5*l + 23, -l + 4*l - 5*a - 10 = 0. Solve 3*d = -k + l*d, d = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5397 - 6*g - 5399 - 3*g)*(2 - 1 + 0).\nAnswer: -9*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 9, a: 10}. What is prob of picking 3 o?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7261501*0.3.\nAnswer: 2178450.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 66, -0.3786, 3, 1 in descending order.\nAnswer: 66, 3, 1, -0.3786, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.86 - -55.86. Let k = 58.3 - 112.3. Let u = k + b. Is u at least -80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5\/42 - -3\/14. Let q = -0.1 + 0.2. Which is the closest to q?  (a) 1  (b) r  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1140 divided by 117074\nAnswer: 570\/58537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 1, -4, -318, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 43*t - 41*t. Put t, -10, 1 in ascending order.\nAnswer: -10, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(2440\/1281))\/((-1)\/(-2))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (108\/312)\/(3\/20). Let b be 29\/9 - 2\/9. Is k less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t**4\/4 + 67*t**3\/4 - 19*t**2\/4 - 7107*t\/4 - 1755 = 0.\nAnswer: -9, -1, 12, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g + 1. Let a be r(8). Let i be (44\/(-22))\/((-3)\/(3*5)). Suppose -i*o + 18 = -a*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4213021 (base 5) to base 15.\nAnswer: 15a0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x**2. Let o(w) = 180*w**2 - 4. Determine o(d(i)).\nAnswer: 720*i**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -2*o - o + 4*x, 4*o + 2*x - 32 = 0. Let z(m) = 2*m - 8. Let c be z(o). Suppose 3*p = c*p - 165. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13 - -16. Suppose 0 = -3*a - x - 0*x + h, -5*a - 4*x - 2 = 0. Suppose a*v = 435 + 583. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/8  (b) -0.3  (c) 4  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-17) + (1905\/(-425) - -5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4049, -7889, -11275, -13979, -15773?\nAnswer: -16429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 7*t**2 - 7*t - 11. Let a be f(6). Let s = a + 183. Suppose -3*b = 4*o - s, 0 = -b - 5*o + o + 26. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + -6 - -6) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of 2*m**6\/15 - 9*m**2\/2 + 8*m + 10. Let w(x) be the first derivative of l(x). What is the first derivative of w(o) wrt o?\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4690234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 0.295?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 446979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 7*h**3 + 8*h**2 + 3*h - 15. Let j be i(7). Let k be j\/(-207)*(-45)\/294. Let o = k + 2\/1127. Find the common denominator of -149\/6 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 51.91146 months?\nAnswer: 0.004325955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.225 + -15.875. Let o = 16 + t. Sort -0.4, o, 2.\nAnswer: -0.4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 10 = -2*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*r**5 + 1481466*r**4 + 3*r**3 - 19875865*r**2 wrt r.\nAnswer: 120*r**2 + 35555184*r + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uoduoououuoaoudhouu. What is prob of sequence ouoa?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3*10\/18 + 3008\/48. What is the highest common divisor of 3233 and f?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7273 divided by 1278\nAnswer: 7273\/1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*p + 40 = -182 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-8)\/(-450))\/(3\/(-594)*3) and -62\/25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(567)*-1)**2 + 2*(1 + sqrt(567) - sqrt(567))**2.\nAnswer: 54*sqrt(7) + 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + -2. Let w = 0.015 + 3.985. Which is the biggest value?  (a) i  (b) w  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*n**4\/7 - 162*n**2\/7 - 324*n\/7 = 0. What is n?\nAnswer: -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 10\/14)\/(243018\/(-36981)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4796357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9040 + 63278\/7. Let h = -0.16 + 0.16. Let r be (3\/(-9))\/(16\/(-12)). What is the closest to r in -2, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -19*j - 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2)*-1 + -5 + sqrt(2) + (sqrt(2) - ((sqrt(24) + sqrt(216))\/sqrt(12) + sqrt(2))) - (sqrt(20)\/(sqrt(10) + sqrt(10)*1) + 3*sqrt(2)*2))**2.\nAnswer: 105*sqrt(2) + 491\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 3*p - 27 = 0, -3*q + p = 2*p - 11. Let u(n) = 0*n + q + 5*n**2 + 2*n**2 + n**3 + 0*n**3 + 10*n. List the prime factors of u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75292.3019 rounded to the nearest one thousand?\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 406634.\nAnswer: 2, 203317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14 + 21?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 4*o + 34. Suppose u + 110 = 6*u. Let v = u + o. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 2*k - 16, -6*x + 4*x - 4 = -2*k. What is the hundreds digit of (x + 14\/(-4)*-2)*107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -74 at least -2294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*h**5 - 4*h**4 - 23092*h**2 + 10254557*h?\nAnswer: 140*h**3 - 48*h**2 - 46184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/8 + (-3)\/4. Let o(i) be the second derivative of 0*i**3 + l + 1\/6*i**4 - 3*i + 0*i**2. Let d(f) = -2*f. What is o(d(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 - 23*s**2 - 92*s - 7. Let g be c(-5). Determine i, given that -12\/5*i**2 + 4\/5*i**4 + 4*i - 8\/5 - 4\/5*i**g = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 25*g**4 + 40*g**3 + 5*g**2 - 10*g.\nAnswer: 5*g*(g + 1)**2*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*s - 32*s = -30682. Which is smaller: 666 or s?\nAnswer: 666","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away 715081440755?\nAnswer: -715081440754.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/13633 or 386?\nAnswer: -2\/13633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -442*g + 516. What is the least common multiple of 6 and j(-3)?\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 17, -1 in ascending order.\nAnswer: -3, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 + 8*d**2 - 5*d - 2. Let u be j(7). Let s be (u\/(-10))\/(9\/30). Let w = 5 + s. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181381 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*a + 1 - 1)*(-a**2 - 2*a**2 + 2*a**2) + 2*a**3 + a - a)*(63*a**2 - 34*a**2 + 34*a**2).\nAnswer: -63*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -63 + 63.4. Which is the second smallest value?  (a) -1  (b) j  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 691 + 254 = 35*b. Calculate the remainder when 502 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115003.1209 rounded to the nearest 10?\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 4:28 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 66 - 470?\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 2305*u + 9 = 2304*u, 21 = -2*y - 5*u. Let b = 0.03 + -2.03. Put b, y, 4 in decreasing order.\nAnswer: 4, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6959371 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 11, -14, -59, -124, -209, -314, -439?\n\"Answer: -10*i**2 + 5*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 438638, 1754550, 3947730, 7018178, 10965894, 15790878?\nAnswer: 21493130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 895197 at least as big as 895106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - 2*c**2 - c + 4. Let m be i(0). Let n(k) = -m*k + 3*k**2 - 1 + 0*k + 3*k - 4*k**2. Give n(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1269, -4951, -11051, -19569, -30505, -43859, -59631?\n\"Answer: -1209*t**2 - 55*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -209, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.07 and -0.68041.\nAnswer: -0.0476287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v - 3*v - v)*(-1 + 0 + 0) + 7*v + 16*v - 10*v + 434*v - 271*v - 357*v.\nAnswer: -180*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m + 5. Let a be u(0). Let x be a\/((-20)\/(-96)*4). Suppose -3*p - 192 = -3*k, x*k = 3*k + p + 182. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(-2 + 1)*(-3 + -42). What is the greatest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2394061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/36)\/((-1)\/(-4)). Let h = 3.9 - 2.2. Let y = h + -1.9. What is the smallest value in y, -3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 PM and 4:18 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = q - 412, 4*q + 640 = 3*b - 0*b. Let g = b - 89. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -3*n**3 - 2*n - 26. Does 6 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -3*f**2 - 4*f - 8. Let i(s) = -2*s**2 - 2*s - 6. Let m(g) = -4*i(g) + 3*n(g). Let h(b) = -8*b. What is m(h(j))?\nAnswer: -64*j**2 + 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 - 11*t - 37. Let g be c(-11). What is the common denominator of (0 + -4)*g\/1804 and -95\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19.4 - -2.4. Let c = q - -53. Let v = c + -35.99999945. Round v to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 3*b**3 - 16*b**2 + 29*b + 2. Determine z(6).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 AM and 7:53 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**2 - 15*l + 14. Let f be w(9). Which is the second smallest value?  (a) 0.4  (b) -4  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 + 5 = 4*k. Let r = -5 - k. Suppose r*g = -g + 148. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 374 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.51 + -0.11. Let n = -477 - -492. Which is the biggest value?  (a) k  (b) 2\/3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2907*y - 2721*y = 10416 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**4 + 3*r + 8. Let j(z) = 2*z + 7. Let g(k) = 3*j(k) - 2*o(k). What is the derivative of g(p) wrt p?\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 120*p - 5411 - 6949. Calculate the remainder when p is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 83 - 75. Suppose 0 = u*z - 7*z - 2. Suppose -7*i + z*i = -520. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6104 - 15?\nAnswer: -6119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 686319703.\nAnswer: 686319703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 40 - -45e18d?\nAnswer: 45e1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 121 + -113. Suppose 47 = -i*n + 31. Let w = -23 + 34. Which is greater: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3236 divided by -1618\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, 2, 1.42, 0.2, -1 in descending order.\nAnswer: 2, 1.42, 0.2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -z**3\/3 + 356*z**2\/3 + 1599*z = 0.\nAnswer: -13, 0, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -112 - -112.1. Let o be 15\/4 - (-1)\/4. Suppose 8*b - o*b - 4 = 0. Put b, 4, c in increasing order.\nAnswer: c, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*x**4 + 65 - 127*x**2 + 2*x**3 + 2*x - 33*x**4 - 65 + x**3 as c*x**4 + o*x**2 + a*x + g*x**3 + b and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5604, 5654, 5706, 5760, 5816, 5874?\nAnswer: 5934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 71775 and 29475.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1855\/28 - (-3)\/(-12).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 - u. Let f(v) = -6*v**3 - 11*v. Let q = -1091 - -1089. Determine q*f(j) + 22*c(j).\nAnswer: -10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -16.850438 and 5.\nAnswer: -84.25219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from strvu. What is prob of sequence us?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 82583435 divided by -34919\nAnswer: -2365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 + 3. Let o be f(-3). Let i = o - -3. What is the remainder when 43 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 235, 607, 1117, 1765, 2551, 3475, 4537?\n\"Answer: 69*t**2 + 165*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by (19\/(-76))\/((-1)\/124).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2446*b**2 + 1606*b wrt b?\nAnswer: -4892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 371*n + 129093. Calculate r(-348).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 16*v**2 + 5*v - 12. Let m(s) = s + 28. Let j be m(-12). Let f be w(j). Suppose -p = 4*o - 237, -o - 4*p = 20 - f. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 129934266473 and 0.1?\nAnswer: 129934266472.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of -u + 446. Let y(c) = -c**2 - 2*c + 3. Give -5*g(f) - y(f).\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.03 * 69734\nAnswer: 2092.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -894 + 444 - d + 5*d - 3*d + 450. Let b(w) = -4 + 6*w**2 + w**2 - 17. Calculate t(b(g)).\nAnswer: 7*g**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 458 and 2359.\nAnswer: 1080422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y**2 - y**2 - 1450677 + 1467234.\nAnswer: -y**2 + 16557","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 3*c - 23. Let t be z(14). Suppose t = 6*u - 5. What is the second derivative of r**u + 21*r + 15*r + 7*r - 24*r wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 8 = 0, -3*s - 2*p = -s - 20. Let b(q) = -q + 8*q**2 + 7 + 6*q + 6*q + 2*q**2 - q**3. What is the remainder when s is divided by b(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*-6*2\/36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -1\/2  (c) -0.246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a - 3*p - 232, 3*a + 140 = -p - p. Let q be 331320008\/a - (-4)\/22. What is q rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 9, t: 1, r: 1}. What is prob of picking 1 w and 1 t?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -116 + 150. Suppose -11*z = -54 - w. Solve z*b + 4 = 9*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7e7211 (base 15) in base 12?\nAnswer: 203832a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1214?  (a) 0.1  (b) -2\/9  (c) 1\/410\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 2*q**2 + 2*q + 1. Suppose 23 + 13 = 2*z. Let d(o) = o + 18. Let g be d(0). Suppose -4*x - 2*b + z = 0, 3*b - g = -2*x - b. Give s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41 - 38. Suppose y - 1 = j. Sort 3, 1, j.\nAnswer: 1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 - -5)\/(110\/44). Suppose 3*w = -9, d*w + 2 = -5*q + 6. Let s be q\/20*5*-8. Which is smaller: -9\/2 or s?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -5*r + r + 5*r + r - 5 - 4*r. Give b(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(-1075)\/75*-1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13081610879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -50688, -50686, -50684?\n\"Answer: 2*i - 50690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 25*w**2 - 10*w. Let b(s) = -13*s**2 + 6*s - 1. Give 5*b(l) + 3*o(l).\nAnswer: 10*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**3\/6 - 5*p**2\/6 + 7913*p\/6 + 2639\/2 = 0.\nAnswer: -91, -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 104.3295l?\nAnswer: 104329.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22\/13 - 180\/91. Put 3, -5, y, 0.4 in descending order.\nAnswer: 3, 0.4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -35 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 10*j + 63. Let w(s) = -22*s - 125. Determine 9*n(k) + 4*w(k).\nAnswer: 2*k + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(4\/9))**(3\/31)\/(y*y\/(y\/y**(4\/7)))**(-1\/39) assuming y is positive.\nAnswer: y**(235\/2821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmmmmpmmmmmmpmmmp. What is prob of picking 1 m and 1 p?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 108534.23298 rounded to the nearest 10?\nAnswer: 108530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7744 + 7756. Solve -190*j + 184*j = -u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 106\/1526294*121*-7?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5142 - 2988. Suppose 10*m - 4*m - k = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6650, -6653, -6656, -6659?\nAnswer: -6662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1085 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bh when two letters picked without replacement from {b: 3, l: 5, h: 8}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.3 + 10. Let r = z - 4.7000152. What is r rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 845 is divided by 93?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.05201 + 0.055193. What is l rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 8*z**2 + 216*z - 38. List the prime factors of d(17).\nAnswer: 2, 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 213 + 229. Suppose 4*c - 5*h + 20 = c, 2*c - 4*h + l = 0. Solve -5*i + x = -14, c*x + 10 = i - 2*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -723, -1456, -2207, -2976?\n\"Answer: -9*v**2 - 706*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**2 + 9*f - 5. Suppose 6*u + 2*u - 968 = 0. Let x = -113 + u. What is p(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + -7. What is the units digit of (2\/(-6))\/(x\/54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4825825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 123 - -5?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -7*v**2 + 581*v - 2754. Determine o(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4335 and 7803?\nAnswer: 39015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2*i. Suppose -50 + 176 = -3*t - 3*z, -t + 2*z = 54. Let u be -5 - (1 + -3) - t. Let p(m) = u*m - 25 - 85*m + 44*m. Determine x(p(h)).\nAnswer: -4*h + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 5*t**2 + 6*t - 6. Let y be h(4). Let d be 14 + -15 + (-2 - -4) + 21. Suppose d*l = 19*l + 84. Solve x = 5*c - l, -y*x = c - 3*c + 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.5, 10, 2 in ascending order.\nAnswer: 0.5, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 88.2, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-48*g**2 + 721*g - 721*g)*(7 - 3 - 1) as c*g**2 + j*g + q and give c.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*j + 36 = -62*c, -2*j = j - 4*c - 60 + 48 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 3*f + 50. Let c = -11 - -21. What is the greatest common factor of c and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -3*u + 10. Let d be 8\/(-5)*(-45)\/u. Let b = 6 - d. Solve f + b + 1 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -70, -139, -208, -277, -346, -415?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (42\/9)\/(4\/12). Suppose s = -7*a + 21. Put -5, -1, a, 0 in increasing order.\nAnswer: -5, -1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25879 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 6, -4, 153?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (9 - 0)*1\/3. Suppose 4 = -f + m*f. Solve -i = i + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -3*q + 3*q - q**2. Let m = 131 - 124. Let w(k) = 7*k + 10*k**2 - m*k - 13*k**2. What is y(w(z))?\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111\/(-24) + 5 + 114221*3\/24?\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -7215?\nAnswer: -721.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -3653*l - 222846. Give n(-61).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tppb when four letters picked without replacement from ppbyhhhhnbtbh?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1776)\/(-777))\/((-2)\/7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, u: 1, g: 2, s: 1, k: 3, n: 3}. Give prob of picking 1 g and 2 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1096 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7362 is divided by 419.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9543648 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20878 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 + 19. Let h be 55\/(-35) + t + 4. Let m = 64\/3 + -21. Which is the biggest value?  (a) m  (b) -2  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -219427 + 394580. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -99 in 0, 0.68, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 10) + 0 + (26 - (-10 + 27))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32920, -130503, -293154, -520867, -813636?\nAnswer: -1171455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y**(-10)\/y)\/y*y)\/y)\/y)\/(y**(-4\/5)\/y)*y**6\/((y*(y*(y\/y**(1\/3))\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 86.987 - 87. Let n = s + -0.487. What is the closest to n in 5, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 1)*(-b - 2*b + 4*b) - 14*b + 16*b + 7*b.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 220.102 + -0.102. Let g = -219.92 + t. Which is greater: g or -1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -117 + 119. What is the second smallest value in -2\/11, s, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5254026473 to the power of 1\/3, to the nearest integer?\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 354744, 1418936, 3192588, 5675700, 8868272, 12770304, 17381796?\nAnswer: 22702748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - 4*c + 3*c)*(-2*c**2 - 2*c**2 + 5*c**2) + (-c + 4*c - 4*c)*(13*c**2 + 14*c**2 - 4*c**2).\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjx when three letters picked without replacement from jxjxjyxjxyj.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -7\/16 + 291\/80. Let p be (-450)\/(-21) + -2 + (-92)\/(-161). What is the common denominator of (4355\/(-2820) + p\/12)*-4 and u?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(110) - -1*sqrt(110))\/sqrt(10))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 4) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + -32 - (-2 - 0). Is k not equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 945\/42*(-4)\/(-10). Calculate the remainder when -5 - -1 - 33*(-6)\/s is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3865.77003 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 78 + (7 - 18).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -5*m - 3*q + 6315, 4*m - 5019 = -3*q. List the prime factors of m.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -90, -3, -10, 0 in increasing order.\nAnswer: -90, -10, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 2*d**2 + 27*d - 508. Calculate the remainder when u(13) is divided by ((-4)\/(-12) - 0) + 167\/3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/1264 and (63 - 0)*((-1)\/(4\/(-29)) - 7).\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*a**2 - a + 14*a**2 + 5*a wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 7\/8 of a millisecond?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 224, 132, -70, -436, -1020?\nAnswer: -1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 79930429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -31 + 24 - 6*(2 + -3) - -1. Solve 1 = 3*l + 2*u, y = -3*u - 154 + 142 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 405645410*z**4 - 151495058*z**2 wrt z?\nAnswer: 9735489840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -10*q**3 + 6*q**2 - 6*q + 9. Let y(i) = i**3 + i**2 - i - 1. Let v(n) = -d(n) + 6*y(n). What is the first derivative of v(p) wrt p?\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 80*s**2 - 223*s**2 + 75*s**2 - 2 + 73*s**2.\nAnswer: 5*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-96)\/432 - 7582\/(-18). Let z = -941\/2 + m. Let r = 503\/44 - 57\/11. Find the common denominator of z and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8132*n - 14399 + 142322 = -17251 - 171974 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -1888*y - 560734. Determine u(-297).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 655 divide 738662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3491?  (a) 1  (b) 5  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/256 and 87\/1792?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, t: 1, i: 1, h: 1, n: 2, j: 1}. What is prob of sequence tj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of g**4\/2 + g**3\/3 + g**2\/2 - g + 1. Suppose -4 = -4*x - 2*a, -4*a = -3*x + 4*x - 1. What is s(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -33 + 61. Calculate the remainder when 54 is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2\/5 - 4\/5*g**2 + 2\/5*g**3 - 1\/5*g + 2\/5*g**4 - 1\/5*g**5 = 0. What is g?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 3)*(-c + 2*c - 2*c) + 0*c - 2*c + c - 3 + 3 - 5*c + 4*c - 6*c + c - 3.\nAnswer: -9*c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -357.99756 - -358. Let a = -0.076 - -0.08. Let l = b - a. What is l rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78051454 divided by 2993?\nAnswer: 26078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -340c - 1?\nAnswer: -3410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/2 - 8\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -21.046?  (a) -27  (b) 0.2  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -150 - -142 - (-1 - 4 - (0 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -380, -342, 488, 2506, 6108, 11690, 19648?\n\"Answer: 66*l**3 - 424*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of 55*b**4\/12 - 8*b + 35. Let w(n) = 1822*n + n**2 - 1822*n. Give w(q(z)).\nAnswer: 3025*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 5 + 2 = 802*n - 797*n, 0 = -x - n + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*(-16)\/(-80) + (-304)\/5)\/(9\/9)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 13 + -1 + (-20 + -20 - -27) - -51\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, n: 10}. Give prob of picking 4 n.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.08571 and 252.05.\nAnswer: 251.96429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 4*w + 10 = 0, g + 10 = w + 3. Let i(q) = -q**3 - 6*q**2 + q + 5. Let z be i(-6). Put z, 5, g in descending order.\nAnswer: 5, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*6*(-1 + sqrt(396)*2*3)**2.\nAnswer: -256626 + 1296*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 81434677?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqzgbgglgqzzqgggbq. What is prob of picking 1 l and 1 z?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7.500392 + -7.5. Round h to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 4*f + 5. Let b(j) = -3 - 4*j - 5*j - 7. Let k(o) = -4*b(o) - 10*m(o). Is k(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96 divided by -96.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-299)\/273 - 6\/(-14). Let d = -0.2 + 0.2. Let f = d + 5. What is the nearest to 1\/4 in f, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -46*b**2 - 59*b**2 + 64 + 6*b - 39 + 65 + 90*b**2 wrt b.\nAnswer: -30*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5104279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 0. Let j(i) = -i**x + i**2 - i**2. Let r(v) = v**3 - 3*v**2. Let d be (2\/(-4) + 2)*-2. Determine d*j(p) + r(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66*o - 21*o - 3*o - 48*o - 9*o.\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -95a (base 11) to base 15\nAnswer: -51e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 3*v + 24. Solve -3*m = -v + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100110 + 1?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k**2 - 3*k**2 + 8*k**2)*(12*k + 10*k + 27*k) + 0*k**3 + 2*k**3 - k**3 + (-5*k**2 + 4*k**2 + 3*k**2)*(-k + 0 + 0).\nAnswer: 97*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3249650 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 - 14*i + 18. Let s be r(13). Which is the fourth smallest value?  (a) s  (b) 1\/3  (c) 2\/3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8983607 - -0.3.\nAnswer: -8983606.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 182 - 187. Let v(f) = -3*f + 2. Let o(d) = -3 + 10*d - 6*d + 0. Let g(k) = 4*o(k) + 5*v(k). Determine g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 309018 and 68.\nAnswer: 10506612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44424 = 8088*z - 473088 for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 45*d - 3*d - 425522 - 923812. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3 and 540698.\nAnswer: 1622094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-19)*(-2)\/(-4)*(-585)\/((-99840)\/512)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - -9 - (-1 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1935 - 1920. Solve -4*y - f = -15 - 0, y + 4*f = -j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.19, -5, 2\/5, 8, -22\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-308)\/(-1540))\/(1\/10). Let j = 27\/14 + -10\/7. Put r, 0.3, j in increasing order.\nAnswer: 0.3, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((2 - 2)\/(-2))\/(-3). Suppose 4*w + 8*n - 69 = 3*n, h = 4*n + 12. Suppose -j + 4*j - 2*s = w, 0 = -3*s. What is the remainder when 12 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(2) + sqrt(8)\/sqrt(4))*1.\nAnswer: -5 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 235154 - -3?\nAnswer: 235201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41\/((-1599)\/(-104)) - 35\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5aa + 145?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of m**3*w + 48*m**2*w**2 - 78*w**2 + 2 wrt m?\nAnswer: 3*m**2*w + 96*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 7, 4, -2, 3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 812 or 5678\/7?\nAnswer: 812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x + 1. Let z be o(0). Let f be z\/((-1)\/(-52)) - -2. Suppose -f = c - 4*c. What is the least common multiple of 20 and c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-11) - (-11760)\/(-1617)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 933580 rounded to the nearest 10000?\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*k - 50. Let u = -133 - -144. Suppose -u*c + 31 = -2. Solve m = -c*m + 4*g + k, -g = -3*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-6)*(-3)\/(-405)*-2\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*c**2 - 11453345*c - 11453350.\nAnswer: 5*(c - 2290670)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 8) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 26*b**2 + 5 - 2*b**2 - b + 12 - 14*b**2 + 3*b in the form a + m*b**2 + p*b and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 2:54 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oioii. Give prob of sequence io.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3304053601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 10*g - w - 115 = 0, 2*g - 4*w = 40. Solve 0 = 4*m + 6*f - 4*f - 2, -5*m = -4*f + g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/13)*v*v**(-9\/5)*v*v)\/((v\/(v\/(v\/(v\/(v**3*v*v)))))\/v)**(-24) assuming v is positive.\nAnswer: v**(6323\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 12:31 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -32.4747\nAnswer: -64.9494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*p = 88*p + 83*p + 1156 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -0.115271.\nAnswer: 0.230542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 34, 1, 3, 0 in decreasing order.\nAnswer: 34, 3, 1, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/4)*x**8)**(-2)*(((x\/(x\/(x*x**4)*x)*x)\/x)\/x)\/x**(1\/3)*x**(-2\/5)\/x*x*x\/((x\/x**(2\/5))\/x) assuming x is positive.\nAnswer: x**(-83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -5*t + 45 + 10, -4*c + 70 = 5*t. Let i = -12 - -27. Calculate the highest common factor of c and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 18 = -2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1043*f + 540*f - 624 = -529*f for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v - 8. Let m be z(-10). Suppose -m*r = -0*r - 8. Suppose 25 = r*u + 9. Solve 0 = 4*i + 2*x - 14, -u*i = 4*x + 7 - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.5 + 3.5. Let t = -10 + 7. Let p = 3 - 2.7. Put t, q, p in descending order.\nAnswer: q, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1250 and 17080000.\nAnswer: 17080000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 0 - 4)*(0 - 2 + 0) + 1 + 3 - 3 + 5 - 3 + 0 + 2 + 2 - 6 - 1 - 2 + 0)*(6 - 6 + 5)*(-67 - 56 + 17)*(i - 3*i + 4*i)*(2*i - 3 + 3).\nAnswer: -4240*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -22043 (base 5) to base 3\nAnswer: -2002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - -7 - -21 - 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of 0*v**2 + 0*v**3 + 6*v + 0 + 1\/6*v**4. Let q(u) = u. Calculate q(f(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (53 - 14) + -38 - (-1 - 14).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.2772 + 0.0783. Round n to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 4722432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/7)*x**(-1\/3)*x\/(x**1\/x)*x\/((x*x**(-2\/15)*x)\/x))**1 assuming x is positive.\nAnswer: x**(33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-384)\/6)\/32)\/(4*(-9)\/792)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-120)\/(-12)*1 + -10. Solve 15*r + 389 - 344 = u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the first derivative of -289*h**3\/18 - 17*h**2\/3 - 2*h\/3 + 64. Determine z so that k(z) = 0.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2739, -6414, -10089?\nAnswer: -13764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + 6. Let q be 1 + -1 + r\/(-5). Suppose -5*u + 4*u + 11 = q. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-2\/9))**(-2\/5) assuming s is positive.\nAnswer: s**(-22\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g**3 - g + 1. Suppose 0 = -12*q + 9*q + 39. Suppose 2*u - 10 = -4*b, 0 = 4*u - 7 - q. Give p(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 162 - 157. Suppose -d*l = -5*q + 1410, 5*l = -q - 1236 - 162. Is l < -280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 AM and 4:18 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/(-6))\/(4*(-5)\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-503)\/(-12072))\/((-2)\/(-8))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 18 = -4*p. Solve 0 = -y + 6*y - p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.7  (b) -9377  (c) -2\/21  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, b: 4, u: 11}. What is prob of sequence ba?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 594740 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c + 3*c - 2*c**2)*(-8 + 8 - 2*c + 0 - 3*c + 0 + (0 + 0 - c)*(-1 + 0 + 2)) - 28*c + 27*c - 4*c**3 - 2*c**3.\nAnswer: 6*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 191799255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 5*z**2 - 2*z + 1. Let w(a) = -4*a**2 + 2*a - 1. Let i(q) = 5*o(q) + 6*w(q). Let l be i(-3). Sort l, 5, 1 in descending order.\nAnswer: 5, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -n + 4*n. Let m = 10 - 6. Suppose 2*l + 104 = 4*s - 214, -m*s + 322 = 2*l. What is the greatest common factor of n and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 65 + -65. Solve -3*p + h*p = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.730702ml to litres.\nAnswer: 0.009730702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 + 0)*(-712*p + 420*p + 353*p).\nAnswer: 183*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -423*k**4 + 10*k**2 + 8?\nAnswer: -10152*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1417 or -26898\/19?\nAnswer: -1417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 135976 and 22775980.\nAnswer: 45551960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -40, -97, -200, -355, -568, -845, -1192?\n\"Answer: -q**3 - 17*q**2 + q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -1, 0.19, 1?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 1066 = 1098. Let p(i) = i**3 + 9*i**2 + 11*i + 27. Determine p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 100, 2, -0.4, 5, -3\/2 in decreasing order.\nAnswer: 100, 5, 2, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 26576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**3 + 41*t**2 - 221*t + 4060. What is o(38)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the second derivative of c**3\/3 + 9*c**2\/2 - 2*c + 44. What is y(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-4 + 6 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -66 + 79 + -74 + 14.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of 11*v**2 - 59*v + 25. Is c(24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1734835 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/106 and 109\/250902.\nAnswer: 250902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -14*g + 109. Suppose -399 + 364 = -5*n. Let y be c(n). What is the highest common divisor of y and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, 4332, 0, 6, 4, -3 in descending order.\nAnswer: 4332, 38, 6, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}