{"text":"Question: Which is smaller: 44107 or 3219771\/73?\nAnswer: 3219771\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 495 and 78309?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*w**3 - w**3 - 5*w**3 + (w - 3*w + 0*w)*(0*w**2 - 5*w**2 + 3*w**2))*(0*w + 3*w + 2*w) to the form f*w + k*w**4 + v + u*w**2 + a*w**3 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1017\/46 in 0.1, 5, 4, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s*s*s\/s**(-18))\/s*s**(4\/15))\/(s*s\/s**5)**42 assuming s is positive.\nAnswer: s**(2224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 146981863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -44185 or -44190?\nAnswer: -44185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2 + -22*(-2 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 915 and 10002414.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -3930.\nAnswer: 2\/1965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9256158?\nAnswer: 2, 3, 233, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 (base 4) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 3*n + 225. Does 22 divide ((-6)\/8*2)\/(n\/12400)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 9*x + 35 + 35 - 6*x. Let m be v(-22). What is the common denominator of (-9333)\/(-810) - m\/18 and 73\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.01327 and -36?\nAnswer: -0.47772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22 is divided by -3*4\/72 - (-37)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 112, 460, 1042, 1858, 2908?\n\"Answer: 117*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 143485561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 - 4*d. Let n be t(-3). Suppose -n*b = 0, i = -0*i + 2*b. Is 1\/6 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2650 and 8425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -162793 or -162800?\nAnswer: -162793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 238 = -21*a + 24*a, a = o - 114. Let m = o - 110. Solve -2*g - m = -16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 36740*y + 36741*y = -7, 40 = 6*c - 5*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Solve 30*x**4\/13 + 60265888*x**3\/13 + 176779674*x**2\/13 - 12053160*x\/13 = 0.\nAnswer: -2008860, -3, 0, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h**2 + 0*h**2 - 2*h**3 + (0 - 1 + 3)*(2*h**3 - h**3 - 2*h**3) - 4*h**3 + h**2 - h**2 - 23*h**2 + 17*h**2 - 187*h**3 + 91*h**3.\nAnswer: -104*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 88506962879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 393*f + 2195*f + 1155*f - 94573 - 212353 = 0 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 108*l**2 + l. Let y(o) = 4*o**2. What is y(r(d))?\nAnswer: 46656*d**4 + 864*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11010011111 - -10001111011?\nAnswer: -1000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27439097 is divided by 11500.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -33*n - 13 - 9 + n**3 + 27 - 23*n**2 - 11*n. What is the remainder when w(25) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 747216 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -a, 5*h = 2*a + 13 - 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7434708 is divided by 32752.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:02 AM and 8:02 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, 399, -2\/5, -1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*k - 51*k + 12711 - 4112 = 4539 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**3 - 23283*u**2 + 2260125*u - 55196589.\nAnswer: 3*(u - 7663)*(u - 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -508713388*q**2 + 546358049 wrt q.\nAnswer: -1017426776*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 99503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h = -h + 144. Calculate the smallest common multiple of h and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 67 + -49. Sort n, -0.5, 4, 2 in descending order.\nAnswer: n, 4, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3701488 and -2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 245229*q**3 + 230*q - 230*q.\nAnswer: 245229*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ytttqqtttytt. What is prob of sequence qyy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119*i = 318*i - 204953. What is the highest common divisor of i and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*y + 4 = 21*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4735*x + 9441*x - 140*x**2 + 42*x**2 - 4706*x.\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2887651195.\nAnswer: 5, 11, 13, 17, 353, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19600525 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 53856 - 53874 = 3*c, 50*t = 2*c - 148 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1413.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 339, 316, 271, 198, 91, -56, -249?\n\"Answer: -j**3 - 5*j**2 - j + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 635187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -0.006?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 418, 409, 396, 379, 358, 333?\n\"Answer: -2*f**2 - 3*f + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 246\/4*(-8)\/(-6)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*z + 45 = 25*z - 5*r, 5*z - 43 = 4*r. Let j(t) = -t**3 + 6*t**2 - 2*t + 1. Calculate the smallest common multiple of z and j(5).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -14*n + 3. Let u be ((-16)\/10)\/(3\/15). Let l(v) = 9*v - 2. What is u*l(r) - 5*i(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, s: 10, g: 1}. What is prob of sequence sgks?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -5\/1926327 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -45*d - 143. Calculate i(-7).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1997 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14016 (base 7) to base 16.\nAnswer: -eca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 389080 a multiple of 274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4530863 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2550?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 - 2 + 6 + 0 + 6*u. Suppose -3*t - 41 = 4*b, b - 4*b = 3*t + 36. Is n(t) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x. Let z be v(-4). Suppose -a - 90 = -z*a. Let i = 78 - a. Find the common denominator of i and -53\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the third derivative of -t**5\/20 + t**4\/8 + 7*t**2. Determine k so that y(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 - 1. Let z(p) = -p**3 - 4*p**2 + 6*p. What is z(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17.16 + -17. Let l = -0.13 + t. Round l to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/5*((-441)\/66 - -6) and 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-1))**(25\/4)\/(c*c**(2\/3))**32)**(-12\/5))**22 assuming c is positive.\nAnswer: c**3146","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(192)\/sqrt(4) - sqrt(48))**2 + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -20200 (base 6) in base 11?\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 283257945 and 157365525.\nAnswer: 1416289725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of 3*i**6\/14 - 312*i**5\/35 + 201*i**4\/28 + 34*i**3\/7 - 1262. Let p(a) = 0. Calculate a.\nAnswer: -1\/3, 0, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8150.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1591491871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3\/301 + 337\/3612. Sort 4, j, -4\/11 in decreasing order.\nAnswer: 4, j, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l**2 - 12*l. Let j be i(6). Suppose -3*g + 1 + 8 = j. Let p be (-14)\/(-1 - (2 - 1)). Solve -s + 2 = s, 0 = -g*a + 5*s + p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - 6*q**2 + q + 5. Let i = -21 - -11. Let c(a) = 3*a + 24. Let d be c(i). What is g(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + h - 15. Let y be (-2)\/6 + h\/(-9). Let m = 0.38 + -0.08. Sort 2\/3, y, m in decreasing order.\nAnswer: 2\/3, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 14829*x**2. Let h(t) = -6*t. Calculate h(z(w)).\nAnswer: -88974*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of h**8\/56 - h**4\/12 + 2*h**3 - 10*h**2. Let c(u) be the first derivative of p(u). Find the first derivative of c(w) wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -4*g**2 + 16*g + 16. Let w(p) = -9*p**2 + 33*p + 31. Let l(m) = -3*w(m) + 7*x(m). Let a be 2 - (-16 - 116\/(-29)). Calculate l(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -463 + 1947*n**3 + 1954*n**3 - 14*n**2 - 3900*n**3 with respect to n.\nAnswer: 3*n**2 - 28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 705.697 + -706. Let k = g - -128.303. Let h = 128.0069 - k. What is h rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3973643 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 432 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 9, 0.3, -7\/6, 3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40472, 80777, 121102, 161447, 201812, 242197?\nAnswer: 282602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 12 = 3*c, 0 = 2*h + 3*c - 4*c - 20. Suppose -3*b = b - h. Solve -5 - 7 = -b*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16.12 - 27.23. What is j rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (113*88\/49720)\/((-9)\/5)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -111*l**3 + 2*l**2 + l + 1613. Let j(c) = 2*c**2 + c + 1. Let x(v) = -g(v) + j(v). Differentiate x(o) wrt o.\nAnswer: 333*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30448\/660 - (-102)\/(-765).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 88883296 to the nearest integer?\nAnswer: 9428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -54, -101, -148, -195, -242, -289?\n\"Answer: -47*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (-19 - -31) + 1 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 13*n + 232 - 421 + 215 - n - 2*n. Calculate o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b**2 - 5*b**2 + 2*b + 6*b**2 + 5*b**2 - 2*b.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**3\/3 + 441530*v**2\/3 + 24737440*v\/3 + 115459680.\nAnswer: -5*(v - 88362)*(v + 28)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:49 PM and 1:53 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 53 + 24. Suppose -16 = h*l - 81*l. Let z(b) = -2*b**2 + 8*b - 5. Determine z(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 69664 and 164051256.\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37271.55ml to litres.\nAnswer: 37.27155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1267848.099us in weeks?\nAnswer: 0.0000020963096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 - i + 37. Let w be k(-6). Suppose 0 = 6*o - o - 2*m - w, 0 = -4*o + 4*m + 8. Which is the nearest to -1?  (a) 2  (b) 1\/4  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 - (2 + (-2 - -2)). Let i(g) = -g - 3*g**v + 7 + g. Let x(k) = 241*k - 1089*k + 282*k + 286*k + 282*k. Calculate x(i(u)).\nAnswer: -6*u**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*x - 128, x - r - 43 = 2*r. Suppose 2*j + x = j. List the prime factors of -2*j\/4*2.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 3*t - 9*t. Let b = t - -7. Suppose -19*f + b*f + 5640000 = 0. Round f to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6208 is divided by 50.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (0 - -4) - (-2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*y - 3*y - 5*y - 10*y - y**3 - 1198*y**2 to m*y**2 + j*y**3 + d + t*y and give m.\nAnswer: -1198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**3 - 7*l**2 + 7*l - 2. Let f be c(-8). Let s(v) = v**2 - 6*v + 8. Calculate the least common multiple of 4 and s(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1640 + -1639. Sort q, 7, -41, 4 in decreasing order.\nAnswer: 7, 4, q, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001339677 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 57448621 + 5?\nAnswer: 57448626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum -30.03699 and -1.194373.\nAnswer: -31.231363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*k + 2581 - 1067 = 992 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*v + 440*v + 96*v - 40*v.\nAnswer: 526*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 900397?\nAnswer: 900397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 9784042621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10404.03 months to centuries.\nAnswer: 8.670025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -111*t + 18 = -114*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 2*v**4\/5 - 248*v**3\/5 - 205026*v**2\/5 - 4153752*v\/5 + 14313024\/5 = 0.\nAnswer: -251, -24, 3, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*z + 57 - 1184 = 31*z for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 1 + 3. Let p be (54 - 1) + 2 + u. Suppose -5*b + 4*a = 5*a - p, -4*b - 3*a + 38 = 0. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/3)\/(7\/(-21)). Is ((-1099)\/(-21))\/(r\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3451 + 253?\nAnswer: 3714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3535681 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0283 - -0.3107. Let v = m - 0.039. What is the nearest to -3 in v, -2\/17, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 1) + 0 + 7. Suppose -12*z + 10*z + c = 0. Suppose -5 - z = -4*p. What is the smallest common multiple of p and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155583754.\nAnswer: 2, 1637, 47521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2724, 7421, 15252, 26217, 40316, 57549?\nAnswer: 77916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b**2 + 2*b + 7*b**2 - b)*(2*b**3 + b**3 - 6*b**3).\nAnswer: -15*b**5 - 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.029817 kilograms in grams?\nAnswer: 29.817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14117.\nAnswer: 19, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -0.2  (b) 10835.3  (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/2))**21*k**(-5)\/(k*k\/k**5) assuming k is positive.\nAnswer: k**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 3*c**3 + 372*c**2 + 723*c - 1098 = 0.\nAnswer: -122, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 1\/3, 0.2, -3518, 33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from bpbop.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - o + 13 = 0, -3*o + 7*o = c + 18. Solve -f + c*f = q + 7, 10 = -5*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/8?  (a) -0.1  (b) -0.1205  (c) -11744\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 4*g - 93, -43*i + 38*i - 139 = -6*g. Suppose 0*d - 8 = 2*d. Sort d, g, 1, 2.\nAnswer: d, 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19924 + -36226. What is k rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (-5 + 3 - -8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/4  (b) -8  (c) 12  (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 4\/117207?\nAnswer: 4\/117207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10545868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -60209 - -31896. Round g to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 0*z. Let h = -0.18138 + -0.11862. Let q = -2 - -3. Which is the closest to q?  (a) z  (b) h  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-13)\/d)**(-2\/77) assuming d is positive.\nAnswer: d**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 100 and 12?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 32389657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7918 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 3228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -8 + 16 + 3 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/6 - (-2)\/(-12). Let y be 36\/9 + 101\/(-26). Let r = y + -35\/78. What is the nearest to g in -5, r, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 8*h**2 + 10*h + 1. Let i be a(7). Suppose 5*d - 132 = 3*d + 2*b, -3*b = -d + 76. Let c = d - i. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 3641, -4\/5, 1, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003036373684 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 AM and 4:13 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42 (base 7) to base 6.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12*d**6*i - 6*d**3*i**3 + 5*d**2*i**3 - 2*d**2*i**2 - 8*d*i**3 wrt d.\nAnswer: 1440*d**3*i - 36*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzwzwwzzgzzzzzgzz. What is prob of sequence zg?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 3*i + 7252 = -a, -5*a + 36247 = -2*i. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-1\/31))\/(k**(-35)*k) assuming k is positive.\nAnswer: k**(1084\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 153394.\nAnswer: 2, 76697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -8*i. Let x(h) = -27*h**2. Give l(x(w)).\nAnswer: 216*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*b + 5 + 7 + 17 + 83*b.\nAnswer: 62*b + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -24*w + 6. Let p be -1 - (0 - (4 - -1 - -2)). Let m = 3 - p. Is 8 a factor of q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - -4) + 3 - (-1 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 4*f - 330. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -303*a + 609. Calculate y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/(-4)*1\/5. Let z = 0.07 + 0.93. What is the second smallest value in a, z, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 67034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000064261 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33454 - -510145?\nAnswer: 432251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -11, -145450 in decreasing order.\nAnswer: 0, -11, -145450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -590  (b) 15.05  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1734, 1497, 1262, 1029, 798, 569?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - 4926*i - 2535723. Calculate c(-584).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 - 8*n**2 + 25*n + 127. Determine a(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/4?  (a) -0.02  (b) -3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-51)\/51)\/(2\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -0.3, -43, 0.3, 0.5?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((sqrt(612) - (sqrt(612) - ((-1 + sqrt(612) - sqrt(612)) + 0 + sqrt(612)))) + 0 + sqrt(612) + 1))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 281.\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -a373?\nAnswer: a374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13356 and 2172258?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -25 + 252?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0\/(-1))\/(-9 - -10). Solve 4*l + 23 = 3*p, a = 2*l + 2*p - 0*p + 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81 = 2*s + 5*c, -5*s - 31 = -4*c + 188. Let i = s + 61. Calculate the smallest common multiple of 12 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -491*h - 63 = -487*h + 9*d, 2*h - 5*d = 35. Determine f, given that -2*f + 1\/4*f**5 + 3*f**2 - 3\/4*f**4 + h - 1\/2*f**3 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n**3 - 37*n**2 - 169*n + 6. Let g be f(-10). Let u(w) = -w**3 - 6*w**2 - 7*w - 3. What is u(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, -2, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24.8 + 24.909. Let y = 106.109 - t. Let p = -105.99984 + y. What is p rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 1067 + s**3 + 81*s**2 - 1067 - 82*s**2 + s. Let p(v) = 15*v**3 - 21*v**2 + 21*v. Determine 42*h(n) - 2*p(n).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 + 3*y + 2. Let r be g(-4). Let b(p) = -p**3 + 6*p**2 - 4. Let q be b(r). Let s be 14\/q - 0 - -3. Put -2, -0.2, s in increasing order.\nAnswer: -2, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/4845 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (24*v + 182*v + 18*v)*((4 - 4 - 2)*(-1 + 0 - 7) + 2 + 1 - 1) + 2*v + 0 + 0 as g + y*v and give y.\nAnswer: 4034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -54 + 189. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = 23*a + 25. Suppose -2*b + 20 = a*p, 0 = p + 3*p. Solve 3*z = z + b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 531830009 to the nearest integer?\nAnswer: 23061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 259586?\nAnswer: 2, 129793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwwt when four letters picked without replacement from tttttwtttwtwwtwt?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus -0.34202?\nAnswer: -1.65798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*a - 80*a = 33*a + 2496 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2 = -2*m, -4*m - 2 = 4*s - 6. Suppose s = 4*v + 10 - 62. Let b = 33 - -5. What is the remainder when b is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-186)\/(-372)*4\/(-6)*372\/4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -53.025 plus -207642258?\nAnswer: -207642311.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 2*o + 12 = 0. Let l(x) = -x + 7. Let z be l(o). What is the units digit of (1 + (-20)\/z)*45\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -14*s**2. Let c(f) = 522531*f. Calculate u(c(i)).\nAnswer: -3822541043454*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -3*i**2 + 28965*i + 57942 = 0.\nAnswer: -2, 9657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -v**3 - 5*v**2 + 14*v - 15. Determine s(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2144.4 - 2144.8. Which is the closest to -0.2?  (a) 92  (b) 3  (c) g  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -1869\/82892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 831842 divided by -4\nAnswer: -415921\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4  (b) 178  (c) 6\/13  (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -10\/99 and 8\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 10 and 37038.6.\nAnswer: 370386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 9:56 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -77 in -4, 5.6, 4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 1118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 76 - 94. Let k = u - -113. Suppose 3*d + k = 5*h, -4*h + 5*d + 27 = -49. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-4 + 3 + 0 + 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -24056571 divided by -1\nAnswer: 24056571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -10. Let o(z) = -z + 1 + 0*z**l - 3*z**2 - z**3 - z**2. Let p = -6 - -3. What is o(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q = -3*q - 36. Suppose 0 = -3*x + 4*h + 591, 2*x - x = q*h + 197. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of 0 + 3*k**2 - 3\/2*k**3 + 1\/12*k**4 - 4*k. What is g(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6871600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 2 = -1. Let y(d) = 210*d**3 + 2*d**2 - d. Is y(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -97  (b) -0.09  (c) -0.45  (d) 0  (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -199 - -623. Let d = -418 + a. Are -18 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 1 - 1 = 0. Suppose 0 = -c*m + 2 + 36. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2 + 107*c - 91*c - 1 - 125*c in the form s*c + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -97 + 101. Sort 0, -5, 5, x.\nAnswer: -5, 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 3)*(-4*y**2 + 5*y**2 + y**2) + 66*y - 128*y + 60*y - 12*y**2 + y**2 + 5*y**2 - 4*y**2 + (0 - 1 - 1)*(2*y**2 - 1 + 1).\nAnswer: -6*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 133\/23 - 1997\/230. What is the common denominator of 37\/18 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -38 + 30 + (6 + -2 - (5 - 7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69 = -2*m - b, 3*m - 39 = 3*b + 69. Is (m + -1)*(-2)\/(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 36\/15 - 2\/5. Let h be f\/((-1)\/(-37)*2). Suppose 20 = m - h. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*-2964.\nAnswer: -29640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12858682.\nAnswer: 2, 6429341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 836, 449, -128, -895, -1852, -2999, -4336?\n\"Answer: -95*g**2 - 102*g + 1033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8519270.\nAnswer: 2, 5, 881, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0.1  (b) -0.5  (c) 33  (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 646071*c**2*v - 62*c*v + 4760*c wrt c?\nAnswer: 1292142*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 21 = 2*z, 7*q - 3*q = 2*z - 14. What is the least common multiple of 3 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 488, 1, 0, 4, 7 in descending order.\nAnswer: 488, 7, 4, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llssrfp. Give prob of picking 1 l and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l*l*(((l*l*l*l**(-6\/5)*l)\/l)\/l*l)\/l*l**(-8))\/(l\/(l**0*l*l)*l\/l**(3\/2)*l) assuming l is positive.\nAnswer: l**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 444400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/2 equal to 145145146\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - 1) + 10 + 5 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1331 times -5.88?\nAnswer: 0.782628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*(-4)\/2)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i - 1 + 2 - 2 - 2. Let t be x(-8). Suppose 2*j**4 - 2*j + j**4 - 3*j**3 + 4*j**3 - 3*j**2 + j**t = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k - 5*t + 141, -5*k + 25*t - 30*t = -155 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -413544 - 413562 + 4*l + 1240640 - 413552.\nAnswer: 4*l - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 317870 and 595?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3.8, 2, 0, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 110*n**2 - 55803*n + 5606130.\nAnswer: 220*n - 55803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - -4 - (-11 - 6). Suppose 5*x - d = -3*o, -3*x = x - o - 10. Solve 0 = -x*p - 4*l + 7*l + 9, 0 = p + 5*l + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-2))\/(-4*(-16)\/(-192))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 2 + 11 = 0. Let v be (35\/(-21))\/((-30)\/18). Let g be v\/(0 - (-8)\/(-32)). Put g, f, 2 in descending order.\nAnswer: 2, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + 4 + -2)*-1.\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4513 is divided by 899.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -1. Let j(n) = 15*n - 8. Let x(k) = -5*i(k) + j(k). Is x(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -522568*n - 522423*n + 1044425*n.\nAnswer: -566*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -6*m. What is the units digit of z(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -3*s**3 - 9*s**2 - 3*s + 4. Let o(h) = 5*h**3 + 17*h**2 + 5*h - 7. Let x(f) = 7*g(f) + 4*o(f). Let u be x(2). Solve -u = -7*n + 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 422393, 844779, 1267165?\nAnswer: 1689551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*f**4 - 196*f**2*l**2 - f*l**2 - 291*f wrt f.\nAnswer: 84*f**2 - 392*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**5\/5 - 16*c**4 + 202*c**3 - 644*c**2 - 1960*c - 5488\/5 = 0?\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/(-2) + (-1 - -4). Suppose 5*v - 905 = -q*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r**3 + 5*r**3 + r**3)*(-r + 1 - 1 + (-r - r + 0*r)*(-2 + 3 + 0) + 6*r + 7*r + 10*r)*(-19 + 25 - 24).\nAnswer: -720*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p**2 - 13*p - 89. Suppose 0 = 4*a - 9*a + 15. Suppose -11 = d - 5*v, -a*d - 5*v + 32 = 5. Calculate the lowest common multiple of d and c(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (42 - 42 + 11*v)*(0 - 1 - 4)*(2 + 3 - 3).\nAnswer: -110*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -6*n + 2*n + 282656012, 2*d + 8 = 0. What is n rounded to the nearest one hundred thousand?\nAnswer: 70700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 2*r + 4 = 0. Let q be (0 + 0)\/(4\/r). Put 3, 1, q in descending order.\nAnswer: 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/11 + 34*y - 740\/11.\nAnswer: -2*(y - 185)*(y - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 2, 6\/17, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 4, 5, 2 in descending order.\nAnswer: 43, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 36 = 3*v - 5, -2*n - 10 = 2*v. Let g = v + 7. Let f = -2 + 2. Solve k + f - 2 = g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5263 - 5262. Sort -4, 2.05, -0.13, o.\nAnswer: -4, -0.13, o, 2.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*y + 170*y - 2 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -43 - -42. Let n be (-6)\/(-4) + d - (-7)\/2. Let u be 0\/(-2)*(-3)\/(-6). Solve 3*y - n*z = 1, -2 = -z - u*z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*s**2 - 10*s**2 - 20*s**2.\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_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 is prob of sequence qd when two letters picked without replacement from {q: 2, j: 1, d: 1, f: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -7134.8*-9\nAnswer: 64213.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 393612 by 131204.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 - 158*t**2 + 153*t + 169. Calculate p(-159).\nAnswer: 1123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*k**2 - 13*k**2 + 2*k**3 - 28*k**2 + 12*k**2.\nAnswer: 2*k**3 - 39*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44\/((-572)\/(-195)))\/((-3)\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of k**4\/12 - 19*k**3\/6 - 23*k**2 + 5*k + 13. What is the hundreds digit of u(37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, -2\/15, 340?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1522 - 2327*c**3 + 510 + 504 + 508.\nAnswer: -2327*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 31*g**2 - 110*g + 578. Calculate l(5).\nAnswer: 803","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2502501 - -5?\nAnswer: 2502506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-35)\/(-10))\/(6\/12) + 908026 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 38558503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -17*w**3 - 5*w**2 - 5. Suppose 2*o - 6*o + 12 = 0. Let h(p) = 7 + 33*p**3 - 70*p**2 + 77*p**2 - 8*p**o. Give 7*a(y) + 5*h(y).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/((-59)\/(7965\/1125))*(-4)\/(-10)\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 357569951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of 5*d**7\/21 + 3*d**6\/2 - 5*d**5\/2 - 45*d**4\/4 - 25*d**3\/3 - 53*d + 2. Suppose q(p) = 0. Calculate p.\nAnswer: -5, -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -14, 0.5, -31, 164?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 - 9. Let q = 9.8 - o. Which is bigger: -1\/5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 60 + -448. Let p = b - -381. Sort -0.4, 1, 2, p in descending order.\nAnswer: 2, 1, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -7*t + 1. Give q(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/5  (b) 0.21  (c) 32985  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -20*c**3 + c**2 - c - 1. Calculate w(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x**5\/2 + 88545*x**4\/2 + 326520699*x**3 - 2287859043*x**2 - 653041401*x\/2 + 4575629541\/2 = 0.\nAnswer: -14761, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000615 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 10) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7041, -19238, -31435, -43632?\n\"Answer: -12197*f + 5156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 32 and 736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 324 and 5238.\nAnswer: 31428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24071 = 30*o + 793*o + 37654 for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 4*b = -8 + 26, -l + b - 1 = 0. Differentiate -1 + 2*z + 0 + 2 + l wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -14*z. Let n(h) = 10*h**2 - 24*h**2 + 5*h**2 + 7*h**2. Calculate b(n(l)).\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 + 92026*i - 10.\nAnswer: 92026*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/11  (b) -24.27  (c) -3  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 3*u**2 - 9*u - 6. Let b(v) = -18*v + 142. Let s be b(8). Let l be k(s). Solve 3*x = 9*x - l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/5  (b) 0.134  (c) 1\/2  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 22 = 2*n, 0 = -3*n - 3*d + 2 - 8. List the prime factors of 1\/n + 588\/15.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5340330 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -15180, -30361, -45542, -60723, -75904, -91085?\n\"Answer: -15181*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 PM and 6:09 PM?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(152) + sqrt(152))*1)\/(-6*(sqrt(8) + sqrt(32))).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -51982, -103963, -155944, -207925, -259906?\n\"Answer: -51981*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = 18*i - 98 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from pfccpczzccdcczzccdp?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 16712500579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*q = 24*q - 40. Calculate the remainder when 78 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13 and 60619?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 200 - 302. Let p be 187\/9 + (r\/27 - -4). Suppose 0 = 3*k - 4*y + p - 2, 3*y = -k + 11. Is k smaller than -5\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2, 117, 434, 1045, 2046, 3533?\n\"Answer: 16*r**3 + 3*r**2 - 2*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27038 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 11*g + 97. Let z be y(-8). Let r(k) = k**3 - 7*k**2 + 3*k + 6. Let a be r(6). Let m = a + 30. What is the highest common divisor of m and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 7*a = 18. Calculate the greatest common divisor of a and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v**2 - 3*v - 10. Let y(n) = 1. Let o(a) = -j(a) - 6*y(a). Let z(f) be the first derivative of o(f). What is the first derivative of z(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 7. Let l be ((-29)\/u)\/(1\/4). Let d = l - -41. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -459 - o + 2*o**4 - 6*o**2 + 458 - o**3 + o**3 to the form t*o**4 + j*o + l + b*o**3 + h*o**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0747351 kilograms in nanograms?\nAnswer: 74735100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -190 = -45*b + 125 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -430.21 - -515.6. Let v = -85 + w. Let u = 0.01 + v. What is the third smallest value in 1\/5, -5\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8323480 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21.5 - 21. Let c = -5 + 8. Sort d, 0.1, c in ascending order.\nAnswer: 0.1, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-57)\/20007*-13)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c + 10. Calculate o(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-462*g - 384*g + 784*g + (4*g - 4*g + g)*(3 + 2 - 3))*(g + 4 - 4).\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - -1) + -16 + 23\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - j + 12 = 0. Let i(l) = 86183*l**2 - 3*l + 15. Let a be i(6). Suppose -j*n - a = -522585. What is n rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 13 = 2*t - u, u = -3. Solve -2*s = 3*l + t*s - 10, 2*l - 4*s = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (18\/(-4))\/((-308)\/(-160) + -2). Solve 0 = 4*d - 16*d + z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 9 - 259*a**2 + 12 - 6.\nAnswer: -259*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0005621 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 6:25 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y**4 - y**4 + 0*y**4 + 5*y**4 - 5*y**4 - y**4 + (-2*y - 5*y + 2*y)*(0*y + 3*y**3 + 0*y).\nAnswer: -17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 187368 divided by 12\nAnswer: 15614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**4 - z**3 + z**2 + 1. Let u(s) = -5*s**4 + 3*s**3 + 21*s**2 + 2*s - 24. Let i(g) = u(g) + 3*v(g). Find the second derivative of i(a) wrt a.\nAnswer: -24*a**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/(-6 - -1 - (-2 - 0)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2 + 9*v + 11. Let n be a(7). Let s = n + -15. Let d(r) = -1 + r**2 + s*r**3 + r - 2*r**2 + r**2. What is d(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -32 + 33. What is the third smallest value in -1\/2, v, 1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/20*(-8)\/20*10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 190073 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*6\/(-30)*-10. What is the units digit of -2 - (p\/(-12) + (-1114)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 8010 - -5389.\nAnswer: 13399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1589 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + 1333?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16337 + 12561 = -35*c - 201*c for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 1)*(d + 0*d + 2*d)*(-3*d**2 - 4*d**2 + 2*d**2).\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1046 or 1028?\nAnswer: 1028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 293*x**2 + 2*x + 2. Is a(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2103022201 (base 5) to base 16.\nAnswer: -424dd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10477*d**3 - 1908*d**2 + 1908*d**2.\nAnswer: 10477*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2286 plus 0.11?\nAnswer: -2285.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1017463 or -1017464?\nAnswer: -1017464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 144\/(-210) + (-5)\/((-35)\/2). Let u = -1.09 - -0.99. Which is the nearest to u?  (a) -1  (b) g  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 128 and -0.5?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-681*d + 126*d**3 + 52*d**3 + 682*d)*(d**2 - 2*d**2 + 2*d**2).\nAnswer: 178*d**5 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (90\/(-12))\/5*(-12)\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.07 + -8.67. Let t = 2 + 6. Let x = t + f. Round x to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 197 is divided by 65.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/5128 and 101\/2954344?\nAnswer: 1893734504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b - 1. Suppose -5*r + 2 = 15*k - 12*k, 3*k + 3*r = 6. Let m(q) = 1. What is k*m(t) + 6*y(t)?\nAnswer: -6*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -256873 + 256828.0094. Let a = -9.1 + -35.9. Let l = a - g. Round l to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5769 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 24635.526 to the nearest 10.\nAnswer: 24640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -33, -78, -4 in ascending order.\nAnswer: -78, -33, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 345*r - 215*r + 3*q + 42 - 293 = 0, 9 = -3*r - 5*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3\/3 - 12584*c**2 + 59358720*c + 712908800\/3.\nAnswer: 2*(c - 9440)**2*(c + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -157475 - -917638. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 387 - 128 + 146*t + 1596*t**2 - 129 - 121 - 30*t**2 wrt t?\nAnswer: 3132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15180 by 3036.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432)*2*5*-3)**2*5.\nAnswer: 1944000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2633053 (base 7) to base 12\nAnswer: -14738a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -59015270, -59015278, -59015292, -59015312, -59015338, -59015370, -59015408?\nAnswer: -59015452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 4. Let u = -1.9 - t. Let m = 5.4 - 0.4. What is the smallest value in m, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2 or 21\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3 - 32991*n**2 - 132012*n.\nAnswer: 3*n*(n - 11001)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -1, -12, 34, 31 in increasing order.\nAnswer: -12, -5, -2, -1, 31, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3*(0 - (3 - 4)). Let q(g) = -g**3 - 3 - j + 5 + 2. Calculate q(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 59370 - 59417.643. Round y to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7 - -6.6. Let d = s - 0.6. What is the closest to 1 in d, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 45 and 99?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 3*k + 8, 0 = 4*h - 3*k - 29. Factor -9\/4*b + 9\/4*b**4 - 3\/4 + 3\/2*b**3 - 3\/2*b**2 + 3\/4*b**h.\nAnswer: 3*(b - 1)*(b + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 477 divided by 9?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 351 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 times -14?\nAnswer: -4634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.037 + -1.737. Let d = v + 1.1. What is the nearest to 0.1 in -1\/3, 0.4, d?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of j**6\/120 + j**5\/12 - 5*j**4\/24 + 2*j**3\/3 + 3*j**2. Determine t(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -449 - -309 - (-273 + 19)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*b + 4*b + 2*b**5 + (-101*b + 7*b - 367*b)*(-3*b + 2*b**4 + 3*b + (-4*b + 4*b - 2*b)*(-2*b**3 + 0*b**3 + 4*b**3) - 10*b**2 + 10*b**2 - 8*b**4).\nAnswer: 4612*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 13.3, 1, 0.4, -505, 5 in increasing order.\nAnswer: -505, 0.4, 1, 5, 13.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 2\/337262787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2318253*w**3 + 18763*w**2 - 37550*w**2 + 18787*w**2 - 2318251*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*((u\/u**24*u)\/u)\/u*u*(u\/(u\/u**(2\/3)))\/u*u*u*(u*u**10)\/((u\/(u\/(u*(u*u**(-4\/5))\/u)))\/u*u*u))**(18\/7) assuming u is positive.\nAnswer: u**(-948\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 0. Let u = 5 - f. Sort 1, 0.4, u.\nAnswer: 0.4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -37 at least as big as -55242\/1489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 799 by -1.\nAnswer: -799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/14)\/(13\/((-910)\/(-10))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2315582767 to the power of 1\/3, to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4745592 and 399.\nAnswer: 33219144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s. Let u(d) = 24*d - 4. Let v(j) = 4*j**3 + 2*j + 1. Let b be v(-1). Let c(f) = b*z(f) - u(f). What is the units digit of c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 529743799.\nAnswer: 13, 40749523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t. Suppose 5*n - 3*o + 92 = 0, -2*o = n - 3*o + 20. Let a(f) = -36*f - 16. Let l(k) = 7*k + 3. Let p(c) = n*l(c) - 3*a(c). Calculate s(p(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*f**4 + 4*f**3 + 402*f - 24890 with respect to f.\nAnswer: 8*f**3 + 12*f**2 + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -6*b**2 - 3*b. Let p be 10\/(-4)*1*-2. Let y(t) = -t**2 - t. Let j(f) = p*y(f) - m(f). What is the second derivative of j(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -4 + 62. Let z = -27 - p. Let l be (-4)\/(-18) + (-75)\/(-27). Solve z = l*i - 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/149  (b) -2\/9  (c) -0.1  (d) -53  (e) -109  (f) -0.2  (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -88 - -87. Is (-2 + (0 - s))*-933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of 155\/2*n**2 + 13*n - 18. Is w(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + (sqrt(637) - ((sqrt(637) - (sqrt(637) + sqrt(637)*3)) + sqrt(637))**2) - sqrt(637)) + (-4*-2*sqrt(637) - sqrt(637))*1.\nAnswer: -10204 + 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4*2\/4 + -6. Let n(p) be the third derivative of p**6\/120 + p**5\/12 - p**4\/8 - p**3 - 39*p**2 + 662. What is n(q)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h**2\/7 - 1292*h\/7 - 11790\/7 = 0. Calculate h.\nAnswer: -9, 655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 + -14. Let p be (-75)\/a - (-6)\/(-8). What is the units digit of (2\/6)\/(p\/(-231))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 71 - 69. Solve o*b = -n - 2, 5*n = 4*b + n - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 11 = -25. Calculate the greatest common factor of 49 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 224*f + 137826 = 243*f. Is f a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 76*h. Let s(j) be the first derivative of -5*j**3\/3 - 3*j - 11. Let o(m) = -12*m**2 - 7. Let f(a) = -3*o(a) + 7*s(a). Determine f(r(u)).\nAnswer: 5776*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/2766 and -27\/1068137.\nAnswer: 6408822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 961520 and 8209280.\nAnswer: 976904320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2\/11 - -3\/44. Let l = -7.5 + 8. Let i = -0.6 + l. What is the closest to d in 0.1, 1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 132\/(-77) + 2*1. What is the smallest value in u, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-6)\/9)\/(2\/9). Let w = 366 - 365.7. What is the closest to -2 in p, w, -2\/11, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.7705 + -2.4705. Which is smaller: -0.912 or d?\nAnswer: -0.912","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 4:07 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 9.6, -38, 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 1512954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yff when three letters picked without replacement from {f: 13, y: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 460*z + 566*z - 57098 + 7866 = 302*z for z.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 250.2846 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3*d - 287 = -83, -4*i + 244 = 7*d. What is the highest common factor of i and 6723?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 444503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 381*d - 391*d = 0. Solve -2*u - 7 + 5 = d for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/55021473 and 49\/43438005?\nAnswer: 825322095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 73*r**2 + 73*r - 1384. Let f be d(-72). Which is greater: -1459 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-25)\/(-3) - (-10 - (-325)\/39). Solve -v = 10*c - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3012449, 3012498, 3012547?\n\"Answer: 49*y + 3012400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 129 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 11*o**2 - 4*o - 2. List the prime factors of c(-6).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 47 + -41. Let d = 152 - 157. Let k be d\/(-15)*0\/(-2). Solve f + f + q = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64904, 129810, 194716, 259622?\nAnswer: 324528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -913*o**2 - 3605*o + 29. Give l(-4).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**6\/i)\/i*i*i\/(i*i**(-1\/15)))**15 assuming i is positive.\nAnswer: i**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.9 - 0.7. Let l = 3 - -1. What is the smallest value in x, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of 0*b**3 + 0 - 1\/12*b**4 - 2*b + 2*b**2. Give f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/15)\/((-2)\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 e, and 1 i when three letters picked without replacement from mimmuimyemmmuuiu?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**3 - 63*j**2 + 4157*j - 35822. Give z(24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 128 + -131. Let r(y) = 7*y**4 + y**2 + 3*y - 5. Let s(o) = o + 1. Let u(z) = w*s(z) + r(z). What is the third derivative of u(f) wrt f?\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -6*j + 16. Let g = -501 + 490. Let p(t) = -1 - 2 + 2*t - t. Determine g*p(z) - 2*h(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 146 times -89?\nAnswer: -12994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - z = -148. Suppose 4*n + 25 = g + 7*n, 0 = -2*g - 5*n + 46. Calculate the remainder when z is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 2, 12 in decreasing order.\nAnswer: 12, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 53862 and 43930.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 123 and -517 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 - 4*q**2 - 5*q - 2. Let j be p(-3). Let r be 3\/15 - (-50)\/(4250\/153). Solve 3*n - j = r*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1500269 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 + 0*n**2 + 3*n**2. Let a(u) = -u - 1. Let d(j) = -4*j - 3. Let w(q) = 3*a(q) - d(q). Give w(p(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 6:55 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 979*c - 12 = 982*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.2 + -13.6. Let b = p + 26. Put b, -1\/3, -0.4 in increasing order.\nAnswer: -0.4, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -4*o - 245, 258 = -5*o + 5*x - 52. Let j = 30 - o. Suppose 0*i - j = -5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 0)*(-3682848 - 4687*i + 3682848).\nAnswer: -9374*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*x - n + 187, x = 5*n + 4670 - 4681 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 36\/(-4) - ((-165042)\/(-33003) + -14). Is 1 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16 is divided by 2 - (4 - 12) - 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91913+-0.1\nAnswer: 91912.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 12.8\nAnswer: -5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -8*f**3 + 1480*f**2 - 2936*f + 16. Let u(o) = -17*o**3 + 2961*o**2 - 5872*o + 36. Let q(j) = -4*u(j) + 9*x(j). What is y in q(y) = 0?\nAnswer: 0, 2, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4 + 2745\/(-36))*(16\/90)\/4 and 626\/378 - 6\/21.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 537205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -11 * -915\nAnswer: 10065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/((-4732)\/65))\/((-4)\/8).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 + 7*t - 5. Let b be i(6). Let g be -2 + b - (-6)\/2. Factor -g*r**3 + r**5 - 5*r - r**4 - r**4 + 8*r**2 + 2 - 3*r + r.\nAnswer: (r - 1)**4*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49054?\nAnswer: 2, 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2765 - -4118. What is the smallest common multiple of i and 615?\nAnswer: 6765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34\/5 + -82\/15. Let w = 0.1 + -0.1. Let r = w + -5. What is the closest to 0 in -2\/3, r, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**5 + 4*y**5 - y**5 + (-124*y - 77*y + 102*y)*(-y**2 + y**4 + y**2) + (-3*y**3 + 5*y**3 + 0*y**3)*(-y - 2*y**2 + y).\nAnswer: -102*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of l - 2 - 10 + 0 + 12*l wrt l?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*t + 0*t - 5*t)*(-416 - 374 - 289)*(-5 + 1 + 3) in the form c*t + v and give c.\nAnswer: -1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -27, 2, -1, 1 in decreasing order.\nAnswer: 2, 1, 0, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {j: 3, i: 1, w: 2, q: 3, n: 10}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -250 - -257.4. Let m = -7.6 + q. What is the second smallest value in m, 0.25, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, h: 7}. Give prob of sequence eeeh.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -0.6, -2\/11, 0.5, 14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by 1*(-2 + 0)*(-20)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 792861 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4 + 1)*(-15*q**2 + 141*q**2 - 40*q**2 + (q + 1 - 1)*(0 + 2*q + 0)*(0 - 5 + 6)).\nAnswer: 264*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w + 28 = 4*w. Let j be 10\/35 + (-66)\/w. Let o(f) = -f**3 + 5*f**2 - f. Let p(u) = 2*u**3 - 6*u**2 + u. Let h(i) = j*p(i) + 6*o(i). What is h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, 59 in decreasing order.\nAnswer: 59, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 6*t**3 + t**2 + 19 - 18 - t)*(-268 + 210 - 237) to the form r*t**3 + x + m*t + f*t**2 and give x.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oooyomhoohyhhhkn. Give prob of sequence ynm.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of i**5\/120 - i**4\/12 + 5*i**3\/6 - 5*i**2. Let g(m) be the first derivative of o(m). Differentiate g(z) with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -209.771*-1\nAnswer: 209.771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q - 7. Let u be i(6). Let v(l) = -6*l**2 + u*l - l**2 + 6 + 3*l**2 - l**3. Is 6 a factor of v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007222934 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2 + -2 + sqrt(5)*-2 + sqrt(5))*4)**2.\nAnswer: 128*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2001323 (base 5) to base 3.\nAnswer: -1121011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - w + 7, -w = -4*n - 0*w + 11. Suppose 0 = -n*c + 54 + 46. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 3, 0.106, -4, 96?\nAnswer: 0.106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27*z + 44*z + 95*z.\nAnswer: 112*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 8.8?\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 8) + 17 + -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*y**2 - 972*y - 2898 = 0. What is y?\nAnswer: -483, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -22.291 * -6.3\nAnswer: 140.4333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-2\/17)\/q**(-1)*(q\/q**1)**(-11\/5) assuming q is positive.\nAnswer: q**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2555951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (2 - (1 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183 is divided by 59?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 2*o + 12 = 0, -4*v - 7 = o + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-n - 3*n + 3*n)*(-6*n + 3*n + 4*n) + 19*n + 13*n**2 - 19*n + (-2 + 2 - 1)*(-2*n + 2*n - 2*n**2) to the form x + c*n + y*n**2 and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2824 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.72963376 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -2*y**2 + 8*y - 2. Let s(z) = -4*z**2 + 17*z - 3. Let l(x) = -2*s(x) + 5*u(x). Let p(m) = 2*m**2 - 7*m + 5. Calculate -6*l(o) - 5*p(o).\nAnswer: 2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -104326334 - -2?\nAnswer: -104326332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f - 5*b = 12, -7125*b + 7120*b - 28 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4414.5 + 4414. Let m = -46.06 - -42. Let o = m + 0.06. What is the second smallest value in v, o, 2\/23?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 201352.\nAnswer: 2, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -2*a**2 - 9*a + 3. Let x(o) = -o**2 - 6*o + 2. Let d(f) = 3*x(f) - 2*z(f). Let r = 2 + -2. Let t(g) = -4*g - 2*g + r + 0. Calculate d(t(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 303269 and 6401.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the third derivative of 773*t**6\/40 + t**5\/60 + 647*t**3\/3 + 1400*t**2. Find the third derivative of p(s) wrt s.\nAnswer: 13914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*0.2755\nAnswer: -1.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 8 + 27. Suppose -3*k - o*v + 2*v + 68 = 0, -2*k + 16 = -4*v. Let w = k - 16. Is w < -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*t + 3*t + t in the form y*t + l and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*o**3 - o**3 + 2*o**3)*(-2*o - 4 - 4 + 6)*(1 - 5 + 1) + o**4 - 5*o**4 + 3*o**4 + (0*o**3 - 2*o**3 + 4*o**3)*(-4*o + o + o).\nAnswer: o**4 + 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2 - 3226*c - 28872.\nAnswer: -2*(c + 9)*(c + 1604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 1\/4, -3, 9, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 376 and 4042?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*d = 4*k - 0 + 89, -1107*k - 3*d + 9 = -1111*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16687 + -116807\/7. Factor j**5 - r*j**2 + 0 + 0*j + 3\/7*j**3 + 12\/7*j**4.\nAnswer: j**2*(j + 1)**2*(7*j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1c145 + 26?\nAnswer: 1c16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 AM and 6:00 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 46 - 43. Suppose h*d = 0, -5*v + 10*d - 5*d = 0. Suppose 0 = 4*a - 6*k + k + 178, -3*a + k - 128 = v. Which is greater: a or -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 522*m = 518*m - 63, 2*w - m - 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 241659592 and 388.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -41.265 - 9203.54026?\nAnswer: -9244.80526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1284)\/(-16)*3\/(-39)*-87. Let f = l - 537. Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100164 is divided by 24426.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84368.\nAnswer: 2, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.0000192 + -5. Round t to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**2 - w. Let o(a) = 2095*a**2 + 3*a - 563. Let u(n) = -o(n) - 3*v(n). Differentiate u(t) with respect to t.\nAnswer: -4184*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4 + -3 + 2\/(-2). Let r = 3229 - 3227. Solve j*l = r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/((-32)\/(-2))*(-5970)\/(-68655)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 103*n - 141. Determine s(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -297*b - 193. Let k be z(8). Which is smaller: k or -2570?\nAnswer: -2570","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 2 + 5 + 8*l**2 - 3*l**2 - l**2 + 0*l**2 + (2 + 4 - 5)*(3*l**2 + 0*l**2 - 5*l**2).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of 0*p**2 - 9 - 10*p + 5\/2*p**3 - 5\/8*p**4. Factor d(j).\nAnswer: -5*(j - 2)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 53 + -2\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 152285, 609121, 1370523, 2436497, 3807049, 5482185, 7461911?\n\"Answer: g**3 + 152277*g**2 - 2*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -38.301 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 87\/7, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 70 and 67655?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 less than 30707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 26*h + 11. Let n(v) = -17*v - 7. Let g(a) = -8*n(a) - 5*x(a). Let d be g(-2). What is the remainder when (1 + d\/3)*-3 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -2*t. Solve 2*n + 2*n + 4 = -4*i, 3*i - 3*n - 15 = t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 7*l + 146025. Let d(m) = -4*m**2. What is n(d(q))?\nAnswer: -28*q**2 + 146025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11*l**3*o**2 + 10*l**2*o**3 - 536*o**3 wrt l?\nAnswer: -33*l**2*o**2 + 20*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - w + 68, -y - 48 = -3*w - w. Let x = y - -47. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of -m**5\/30 + 3*m**3\/2 + 7*m**2 + 6*m. Let d(z) be the first derivative of p(z). What is the first derivative of d(j) wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 24*v**2 + v**3 - 1 + 6 - 2*v - 25*v**2. Is q(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of x**8\/13440 - x**7\/5040 - x**6\/1440 + x**5\/240 - x**4\/12 - 5*x. Let b(v) be the third derivative of i(v). Solve b(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61 a factor of 63074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 19141450 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3336296009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, 7, 4, 163, -4, -3 in increasing order.\nAnswer: -4, -3, 0, 4, 5, 7, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 770\/(-42)*1*(-27)\/(-45)*-7?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 391392 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*k - 4 = 8*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*o + 116 = 15*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes after 6:55 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 165744842 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 171 + -170. What is the smallest value in 6, 0.01, -1\/5, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 354695791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 160\/(30\/3)*((-1468)\/(-16))\/1. Which is greater: s or -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 204, 204, 192, 162, 108, 24, -96, -258?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-12))\/(((-6)\/4)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of g**3\/3 - g**2\/2 + 16*g. Let r be v(1). Suppose -3 - r = -l. Solve 4*w - z + 19 = 0, -l*w - 7 - 8 = -5*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 0. Let o = i + 9. Suppose 22*y + 10 = 27*y. Solve -3*b - 5*p = -8, b - 16 = y*b - o*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2911729 divided by 227\nAnswer: -12827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -95398841 < -95398844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -38*n + 190. Let f be y(5). Factor f*r + 0 + 3\/2*r**2.\nAnswer: 3*r**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 75*z**2 - 156*z + 27. What is u(-73)?\nAnswer: 757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of 21*o**4\/8 - o**2. Let q be v(6). What is the units digit of q\/7 - (-2 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 PM and 2:31 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21573 and 10434.\nAnswer: 1596402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 25 - bab?\nAnswer: -b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/1265 and -59\/920?\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-15)\/140)\/(-22 - 2595\/(-120)). Let q(k) = 2*k. Let d be q(1). Put d, t, -0.03, 0.3 in descending order.\nAnswer: d, 0.3, t, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80 and 29162180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13.02739l?\nAnswer: 13027.39","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -86 + 137. Calculate the greatest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -2, 2.114, -3, -246 in descending order.\nAnswer: 2.114, 0.2, -2, -3, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-5 + 1 - -6) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/439 - -1325\/1756. Let i be (3\/7 - 0)\/(18\/(-126)). Which is the nearest to t?  (a) 0  (b) 1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -16*z - 21. Give n(11).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1.46736 and 5.\nAnswer: 3.53264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14\/25531 - 57164035\/229779. Let r = 249 + i. Let q = 0 - -3. Which is the third biggest value?  (a) 0.1  (b) r  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -8*z - 5. Solve f + 5 = z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*p + 25*p + 26. Suppose 2*y = -4*h + 11 + p, 3*y = -3*h + 48. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cq when two letters picked without replacement from {q: 3, z: 1, c: 1, o: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t + 0 + 0)*(-2*t + 3*t + 4*t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**2 - 3*c - 1. Determine m(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29726?\nAnswer: 2, 89, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -89*0.2\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_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: b\"What is the nth term of -15, -37, -47, -39, -7, 55, 153?\n\"Answer: n**3 - 29*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24141229?\nAnswer: 7, 19, 181513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, z: 3}. Give prob of sequence zb.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 + 16. Suppose -4*w = -27*w + 46. Suppose -27*j = w*j + 3*j. Determine p(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4046442?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of -3*x**4\/32 + 3*x**3\/8 - 2. Factor g(o).\nAnswer: -3*o**2*(o - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express q - 51*q**2 + 5*q - 6*q in the form y + x*q + f*q**2 and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 1448 = b - 1444, -2*x = 3*b + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -22\/7 and -35\/16285609?\nAnswer: 113999263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 216309829?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.474945 + 54\nAnswer: 54.474945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 4 = -2*r. Let k = -2 - r. Does 21 divide 30 + (-2)\/(3 + k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f - 4. Let l be g(6). Let i = 55 + -273\/5. Determine n so that -2\/5*n**l - i*n**3 + 2\/5*n + 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of -3*m**2 + m - 2. Let z be x(-1). Suppose 2*v - z = -5. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**5 - 974685*i**3*k + 4*i*k - 2157007*i wrt i.\nAnswer: 20*i**3 - 5848110*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(11))*-5 + (1 + sqrt(704) - sqrt(11)) - ((sqrt(11) + 1)*-1 - (sqrt(11) - (-1 + sqrt(99)))))**2.\nAnswer: 16*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00019396131019 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110101111111 - 1001100011?\nAnswer: -111111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 - 169474711.2?\nAnswer: -169474711.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1149, 3\/2, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.07399279 and -0.018806.\nAnswer: 0.05518679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 11) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 36 + 20. Let y be (20\/(-3))\/(l\/(-12)). Let a be y - 16 - (0 + -1). Solve 0 = -2*f - 5*v + 23, a*v - 26 = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 8*d**2 - 2*d + 4. Let w = 69 + -67. Let g(z) = 3*z**2 + 2*z**2 + 6*z**2 + 3 - 5*z**2 + z**w - z. Determine 5*g(v) - 4*m(v).\nAnswer: 3*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25544 is divided by 1409?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/47 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p - 3*p - 3*p)*(10554*p**2 + 2873*p**2 + 1770*p**2).\nAnswer: -30394*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6*((-4)\/2 - 8\/(-6)). What are the prime factors of (-29)\/116 + (-941)\/v?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612) + (sqrt(612) - (sqrt(612)*3 + 3)) + -2 + 1)**2.\nAnswer: 48*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**2 + s - 1. Is z(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -912 = -12*u + 6*u. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 26944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -5697, -5702, -5711, -5724, -5741, -5762, -5787?\n\"Answer: -2*g**2 + g - 5696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b = 4*b - 5*i + 60, i = 2*b - 36. Suppose -b*q - 144 = -52*q. Solve q*x + 2*v - 10 = 0, -x = -2*v - 0*v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/((-6)\/154 + 6\/33). Solve -a*i = -10*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 22 = 3*i. What is the lowest common multiple of 10 and (0 - i)*(10 + -9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*m - 180 = 0. Let l be ((-8)\/m)\/(2\/(-6)). What is the closest to l in 5, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 7 = -9. What is the tens digit of -1 + 6 + (-24)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 3*w = 9 - 30, 0 = c + 2*w + 3. Suppose -c*z = 4*a - 185 - 488, z - 215 = a. Is z a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40185268 to the power of 1\/2, to the nearest integer?\nAnswer: 6339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:43 PM and 12:35 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 + 1 - (-7590)\/1150*15.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28458973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/(r*r\/(r*r\/(r*r*(r*r**(-8))\/r))*r)*((r**(-1\/4)\/r)\/r)\/r*r*r*(r\/(r*r**(2\/67)*r))**(-34) assuming r is positive.\nAnswer: r**(10657\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = -953 + 1137. Suppose -t*h = -18*h - 2070. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w**2 - 2*w. Determine q(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 822510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 PM and 1:43 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirty-one fifths of a century?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1405 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -679 + 1310. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (10 + -4)*(-1 - -2) + -4. Factor -a**2 - a**i + 13*a**2 - 2 - a**2 + 19*a.\nAnswer: (a + 2)*(10*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1864 divided by 8.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - f + 3 + 1, 14 = u - 3*f. Let p be 3 - (u + (-2 - 0)). Determine i so that i**2 + 8*i + p - 1 + 5*i**2 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5584a - 3?\nAnswer: -55851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 + 25 - (0 + 0 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -58 + 57.8. Let v(p) = 3*p**2 - 2*p - 3. Let f be v(4). Let d = f - 147\/4. Which is the smallest value?  (a) -1\/15  (b) k  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -96307 rounded to the nearest one thousand?\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-1)\/10 + (-93)\/(-4030)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -312202210 (base 4) to base 11\nAnswer: -142928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -18\/20381431 and -44\/21?\nAnswer: 61144293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 31*n**2 + 2*n - 1. Let a be i(2). Let p = a - 82. Let j = 75 - p. Solve -2*y = 5*u - j, 4*y - u = -2*u + 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2813 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (42\/1911)\/(1\/(-7))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1102 smaller than -1102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16791 - 2920 = 249859*b - 249716*b for b.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.07 + -0.03. Let t = 67497 + -67498. Which is the smallest value?  (a) 1\/3  (b) t  (c) j  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 349 - 348. Let m = 80.34 - 81. Let t = m + 0.6. Which is the second biggest value?  (a) -0.1  (b) t  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 92000.1?\nAnswer: -91998.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 46 divided by 3871?\nAnswer: 46\/3871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 - -59.02. Let x = j + -0.02. Let p be ((-12)\/11)\/(2 + 0). What is the closest to -2\/3 in 0.2, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -3 + 0 + (3 - 4) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 60726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 894337805 is divided by 1979?\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -31 - -249\/8. Which is the smallest value?  (a) n  (b) -3\/4  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 0.2, 56448 in increasing order.\nAnswer: -0.2, 0.2, 56448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 22 = -16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -149 + 305. List the prime factors of (b\/(-15))\/((-6)\/45).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1084 divide 5247601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 - -11. Determine n, given that -3 + 2*n - d*n - 1 + 2*n**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 307 in 0.1, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -21\/29 in -2, 4, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-17*-2*(-23)\/(1104\/(-24)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, a: 3, h: 3, i: 4}. What is prob of sequence ai?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0*f - 2*r - 4 = 0, -3*f + r + 14 = 0. Let b = 4 + f. Let c = b + -4. Solve k - 4*v + 16 = 0, -4*k - v - 8 = -c*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 16 = 0, 4*l - 4 = -3*r + 18. Let f = r + -18. Is 16 a factor of (-7)\/(-2)*(-6 - f) - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w, 1 e, and 1 u when four letters picked without replacement from {u: 3, w: 6, e: 4}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 136818 and 86262?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 254661022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 159 + 16. Let t = 29 + k. Round t to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3203*j**2 + 3 - 3 - 3144*j**2.\nAnswer: 59*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -202.784212 to 0 decimal places.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -30*b. Let r(s) be the second derivative of -4 + 2*s + 1\/3*s**3 + 0*s**2. Determine p(r(f)).\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-53 - -55)*((-5)\/2 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0482234112 rounded to five decimal places?\nAnswer: 0.04822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w + 30 = -90. Let f = 5 + -3. Calculate the lowest common multiple of f and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135 is divided by 119.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/7 or -18?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -666712?\nAnswer: -66670c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fourty-five quarters of a kilometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 2:49 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 - 1. Let l be j(-1). Suppose 3*f + 6 = 3. Let d be (-2)\/(-4)*(f + -1). Which is bigger: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:25 AM and 2:28 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 204*w - 1067 = 6281 + 1129 - 1541 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-16*5\/(-30))\/(2\/3). Let h(f) be the third derivative of 0*f**3 + 0*f - 1\/8*f**m + 0 + 23*f**2. Determine h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c**4 + 164*c**3 - 1273*c**2\/2 - 699*c\/2 - 45 = 0. Calculate c.\nAnswer: -1\/4, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.01, 4, -0.3, 120, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00037183 rounded to 5 decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2482 (base 9) to base 5.\nAnswer: -24411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 3*b**2 - 2*b - 3. What is c(-5)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 42\/12096*-18 + 1186*(-4)\/(-128)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**2 + 7*n - 6. Let j be q(-8). Suppose o + 15 = -3*g - j*o, 3*o = 3*g + 15. Let h = g - -2. Is -18\/11 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -0.091.\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of -z**4\/4 - z**3 + z**2 - 4*z + 9. Let v = -11 - -7. What is h(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4727*j - 7*j**2 - 881*j - 868*j - 881*j - 2097*j.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (77\/4)\/(-7) - -2. What is the biggest value in m, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 + 6*n. Let l be c(4). Suppose l = -2*y - 2*b + 4*b, -4*y - 2*b = -2. Let a = 0 - y. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 96?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffgfffgggxgfffg. Give prob of picking 1 x and 1 f.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0539305097 to 4 dps.\nAnswer: -0.0539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4 + 1\/(-2)*3158)\/(-1). Suppose 2*n + 519 = 3265. Suppose -5*d = 0, 4*o - l = 5*d + n. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/3)\/q**6)\/(q**(2\/11)\/q*q*q*(q*q**1)\/q) assuming q is positive.\nAnswer: q**(-292\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -19 + (78 - (-6 + (4 - 1 - 18)))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0543 - -0.4457. What is the second biggest value in 7.7, v, 0.08?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 2*i. Let b(q) be the second derivative of q + 0 + 0*q**3 + 0*q**2 + 1\/2*q**4. Give x(b(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.603 + 0.274. Let f = w + 1.329. Let l = -14.8 - -15.69. Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*s**4 - 15*s**4 - 21*s**4)*(s - 3*s + 0*s + (-s + s - s)*(1 + 4 - 3) - s - 3*s + 0*s).\nAnswer: 456*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6973 + 6973. What is the biggest value in 173\/2, y, 1\/5?\nAnswer: 173\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 4) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -d**4 + 23*d**2 - 3 - 26*d**2 - 2 + 4*d in the form a*d**4 + k*d**2 + q*d**3 + b + p*d and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of -35*m**3\/6 - 7*m**2\/2 + 71*m. Let k(o) = 12*o + 2. Let z(n) = -7*k(n) - 2*y(n). Let c(d) = 5*d. Determine z(c(h)).\nAnswer: -70*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003191355 rounded to 6 decimal places?\nAnswer: -0.000319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -29\/5 bigger than -2.3826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 19542207 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 884 and 29741738?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-34))\/((-72)\/612)*-30.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.736 + 1.136. Which is the nearest to 2\/7?  (a) o  (b) -0.1  (c) 7  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 83*x**2 + 6*x - 5. Let b be a(5). Round b to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20 - -97. Let w = -77.0164 + z. Round w to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -898*d**4 + 182 with respect to d.\nAnswer: -3592*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t. Let b(h) = -h**2 - 7*h - 9. Let d be b(-3). Let v(x) be the second derivative of 0*x**2 - 13*x - 1\/2*x**d + 0. Determine v(q(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45223 (base 15) to base 4.\nAnswer: -311223102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 409 divide 94136083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 39 = -4*l. Let z = -18 - l. Suppose -4*m = z - 1. Put 0, m, -4 in increasing order.\nAnswer: m, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -221*t + 39*t = 23*t - 615 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 h when two letters picked without replacement from ihqiivqhmqnmvh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 PM and 1:50 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32500651 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 1133 - 111*c**4 - 48*c**4 + c**3 - 356 - 11*c + 160*c**4 in the form m*c**2 + q*c + i*c**4 + l*c**3 + h and give h.\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -5*r**2 + r**2 + 0*r**2. Let s(t) be the third derivative of t**6\/360 - 14*t**3 - 53*t**2. Let h(k) be the first derivative of s(k). Give h(f(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33950 = -31*h - 4*h - 82180. Is 0.02 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 3*c = -0*a + 17, 4*a - 32 = 3*c. Let m = 9 - a. Let f(b) = -b**2 + 7*b + 3. Let i be f(m). Calculate the greatest common divisor of i and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2. Let m(d) = -23*d**2 + 2*d. Let n(x) = 620*x**2 - 55*x. Let w(z) = 55*m(z) + 2*n(z). What is w(h(p))?\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 133*x + 130*x = -5, -3*t - 5*x = -18. Let k = -6938007\/70 - -99116. Let n = -4\/35 + k. Put 0, n, t in ascending order.\nAnswer: 0, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) 3  (c) -35  (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.1 + 1.9. What is the closest to c in -1\/9, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*l + 6174 = 52*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/19, 0.19, -13316?\nAnswer: -13316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 856*l**6 + 27*l**2 + 13*l wrt l.\nAnswer: 102720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - 8. Let s be (-4)\/b*(-3)\/3. List the prime factors of (s\/6)\/((-1)\/(-9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2734579989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.1 + -0.9. Let t = 143\/42 - 23\/6. Sort w, -0.01, t in increasing order.\nAnswer: w, t, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -566935, -566917, -566875, -566797, -566671, -566485?\n\"Answer: 2*h**3 + 4*h - 566941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of o**4\/12 - o**3\/6 + 94*o**2 - 2*o. Let j be z(0). Let r = -121 + j. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*m**4 - 208*m**3 + 2804*m**2 - 5000*m + 2400 = 0. Calculate m.\nAnswer: 1, 20, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -87771*t - 16852046. Calculate i(-192).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 715619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 54497 times -0.087?\nAnswer: -4741.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 6  (b) 2\/3  (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from xnnxxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkg when three letters picked without replacement from {k: 5, g: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((2 - -5) + -3)*-343. Suppose 0*f - 3*f + 9816 = 0. Let m = f + q. Round m to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {i: 1, b: 3, h: 1, p: 4, y: 9}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 0. What is the derivative of -p + 3*o**2 - o - o + 2*o wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -61 + 62. Let n(l) be the first derivative of 2*l - a + 0*l**2 - 2\/3*l**3. Factor n(o).\nAnswer: -2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3 - 136*r**2 + 134*r.\nAnswer: 2*r*(r - 67)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**5\/3 + 2*g**4\/3 - 2*g**3 - 10*g**2\/3 - 4*g\/3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/8)\/(3\/36). Let m = 5 + t. Let v be (-2 - m)*(-14 - 3). What is the greatest common divisor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35221 (base 6) to base 3\nAnswer: 20221011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 197, 196, 195, 194?\n\"Answer: -j + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the third derivative of 1339*n**6\/120 + 721*n**5\/60 - n**2 + 1946*n. Find the third derivative of h(i) wrt i.\nAnswer: 8034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -16 in -10, 279\/10, 2\/3, -2\/3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -3 - 3 - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002747583 rounded to 7 decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 14 + 30*s - 9 - 10.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3 + 3 = 0. Suppose y = 4*c + 2*c - 24. Suppose 0 = 3*a - c*w - 238, 3 = -5*w - 2. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 31 - 31 - 53*z**2 - 3*z + 3*z - 2*z**2 + (0 + 1 + 0)*(-3*z**2 + z**2 + z**2) - 2 + z**2 + 2.\nAnswer: -55*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 38*z - 7*z + 21964 = 0. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = -5*q - 11, 929 - 928 = -15*q - 4*n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 43431, 12, -1, -8 in decreasing order.\nAnswer: 43431, 12, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1168*m + 449*m - 89280 = -185*m - 430*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 151290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 126 = -4*y + 96, -y = 4 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233.05527 months to millennia.\nAnswer: 0.0194212725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 < 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5376073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -566 - -206. Let o = q - -359. Let m = 6685\/7228 + -1\/556. Is m greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10798.\nAnswer: 2, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p**3 - p**2 + p**2)*(-15 + 13*p**2 + 15) - 63*p**5 - 4*p**5 + 3*p**5.\nAnswer: -77*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r - 4*r - 4*r - r - 2*r + r - 2*r - 4*r + 7*r + (2 - 1 + 1)*(-6*r + 4*r + r) - 7*r + 2*r + 3*r)*(4*r + 3*r - 4*r).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -147 rounded to zero decimal places?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4, 8.\nAnswer: -4, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -82 in -476, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 5*t = -7, 3*z + 36 - 21 = -3*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30 - 21. Let o(m) = 3*m - 8. Let y be o(4). Let u = y - 4. Which is the third smallest value?  (a) 1  (b) i  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45 - (-21 - (-7462)\/104).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {l: 1, w: 1, k: 2, i: 2, s: 1, t: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -292 in -5, 2\/201, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2\/(16\/(-6))*(-48 + -4) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1126, -4, -2, -1, 7.\nAnswer: -1126, -4, -2, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 5*w**4 - 135*w**3 - 435*w**2 - 445*w - 150 = 0.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 48.77058 and 28?\nAnswer: 20.77058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -4717*h - 78. Let f(r) = -4*r**2. Calculate u(f(t)).\nAnswer: 18868*t**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2a8c0 + -84?\nAnswer: 2a839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8583 - -17?\nAnswer: 8611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, f: 3, a: 4, p: 7}. Give prob of picking 2 a and 1 b.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 6*t**3 - 15*t**2 + 6*t = 0?\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**23\/w*w*w)**4\/(w**(-26)*w*w\/(w\/(w**(-21)*w))) assuming w is positive.\nAnswer: w**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1575577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42 + -9 - 39 - (-3 + -13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lr when two letters picked without replacement from {v: 2, y: 3, l: 3, q: 1, g: 2, r: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -63 + 22. Suppose 31*q + 27790 = y*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnnnxnlxxlhnfnzn. What is prob of picking 2 l, 1 f, and 1 n?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19656 + 98278\/5. Which is the nearest to v?  (a) -1\/4  (b) -4  (c) 38  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.82 - 4. Let x = o - -10.18. Let h = 10.3 - x. Which is the biggest value?  (a) -1\/3  (b) -1\/6  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 - 15\/3)*-2. Let w = r - 6. Let o be ((-4)\/2)\/w*3. Solve 0 = -4*d - 3*h + 1, 5*d + h + o*h - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98*o**2 + 35*o**2 + 165130*o + 36*o**2 + 24*o**2 - 165130*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00007900171 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*s - 57*s - 3*t = -12, -4*t + 16 = 0. Determine q so that -1\/2*q**2 + 1\/2*q**4 + 0*q + s*q**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2608 divided by -3?\nAnswer: 2608\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/309240 and 41\/11232.\nAnswer: 48241440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6791*p + 995*p - 5491*p + 1928*p + 20 - 18.\nAnswer: -9359*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*h - 3, 4*u - 15 = 14*h - 13*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 314128, 628121, 942114, 1256107?\nAnswer: 1570100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 - (-14)\/(-6))*(5 - 2). Suppose -u*v - 2 = 0, 4*r - 5*v + 1215404 = 4287409. Round r to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.807626 years to months.\nAnswer: 45.691512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-4\/5)\/p)\/p**(-13) assuming p is positive.\nAnswer: p**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.87661755 rounded to 3 dps?\nAnswer: -0.877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-84)\/18*33*-11. Suppose 4*w = -t + 6*t - y, 0 = -w - 1. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5)*-2*-1*-3 - (sqrt(20) + 0 + 5))**2.\nAnswer: 80*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30052.\nAnswer: 2, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 374877 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -36, -2, -1 in increasing order.\nAnswer: -36, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u - 88. Let y be w(0). Let p = -69 - y. Solve p = -j + 4*i, 4*i = 5*j + 3*i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 0*y + 5*q = 1, -4*q = 5*y - 50. Suppose 3*z = 2*z + y. Calculate the least common multiple of z and 2 - 0 - (1 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21802 + 89702 = 24*z. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1913?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 9:56 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 39.994 + 0.006. Let f = -18 + q. Let h = 22.06 - f. Which is the biggest value?  (a) -3  (b) 5  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178437 is divided by 59106.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 13011 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(175) + (sqrt(175) - (sqrt(175) + -2 + 0)))**2 - (((sqrt(175) - 1*sqrt(175)) + sqrt(175))*1)**2) + (5*-2*(5 + sqrt(175)*-2))**2.\nAnswer: -9980*sqrt(7) + 72504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 2*u. Suppose u = 3*d - 0 + 3. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 14992.6 + -14993. What is the third smallest value in f, 0.1, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2073153 (base 9) to base 2.\nAnswer: 100001111010001010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -67*d**2 - 31331*d + 31398.\nAnswer: -(d - 1)*(67*d + 31398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-2) - 140571\/2. Let r = q + 48506. Let h = r + 14579. What is h rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**4\/3 - 39476*z**3\/3 - 161249234*z**2\/3 + 110352157824*z - 46886372038656 = 0. Calculate z.\nAnswer: -10656, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (9\/18)\/((2\/(-36))\/(-1)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 366763066?\nAnswer: 2, 17, 1297, 8317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2\/7)*h*h)\/h*h*h\/(h\/(h*h\/(h\/(h\/((h**6\/h)\/h)))*h*h)))**(2\/5)*(h*h**1)\/(h\/h**(-1\/3))*h**(1\/5)\/h**(2\/9) assuming h is positive.\nAnswer: h**(419\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/23648 and 41.\nAnswer: 23648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*j - 31 = 3*d - 5*j, -4*j + 12 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + (-17 - 5) - (20 - 23)) + 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/4  (b) -1951  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -328454, -328010, -327274, -326252, -324950?\nAnswer: -323374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(60)\/sqrt(972)*-6.\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-12)*(-258)\/172?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of d**7\/12600 + d**6\/900 + d**5\/150 - d**4\/24 + 2*d**2. Let v(a) be the second derivative of t(a). Factor v(u).\nAnswer: (u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 257*m - 1225 = 221*m - 505 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 625927854 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, j: 4, y: 4}. Give prob of sequence jyyf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 9, -5*l - 661 = -5*f + 1789. Suppose 0 = -0*c + 3*c + k - f, -5*k = -5*c + 805. What is the tens digit of -1*(c\/2)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of h**4\/12 - 7*h. Let l(s) = -25*s. What is v(l(d))?\nAnswer: 625*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -61, 136, 309, 458, 583, 684?\n\"Answer: -12*j**2 + 233*j - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -32*s**3 + 33*s**3 + 8*s**2 - 12*s + 3*s + 7 - 4. Let t be w(-9). Solve -t*z - 5 = 2*a, 5*z - 3*a = 4*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.1, -0.5506, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 148799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -9836, -19642, -29426, -39188?\n\"Answer: 11*t**2 - 9839*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 5 - 9 = 2*s, 4*m - 7 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 240  (b) -27  (c) -2821\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.073 take away -19.9?\nAnswer: 19.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -443 and 47.4.\nAnswer: -20998.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m**2 + 30 + 8 - 997025*m**3 - 2*m**2 - 2*m + 997083*m**3 to the form p*m**2 + y*m + g*m**3 + t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 14879375923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -155380000 rounded to the nearest 1000000?\nAnswer: -155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -235 + 291 - (-2 - -33)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 + -3. Let i be -1 + (2 - v - 2). Suppose -14 = -3*q + o, -4*q - 2*o = -o - i. Let x(g) = g**2 - 6*g - 8. Calculate x(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + 40. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 10:40 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h - 3. Let d be a(-5). Suppose 2*q + 3*s - 1 + 9 = 0, 16 = d*q - 3*s. Suppose -5*o + 3*k + 15 = 0, o - 2 = q*k + 1. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20104484?\nAnswer: 2, 23, 218527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/12 and -50*(-5 - (-70)\/15).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 506, 1003, 1488, 1955, 2398, 2811, 3188?\n\"Answer: -z**3 + 504*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 - -10. Let a(k) = 7*k**2 + 5*k. Let z(s) = 3*s**2 + 2*s. Let x(t) = u*a(t) + 5*z(t). Let i(g) = -18*g. Give x(i(q)).\nAnswer: 324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/(-1) + (-1 - 0). Suppose -25 = -5*k - 0*k. Suppose -6*g + 5*g + k = 0. Solve -5*j = -g*w - 0*w, w = -n*j + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22207 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -184 by -4.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 10 - 32 - (2 - (5 - 0))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -9*z. Let w(r) = -12380*r. Determine w(o(p)).\nAnswer: 111420*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 125.9 + -117. Let v = w - 8.6. Which is the nearest to -0.1?  (a) -4  (b) v  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-117 - -45) + 5 + -9 + (2 - 3)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 48 = 3*g, 11 = -3*p - 2*g + 59. Suppose 4*y - 2*h = 36, -4*h + 0 = 3*y - p. Calculate the greatest common divisor of y and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of n**4\/8 - 241*n**2. Let x(p) = -16*p - 1. Determine -11*k(h) - 2*x(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 127?  (a) -13\/8  (b) 0.3  (c) 2\/11  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1176 + -0.0176. What is the nearest to -0.1 in -1, 2, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 250*m - 6287. Let c be z(23). Let s(g) = g**2 + 1. Let p be s(0). Sort p, c, -2 in decreasing order.\nAnswer: p, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*w - 2*k, 27 = -3*w + 3*k - 0. Let l = 81 + -74. Let v = -21 - -20.9. Which is the fourth biggest value?  (a) l  (b) 4  (c) w  (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -5*i - 2*c, 97*i - 38 = 101*i - 3*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*a**3 - 2485*a**2 + 2485*a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q**3 - 7*q**2 + 17*q - 93. Is w(6) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77.19693mm to nanometers.\nAnswer: 77196930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1801255 and 2325?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -0*l + 4*l + 2*p, 5*l - 5*p - 5 = 0. Let q(v) = -v**2 + 12*v - 8. Let i be q(11). Suppose -2*o = 3 + i. Sort -4, l, o in decreasing order.\nAnswer: l, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 50 + 6*f + 4*f + 5*f + 59 to p + k*f and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*x + 32 = 108. Let t be (-96)\/(-238) + (-95)\/(-35) + -3. What is the nearest to x in t, -3\/2, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -254 (base 8) to base 14\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k - k + 2*k)*(2*k - 5*k + 2*k) + 0 + 0 + 2*k**2 + (72 - 72 - 6*k)*(-300*k + 347*k + 418*k).\nAnswer: -2787*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 - 3*r**2 + 4*r - 5. Let i be z(-5). Suppose i = 5*n - 85. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 110554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(-3 - 30\/(-9)). Solve g = -2*w + w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -132*y - 91*y**2 - 2 + 0 + 92*y**2 + 135*y. What is j(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2880630 greater than 2880630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3.08849 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 3*d - 7. Let u be x(4). Suppose n - 125 = -u*b, 48 + 74 = n + 2*b. Let a = 174 - n. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -70 + 70 + 3*r**2 - r**2 - 1 + 1 - 2 + 2 - 2*r**2 + (-2*r**2 + 0*r + 0*r)*(-2 + 2 - 1) + 0 + 2*r**2 + 0 + r**2 + 2*r**2 - 6*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 13*p + p**2 - 3*p - 2*p)*(0 + p**2 + 0).\nAnswer: p**4 + 8*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 + 2*t**2 + t**2)*(2 - 1 + 1)*(0 - 113*t + 16 + 114*t).\nAnswer: 4*t**3 + 64*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 33833.16 rounded to the nearest one hundred?\nAnswer: 33800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 256, 1002, 2236, 3958, 6168, 8866, 12052?\nAnswer: 15726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142669?\nAnswer: 23, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (8 + -8 - 3) + -1 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18517, -36997, -55477?\nAnswer: -73957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10069 - -10079. Let v(g) = 7*g - 44. What is v(c)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 73 - 5 = 0. Calculate the remainder when 65 is divided by c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - 19 - (3 + -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 3*y = -1532, -4*z + 5*y = z - 1500. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**4 + 4*h**3 + 9*h**2 + 5*h**3 + 16*h + h**4 - 13*h.\nAnswer: 3*h*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**18\/((j*j**13*j*j)\/j))\/(j*j\/(j**11\/j)*j)**26 assuming j is positive.\nAnswer: j**185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 33 = -3. Let f(u) = -11*u + 60. What is the tens digit of f(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3464953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -970, -1935, -2900, -3865?\n\"Answer: -965*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 300 = -5*v, 4*v + n = 2*n - 251. Let d be (-4 - v\/14) + 4\/(-7). Solve -l + d*l = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -2. What is the third derivative of c + 2*c**6 - c - c**2 - 2*c**o wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 486d0?\nAnswer: -486d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10501 - 11?\nAnswer: -10512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2 - 67*y**2 + 17*y + 9 + 68*y**2 + 13. Let d be g(-17). Differentiate -2*s + 2*s + d*s**3 + 140 - 156 wrt s.\nAnswer: 72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r\/((r*r**2)\/r))**(1\/22)*(r*r*r**(-2\/3)*r*r)**(-18))**(1\/9) assuming r is positive.\nAnswer: r**(-1319\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 37652183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2452 = -656*x + 2140 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: 16\/4*(-5)\/510*3\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -1017?\nAnswer: -508.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/156 and 101\/368654.\nAnswer: 2211924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = 2*y + 19. Suppose -n = -6*n + y. Calculate the greatest common factor of n and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9101?\nAnswer: 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 145 + -312. Is 0 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(1\/4))**(-36\/5)*(z*z*z*z**0*z)\/z**7)**45 assuming z is positive.\nAnswer: z**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**5 + 8*l**4\/3 + 32*l**3\/3 - 12*l**2 - 26*l\/3 + 28\/3 = 0. What is l?\nAnswer: -2, -1, 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 85328, 2\/11, 7, 0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*o - o + 3*o)*(-1 + 1 + 5*o**2) + 3*o**3 - 3*o**3 - 2*o**3 - 57 + 94*o**3 + 217*o**2 - 219*o**2 - 91*o**3 as r*o + h*o**2 + q + p*o**3 and give q.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z**2 + 18*z + 60. Let u be c(19). Let a = 45 - u. Suppose -i + 3*i = s + 28, 0 = -i - 2*s + a. What is the remainder when 46 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -100500517, -201001037, -301501557, -402002077, -502502597?\n\"Answer: -100500520*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/2*(-1)\/2. Let i(k) = k**5 - k**3 + k**2. Let n(j) = -4*j**5 + 3*j**3. Let y(a) = c*n(a) - 3*i(a). Find the third derivative of y(u) wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -225928*a**2 + 2 + 225928*a**2 + 2540*a**3 + (0 + 0 + 2*a)*(a - a**2 - a).\nAnswer: 2538*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(40)\/(sqrt(192)\/sqrt(6)) - (-5*sqrt(405))\/((2*sqrt(9) - sqrt(9))*-1))**2.\nAnswer: 3125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -4*k**4 + 6*k**3 + 4*k**2 - 6*k + 6. Let l(r) = r**4 + r**3 + r**2 - r + 1. Let s(n) = 6*l(n) - x(n). What is the third derivative of s(d) wrt d?\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*h**6 + 2*h**5 - 10*h**4 - 604*h**2 - h - 7 wrt h.\nAnswer: 600*h**3 + 120*h**2 - 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(4\/6*(-162)\/144*12\/96)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.2  (b) -1721  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 968 or 969?\nAnswer: 969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -218, -276, -334?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 104182 = 104180, 0 = -5*k + 22*g + 94 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - l - 143. Let j be n(0). Let i = -41 - j. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -58.44 + 59. Let r = y - 0.46. Which is the third smallest value?  (a) 2\/25  (b) r  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - -2 - (-12 + 6)) + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*g - 3*g + 3*g)*(-1 + 3 + 1) - 41 - 66*g + 43 - 3.\nAnswer: -96*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2698?  (a) 1\/6  (b) 1\/4  (c) -3\/5  (d) -10\/7  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.125585 >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of -9*g**6\/2 + 5*g**3\/3 - 1. What is the third derivative of r(d) wrt d?\nAnswer: -1620*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -312*t**3 - 102*t + 9501*t**2 - 108*t**4 - 2*t**5 - 19443*t**2 + 9634*t**2 = 0.\nAnswer: -51, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 o, and 1 g when three letters picked without replacement from ogaoabt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of v**4\/72 - 3*v**3\/2 + 26*v**2\/3 - 3503*v. Factor l(p).\nAnswer: (p - 52)*(p - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + o = 20, 2*t + 2*o = -12. Let z be 0 - -2 - (-2)\/t. Let j = z + 1. Solve -j*w = w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifty-one fifths of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 651*n + 31522 + 33178 - 6327 - 5642 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**3 - 3*r**2 + 5*r + 1. Let k be j(-4). Let c = -31 - -41. Let i = c + -31\/3. Put -3\/2, k, i, -2\/9 in decreasing order.\nAnswer: -2\/9, i, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.895838 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*(k*(k\/(k\/(k*k*k*k*k*k*k\/(k\/(k**(2\/7)*k))*k*k)))\/k*k)\/k*k*k)**(19\/4)\/(k**(-5)*k**(2\/3)))**(1\/14) assuming k is positive.\nAnswer: k**(2633\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/(1 + 2))\/(74 - 79). What is the nearest to 0 in d, -1, -3\/7, 2\/179?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8\/(-12))\/((-81)\/4617). Solve -m = -g + 32 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 3*q**3 - 2*q**3 + 137*q - 136*q - 11*q**2 + 0*q**3 + 12*q**2. Let l(w) = 4*w**3 + 20*w**2 + 2*w - 1. What is -2*a(n) + l(n)?\nAnswer: 2*n**3 + 18*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of -545*m**6\/6 + 95*m**2 - 266. Find the second derivative of c(v) wrt v.\nAnswer: -10900*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -75.1, -1\/7, -0.357, -0.03, 0, 5, -0.4?\nAnswer: -0.357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5, 6, 21, 40, 63, 90?\n\"Answer: 2*n**2 + 5*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 205820658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 234 and 1664100?\nAnswer: 21633300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 AM and 5:00 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-39)\/52 + 30\/8. Suppose -5*d + 50 = 15. Let a(y) = y - 2. Let g be a(d). Solve -f*o = -2*o - g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8.372 + 8.2. Let g = -0.862 - d. Let h = 0.31 - g. Which is greater: 1.5 or h?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 22 - 11 = 0. Let r = 1 - a. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -8*i**4 + 2*i**3 - 392*i**2?\nAnswer: -192*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2 - 237*k**3 - 31*k**2 + k**5 - 309*k + 367*k + 11*k**4 + 222*k**3 + 9 - 31.\nAnswer: (k - 1)**3*(k + 2)*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*t = -123*t + 218 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the first derivative of 5*m**3\/3 + m + 5. Let j be c(-1). Suppose -t - j*t = -1631. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 - 18*s + 203. Determine z(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - (-5)\/(-1630)*-54. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (36\/5 + -7)*15 + -11 - -5. What is the third biggest value in 107, -1, k, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 260, -4, -0.3, 4\/3, -26.\nAnswer: -26, -4, -0.3, 4\/3, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -2*p**3 - 3*p**2 - p + 2. Let k be g(1). Calculate the common denominator of (-5)\/360*-116*k and 56\/39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 6*u**2 - 2*u - 8. Let f be q(-6). Suppose 5*o + 18 = f*d + 5, -10 = -o + 5*d. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (8 - 3) + 4 + -5 and 158.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 - 30*n + 81. Let x be j(28). Suppose -4*w + o + x = -3*w, -3*o = 3. Calculate the remainder when 86 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-14375)\/(-50)*8\/10 + 4?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000008256294 rounded to seven decimal places?\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 696, 1386, 2074, 2760, 3444?\n\"Answer: -t**2 + 693*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m + 0*m + 4*m)*(-2 + 2 + 1) + (-1 + 4 - 1)*(6*m - 6*m + 9*m) to the form a*m + g and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-1 + sqrt(6)\/sqrt(2))**2 + sqrt(3)) - (-2 + sqrt(48) + 1 + sqrt(48))**2.\nAnswer: -205 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -71 - -85.8. Let s = -16.8 + z. Let p = -1 + 0.9. Which is the nearest to -1\/4?  (a) s  (b) 4  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 - 3*m + 1. Let b be l(4). Let z be (-2)\/b + (-34)\/(-10). Differentiate 4*w**3 + 2*w**3 - 1 - w**3 - 2*w**z with respect to w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**3 + 0*l**3 + 3*l**3 + 3*l**2 - 3*l**2 + l**3 - 2*l**3 - 4*l**3 + 5*l**3 + (-2 + 0 + 0)*(2*l**3 + 3*l**3 - 4*l**3).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 197527*k**2 + 615617 - 197515*k**2 - 615617.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 898*k - 833. Does 21 divide l(64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 - 1)*(0*u - 4*u + 5*u)*(2417*u + 489*u**4 + 3*u**2 - 2417*u).\nAnswer: -1956*u**5 - 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1228, 2440, 3808, 5326, 6988, 8788?\n\"Answer: -u**3 + 84*u**2 + 967*u + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5.051 and 0?\nAnswer: 5.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 7 = 9. Let a = -2.073 + 0.073. Let g = 0 + a. What is the smallest value in g, d, -0.09?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 522130584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 - 2. Let p = o + 1. Sort p, -5, -2 in increasing order.\nAnswer: -5, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -248, -0.4, -2.144, 0 in ascending order.\nAnswer: -248, -2.144, -0.4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 29 = -3*h + 6*q, -2*h + 5*q = -8. What is the greatest common factor of h and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -t - 255 + 260 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 363.8723 years in millennia?\nAnswer: 0.3638723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from etrps.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 4.04872nm?\nAnswer: 0.00404872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 512225653?\nAnswer: 67, 7645159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 40, 24, 1, 6, -73, 3.\nAnswer: -73, -4, 1, 3, 6, 24, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3001 (base 4) to base 11\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -240 + -71 + 252 + (-1 + (-1 - -2) - 0).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -583*b + 1749. Let k be n(3). Solve -4*o + 6*m - 9*m - 27 = k, 0 = 4*o - m + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of y**5\/30 + 4*y**2. Suppose 4*n = 49 - 1. Let d(h) = n*h**2 + 11*h**2 - 27*h**2 + 9*h**2. Calculate k(d(p)).\nAnswer: 50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*k - 9*k + 1. Let d = k - -6. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (33\/11 - 4)*-8. Solve c = 13*a - 9*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37140\/(-8666)*(36 - -13)\/(-3 + -2).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - 8*y + 19. What are the prime factors of j(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1916 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -25?  (a) -3\/7  (b) -792  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9852 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 394973183*m**2 - 535919123 wrt m?\nAnswer: 789946366*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**2 - 7*i + 10. Let s be p(5). Suppose 7*o + 130 + 101 = s. Let q = -18 - o. Solve 9*k = 4*k - q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -r*t + 243*r - 584*t wrt r?\nAnswer: -t + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 17760*a + 413. Is i(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 14*k**2 + 15*k + 3. What is the remainder when r(3) is divided by (-2)\/11 + (-5540)\/(-220)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -133 = -2*y - 119. Find the first derivative of 2*u + 288*u**4 - 284*u**4 + y - 1 wrt u.\nAnswer: 16*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -109*u**4 - 2735*u**2 - 7949894 wrt u.\nAnswer: -436*u**3 - 5470*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100.274 microseconds to milliseconds.\nAnswer: 0.100274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 + 15 + 13 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (264\/1320)\/(117\/(-26))*2\/(-4)\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -55*m**2 + 7*m + 10. Let q(g) = 18*g**2 - 2*g - 3. Calculate -2*k(f) - 7*q(f).\nAnswer: -16*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-45)\/(-76 - 90363\/(-1183))\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2111710 and 12690.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 409 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 4*f + 28450, 4*g + 10618 = 5*f - 12142. Calculate the common denominator of g\/1200 - (-2)\/(-15) and 39\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 + 2*j + 3. Suppose 0*d = -3*d + 3. Let l be (6\/(-9))\/(d\/6). Let r(a) = 2*a + 5. Let w be r(l). Calculate h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 + 6*o**2 + 226*o - 316. Determine a(-13).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-48)\/(-30)*-1)\/((12\/10)\/3). What is the closest to -5\/2 in 1.7, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - 5*-2*sqrt(77))\/(sqrt(99)*-3) - (sqrt(343) + 0 + 3 + -3))**2.\nAnswer: 38332\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7540 divided by 5.\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 1220*s - 15888. Calculate p(13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 divided by 25239.\nAnswer: -29\/25239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 4*t**2 - 2 - 4*t + 0*t - t. Let u be j(4). Suppose s - 2*s = -u. Calculate the greatest common divisor of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7\/4)*b\/b**(-1\/37))\/(b\/(b*b**(2\/33)*b)*b*(b**12*b)\/b*b) assuming b is positive.\nAnswer: b**(-66727\/4884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/10*146\/438.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, t: 6, i: 3, r: 4}. Give prob of picking 2 l and 1 i.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2, 0, 1617?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 54*k**2 - k. Suppose -4*x = -a - 4*a - 16, -4*a = -3*x + 13. Let f be (-11)\/(-13) - a\/26. Is m(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 184, 215, 248, 283?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**3\/7 + 746*n**2\/7 - 1506*n\/7 - 2250\/7 = 0. Calculate n.\nAnswer: -375, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32092 and 10961.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1220.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-20)\/25)\/(-1)*-5. Let c(x) = -x - 7. Let o be c(-9). Suppose o*z - 3 = z. Sort 2, l, z in increasing order.\nAnswer: l, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**2. Let l(o) be the second derivative of -19*o**4\/12 - 14*o. Calculate l(s(w)).\nAnswer: -19*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1399963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*b + 2207 = -1289. What is the remainder when b is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12468 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: Suppose 5*o - 35 = 5*x - 0*o, 0 = 4*x + 5*o + 73. Let l be (0 + 0)\/(12\/x). Suppose -s - 3 + 6 = l. Let j(u) = -2*u + 4. Calculate j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3482516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**11)*f*f**(2\/3))**(-10) assuming f is positive.\nAnswer: f**(-380\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 619 + -631.68. Let d = 0.32 - m. Put -5, -1, d in ascending order.\nAnswer: -5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 + 73 = 3*l - 5*v, -3*l - 2*v = -8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 24866.\nAnswer: -1\/12433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of x**6\/120 + x**5\/5 + 10*x**3\/3 + 6*x**2 - 12. Let q be z(-12). What is the highest common divisor of 920 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes before 12:35 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 74.2 + 22.3. Let n = i - 87. Round n to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**3 + 1497*x**2 + 559503*x - 561001 = 0.\nAnswer: -749, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 31, -3, -45, -95?\n\"Answer: -4*x**2 - 22*x + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-177948)\/(-10) - 12\/25*(-270)\/(-162) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 61 + 22 = 9. Let m = 24 + -16. Calculate the highest common divisor of r and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*g + 75*g + 86 = 9 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*r + 4*r**3 - 29*r**2 + r + 3 + 10*r**2 + 20*r**2 to w*r**2 + i*r + h + o*r**3 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**2 + 58*n + 9. Let p be r(57). Calculate the greatest common divisor of 814 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 AM and 10:10 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 440 and 16390?\nAnswer: 65560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 9:04 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b**2 + 12*b - 1. Let v be h(5). Let q be 2196\/(-6)*(-6)\/v. Suppose 0 = -3*g + q - 16. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of m**5\/40 + 5*m**4\/4 + 16*m**3 - 128*m**2 + 3*m + 11. Solve x(l) = 0 for l.\nAnswer: -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 - (2 + 1 + 2). Let t be s*(-1)\/(-2) + 3. Solve 0 = -t*g + 7*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57952 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5478, 5483, 5500, 5535, 5594, 5683?\nAnswer: 5808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {d: 2, c: 2, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -589 - -587. Let l(d) = 4*d**3 + 2*d**2 - 2*d. Let c = -2 + 1. Let y(s) = -s**3 - s**2 + s. What is c*l(g) + z*y(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - -1 - -2) + 198. Let s be (-50)\/10 - -8 - 0. What is the highest common divisor of w and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 178666*c**2 - 13*c - 33. Let q be d(-15). Suppose -q = -2*j - 3*y, -5*j + 82886713 + 17613271 = -4*y. Round j to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/5 - (-427)\/(-5). Let f(i) = -10*i**2 - 2*i. Let j be f(-4). Let z = l - j. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 2*z + 16674 = 16688, 2*h = -4*z - 20 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2103 + -1410. What is the smallest common multiple of h and 756?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3495 - -3494.2469. Let d = 182.24 + -183. Let v = f - d. What is v rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 485\/162 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 29\/(29\/10) + (-22 - -5). Sort -0.03, -0.4, 1, u, -0.3.\nAnswer: u, -0.4, -0.3, -0.03, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 4*n = 22, 6*n + 30 = 3*g + 9*n. Solve 3*p = -t + 12, -2*t + 32 = 4*p - g*t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 75 + -46. Let n = 55184.0216 + -55213. Let m = c + n. Round m to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -3\/8  (c) 0.3  (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 99 - 19 - 13 + 3*o**2 + 96.\nAnswer: 3*o**2 + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26219 = -3*p - 20716. Let d = 7009 + p. List the prime factors of (d\/85)\/((-4)\/10).\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 68\/45615 and 46\/82107.\nAnswer: 410535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c**2*r**2*z - 164*c**2*r*z**2 - 16*c**2*r*z - c*z**2 + 13*r**2*z**2 - r**2*z + 16*z wrt z?\nAnswer: -328*c**2*r - 2*c + 26*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oocypcf. What is prob of picking 2 c and 2 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f**3 - 5*f**2 + 3190*f + 10. Calculate r(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 896*s**2 + 58*s. What is the hundreds digit of c(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 3:21 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.09104 times 3294.8\nAnswer: -299.958592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, t: 3}. What is prob of picking 1 m and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28 - 3) + (-2543358)\/(-17661) + -113.\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1\/3)*a)**(-50)\/(a**4*a**(-2\/7)) assuming a is positive.\nAnswer: a**(-778\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-136)\/(-12)*6*(2 - 0). Does n = 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccsccccccccsccsc. What is prob of sequence scc?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*u = h - 54*u - 16, -4*u - 48 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11.658 - 11.8. Let v = d - 2.858. What is the nearest to v in 5, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*v - 6*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 - 13*r - r + 13*r + 21 to u + w*r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -702*q - 2*q**2 + 702*q - 39 to the form u*q**2 + r + y*q and give r.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1223543, 1223619, 1223695?\nAnswer: 1223771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1)\/(7 - 26376\/3766) is divided by 137.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 5 = -0. Let m(x) = -x**2 + 15*x - 13. Let s be m(12). Suppose -5 = -24*g + s*g. Sort t, 2, g in increasing order.\nAnswer: t, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 8:35 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**3 - 391*j**2 + 3534*j = 0. What is j?\nAnswer: 0, 19\/2, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 15, u: 3}. Give prob of sequence upup.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**2 - 4156*t + 8322*t - 4166*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.53 times -0.2?\nAnswer: -1.106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:40 PM and 7:08 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 115523\/7630 + -1187\/70. Let t = 13745\/654 - m. Let u = -187\/42 - -23\/7. Find the common denominator of u and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 7*v - 4. Let f = -10 + 23. Calculate the remainder when m(4) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -14*f**2 + 72*f + 9120 wrt f?\nAnswer: -28*f + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 502864 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/3)*r*((r\/r**(-7))\/r)\/r*r*(r\/(r*r*r\/((r\/r**(2\/15))\/r*r)*r*r))\/r**(2\/3))**(-43))**28 assuming r is positive.\nAnswer: r**(-63812\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2\/13, 0.72, 38, 0, -1\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29169577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + 0*f - 4*f)*(-2*f + 3*f + 0*f)*(-7 + 4 + 0)*(1 + 6 + 1).\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1704630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-1*(-9)\/(-45)*-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 330186125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n**3 - 100*n**2 + 6*n - 30. Give f(-50).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 14 = -5*g, -4*g + 11*i - 4*i - 2542 = -2561 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2873?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - -15. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -38624062*l + 56994328?\nAnswer: -38624062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -26 - -10. Let y = w - -16.3. What is the closest to -0.1 in 0.4, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 13.9 and -18.7.\nAnswer: -259.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -36, 1.9, -2, 2\/11, -0.4?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 714449 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: Subtract 9 from -19.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, 1\/7, 1\/3, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 172817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -6.865. Round l to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12062400 divided by -168?\nAnswer: 71800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**3 - 5*j**2 + 5*j + 5. Suppose -18 = 6*k - 12*k. Let c be z(k). Solve c*t = 0, 8 = -3*n - n + 4*t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5061 - -5061.3464. Round v to two decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -73275, -73268, -73261, -73254, -73247, -73240?\nAnswer: -73233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*h**4 + 14*h**3 - 2*h + 17*h**4 + h**2 - h**2 - 5*h**4 - h**2 to b + i*h**4 + v*h**2 + k*h + c*h**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gxg when three letters picked without replacement from {x: 5, g: 11}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the first derivative of -16\/3*k**3 + 0*k + 19\/2*k**2 + 10. Find the second derivative of s(n) wrt n.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 AM and 9:53 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z**5\/2 - 5*z**4 + 21*z**3\/2 + 2*z**2 - 14*z = 0. Calculate z.\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 - i**2 + 0*i**2)*(11*i + 2*i + 8*i) + (-i**2 + 4*i**2 + 2*i**2)*(-i - 2*i + 0*i)*(-1 + 3 - 3).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 38 = 4*a + 36 + 73, 0*a - 2*a = 18*b - 14 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -8*u**2 + 18*u. Let s(q) = 24*q**2 - 55*q. Give -7*g(o) - 2*s(o).\nAnswer: 8*o**2 - 16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-7) - (-12)\/7. Suppose -5*c = 4*i + 19, q*c = -i + 2*i - 5. Let j be i\/(((-3)\/6)\/1). Solve -j*w = w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of -p**2 + 3*p - 2. Suppose -4*a + 12 = 7*r - 2*r, 3 = a - 2*r. Suppose 2*i - 20 = -a*i. Calculate t(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-50)\/6 + 1\/3. Let j be (m\/6)\/((-12)\/(-18)). Find the common denominator of -46 and (-146)\/16 - j\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 3*s + 14. Let l be w(6). Suppose 0 = 3*o - 4*y + 183, -2*o - 91 - l = -3*y. Let v = 170 + o. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.13894mm in centimeters?\nAnswer: 0.213894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8.98 - 9. Suppose 175 - 204 = 3*p + 4*h, 5*p - 5*h + 95 = 0. What is the fourth biggest value in 5, 0, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1490, 2977, 4464?\n\"Answer: 1487*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 3*k**2. Determine m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3822523 (base 9) to base 13\nAnswer: 57b6b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 171*b**5*q - 3*b**3*q + 1045*b*q wrt b?\nAnswer: 3420*b**3*q - 18*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = q - 2*q. Suppose q*s + 2*s = -2*z + 5242, -4*s = -3*z - 5247. Let v = s - 682. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -518, -4013, -13482, -31913, -62294, -107613?\n\"Answer: -498*m**3 + m**2 - 12*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -5*z - 3*s + 64, 2*z + 3*s - 22 = 0. Let n(h) = -2 - 6 - 38*h + z*h. What is the units digit of n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 69\/268 and -133\/2010.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3824384\/14046285 + -2\/65945. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 divided by 22.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 659724 divided by -50748?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(-40)*(-20)\/5. Let t be (-404)\/(-20) - 4\/(-5). Suppose 0 = -2*r - 5*b + t, 4*r - 5*b = r - 31. Is r < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 270047\nAnswer: 7\/270047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -96 - -123. What is the remainder when h is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 0)*(1 - 1 + 3)*(-3 + 3 - b**2) + 0*b**2 - 2*b**2 + 4*b**2 + (-26*b - 3*b + 0*b)*(-1 + 1 + b).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-516)\/(-172))\/((221\/(-51))\/((2\/(-6))\/(-1))).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.8 - -6.8. Which is the nearest to -1?  (a) t  (b) -10  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.5 and 40196378824944.\nAnswer: 40196378824944.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20*x**2 - 24*x**2 - 12*x**6 - 18*x**6 - 12*x**6 wrt x.\nAnswer: -5040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = m + 388. Let s = -2211 + 2225. What is the remainder when m is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 4*k**2 - 10*k - 13. Is w(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 + -1)*(12 - (3 - -9)). Suppose -18*g + 23 + 31 = n. Factor 0*p**g + 2\/15*p**5 + 0*p + 0 + 0*p**2 - 2\/15*p**4.\nAnswer: 2*p**4*(p - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + 2*p + 114, -j + 5*p + 49 = -2. Calculate the highest common divisor of 3224 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -38833278*u**4 + 56*u - 63678 wrt u?\nAnswer: -465999336*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d**3 + 3*d**2 + d - 1. Let v be b(-1). Suppose 18 = -4*c + q, q - v*q = -4*c - 20. What is the closest to -1 in c, 0.2, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 3:43 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/3  (b) 2\/53  (c) 1\/2  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 15*y**3 + 7*y**2 + 38*y + 1. Let o(t) = 27*t**3 + 13*t**2 + 74*t + 2. What is -11*g(p) + 6*o(p)?\nAnswer: -3*p**3 + p**2 + 26*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9 + 377*q**3 + 2 - 449*q**3 wrt q?\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 126 - 180. Let k be (r\/(-1512))\/(6\/16). Which is the closest to -1?  (a) k  (b) -2  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -951, -0.4, 4.22, -5.3 in increasing order.\nAnswer: -951, -5.3, -0.4, 4.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 588812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -4*y**2 - 2996*y - 2992 = 0.\nAnswer: -748, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -48355.91927292 - -1.3?\nAnswer: -48354.61927292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*p + 2*p - 976. Let s = p + -117. Solve 19 = s*m + n + 2*n, 11 = 3*m + 2*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - -7. Suppose -21*n = -a*n - 755. Calculate the remainder when n is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 468 + 48. Let s = r + -507. Let t(h) = h**2 + 3*h - 4. Let i be t(-4). Sort s, i, -5, -1 in descending order.\nAnswer: s, i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1454, -3034, -4614, -6194, -7774, -9354?\nAnswer: -10934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 - 11*x + 10. Let m be b(5). Let l be (-1)\/2 + 494\/4. Let a = l + m. Round a to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -79481*m**2 + 178*m + 156140945 wrt m?\nAnswer: -158962*m + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 3)*(-3575746*i - i**2 - 454*i**4 + 3575746*i).\nAnswer: 908*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 32584571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80737 is divided by 26896?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x**3 + 8*x**3 - 6*x**3)*(-2*x**2 + 2 - 2 + (1 + 4 - 2)*(-2 + 2 - 2*x**2) + 0*x**2 - 4*x**2 + x**2).\nAnswer: -55*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, m: 1, u: 4}. Give prob of sequence mff.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20101 + -2020220212?\nAnswer: -2021011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 + 6*l + 5. Let p be r(-6). Suppose -4*g = -9*g, p*z - 360 = -2*g. Suppose -2*m + 2*u + z = -2*u, -5*u - 147 = -4*m. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 626?  (a) -4\/9  (b) 1  (c) 4  (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7632?  (a) -2  (b) -0.16  (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u - 6. Let k be l(5). Let r be (-4)\/(-4)*12\/k. Let b be 6\/r*4\/(-6). What is the closest to b in -3\/8, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 - 21 - (-1 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*f**2*r*v**3 - 2*f**2*r*v**2 - 16*f*r*v**3 - 2*f*r*v**2 - 1046*f - 595*r*v**3 + r*v**2 + v**2 wrt v?\nAnswer: 12*f**2*r - 96*f*r - 3570*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -633, -3233, -7571, -13647, -21461, -31013, -42303?\n\"Answer: -869*c**2 + 7*c + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-22591382)\/18 + (-4)\/18. Let n = -385077 - o. Suppose c + n = 2*c. Round c to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 5, -9, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1357360 to the nearest ten thousand.\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 2*o - 5*z = -23, o - 4 = -3*z. Suppose -122 = o*l - 12*l + 3*t, -2*t + 58 = 3*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 158573 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0  (b) 647  (c) -0.3  (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*p - 2 + p**3 + 1466*p**4 + 1471*p**4 + p**2 - 2936*p**4 + 3*p in the form r*p**2 + o*p**3 + d*p + j*p**4 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 8949, 8728, 8381, 7926, 7381, 6764, 6093, 5386?\n\"Answer: 3*y**3 - 81*y**2 + y + 9026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -6*r + 5*r + 1 - 1. Let f(p) be the third derivative of -p**5\/15 + 2*p**2. Calculate h(f(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k + 32 = 11*k + 3*q, 3*k = -q + 72. Solve -h = k - 23 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -23671, -23669, -23667, -23665, -23663?\n\"Answer: 2*s - 23673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 12:26 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.08245l in millilitres?\nAnswer: 13082.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 - 7*g + 6. Let z be w(-8). Let c be z\/(-14) + (-52)\/(-28). Find y, given that 4\/5*y**c + 0 + 2*y**3 - 14\/5*y**4 + 0*y = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13 - -13.1. Is 19 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 331 minutes before 7:33 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - v - 238 = 0, -59*v = -63*v + 8. Solve -16*k = -u + 44 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2977061320, -2977061319, -2977061318?\nAnswer: -2977061317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6862*m - 1545*m**2 - 13740*m + 6878*m.\nAnswer: -1545*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 + 10*v**2 + 22*v - 19. Let w be a(10). Suppose -200*z - 92 = -w*z. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1248 and 6592411488?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 354*o**2 + 61*o + 117. What is the tens digit of v(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 223 + -23?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 29793078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-1 + (-3*sqrt(1539) + 0)*-5*-2 + 0))**2 + 4.\nAnswer: 2160*sqrt(19) + 5540408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 66*r - 45. Let u(y) = 17*y + 38. Let j be u(-2). What is the units digit of i(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23796 and 3654?\nAnswer: 4830588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 + 2*v**2 - 3*v**2)*(-3*v + 2*v - v) + (0 - 2*v**2 + 0)*(2*v + 1 - 1) - v + v + v**3 - 23 + 2*v**3 + 56*v - 49*v + 1.\nAnswer: 3*v**3 + 7*v - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of j**3\/2 + 9*j. Let n(g) = 3*g**2. Calculate k(n(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7346.\nAnswer: 2, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -18*t**2 - 6*t - 1. Let x(c) = 37*c**2 + 9*c + 2. Calculate -5*g(p) - 3*x(p).\nAnswer: -21*p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + 22 + -30 + 10 - (10 - 0 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (176 + 119)\/((-1)\/(-4)). What is the greatest common divisor of 60 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.2, -2, 0.5, -282, 5\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -16*g + 4. Let y(b) = 4*b - 1. Suppose 3*w - 5*q - 6 = 0, 4*q - 2 = 2*w - 3*w. Let v(x) = w*k(x) + 9*y(x). What is v(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.05 and -2179.\nAnswer: 108.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, 2, -5, -2\/3, -193 in decreasing order.\nAnswer: 2, 0.02, -2\/3, -5, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -948935*y**3 + 3380*y**2 + 16900. Let q(x) = -842*x**3 + 3*x**2 + 15. What is -3*m(u) + 3380*q(u)?\nAnswer: 845*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/91)\/(-1*(-11)\/2717)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.914112mg in nanograms?\nAnswer: 8914112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3.628039 years?\nAnswer: 43.536468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -132*k + 47*k = 1870 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000116205 rounded to 7 dps?\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*i + 5*i + 18. Calculate the least common multiple of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 316 divide 43292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -410 (base 13) to base 11\nAnswer: -577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -6 - (3 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1532660 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 1623*q - 316481. Determine u(195).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4251 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 726*g + 9736. What are the prime factors of c(3)?\nAnswer: 2, 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j*j**5)))**(-15\/7) assuming j is positive.\nAnswer: j**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 2*a**4\/11 + 206*a**3\/11 - 100818*a**2\/11 + 300546*a\/11 = 0.\nAnswer: -283, 0, 3, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 + 111\/(-21))\/((-16)\/70)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13458?\nAnswer: 2, 3, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*m - 70*m = -27819. List the prime factors of m.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12151425331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 8280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 254 = 1159. Suppose 3*q - 318 - 59 = 4*d, n = 4*q + d. Calculate the greatest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*i + 17 = -111 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-16)\/24*19\/(57\/(-90)). Solve -88*f + c = -92*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, 5, -1\/4, 0, -109, -336\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from feeffeeeeefefeee. Give prob of picking 1 f and 3 e.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 62\/597 in 0.02, -4, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -9. Let m be 3 - (-1 + (3 - 1)). Suppose -4*d = -5*z + 6, -a*z - m*d = -0*z - 8. Which is bigger: z or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 54.55157l?\nAnswer: 54551.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -473 + 491. What is the common denominator of 8\/11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvi when three letters picked without replacement from vveveeie?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 4*z**2 - 18*z - 93. Let l be o(-6). Let s = l - 164. Sort 6, 3\/5, -3, s in descending order.\nAnswer: 6, 3\/5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (-3 + -8 + 16).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*a**2 + 2*a**2 - 2*a**2 - 2*a wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 29167*a**3*i + a**3 + 26*a**2*i + 2*a*i + a + i + 363 wrt a?\nAnswer: 175002*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2, -5, 62\/45, 1\/77?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 683 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 8*j - 5. Let p(r) = -3*r**2 + 24*r - 14. Let f(m) = 7*b(m) - 2*p(m). Let t(c) = -77*c + 1623. Let v be t(21). Give f(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 690*a - 24. List the prime factors of n(2).\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of 0 + 0*s**5 + 1\/12*s**4 + 0*s**3 - 150*s - s**2 - 38\/15*s**6. What is the third derivative of a(r) wrt r?\nAnswer: -1824*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 73 + -4?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -20 + 4837\/245 + 2\/5. Which is the second smallest value?  (a) -1\/8  (b) -7  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:44 AM and 2:54 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 29 = m, 0 = -2*m + 4*t + 19 + 29. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, d: 1, b: 1, k: 5, x: 1}. What is prob of sequence dx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.3 + 0.3. Let y = -0.04 + 0.16. Let i = -0.13 + y. Is a at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (42\/35)\/(9\/30). Which is bigger: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -125432\/5 or -25087?\nAnswer: -25087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 573*q = 288*q + 290*q - 135. Solve 165 = q*a + 3 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*f**2 - 2462784*f + 9851088 = 0. What is f?\nAnswer: 4, 820924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -2*v**7\/105 - v**6\/5 + 3*v**5\/5 + 7*v**4\/3 + 185*v**2\/2 + 50. Let w(i) be the second derivative of z(i). Factor w(a).\nAnswer: -4*a*(a - 2)*(a + 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 - 2*t - 3. Let i(y) = -4*y. Let f be i(-1). Suppose -f*j = -4*p - 12, 2*j + 5*p = -0*j - 29. What is x(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - l = -2*s - 41, 5*l - 40 = s. Calculate the common denominator of (4\/s)\/(8\/(-460)) and 62\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 8*g**2 - 2*g + 10. Let d be z(8). Let n be d\/((-84)\/16*2). Is n > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*n - 41*n + 0 + 0 to the form d + j*n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.28 - 140.72. Let z = f + 217. Let i = z - 72.9. Which is the closest to i?  (a) 2  (b) -13  (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 309138021 is divided by 1256.\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*i + 53*i + 22*i + 6*i.\nAnswer: 163*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -443, -878, -1311, -1742, -2171, -2598?\nAnswer: -3023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of c**7\/350 + 27*c**6\/200 - 22*c**5\/25 + 3*c**4\/2 - 4*c**2 + 181*c. Factor k(n).\nAnswer: 3*n*(n - 2)*(n - 1)*(n + 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 56318, 112622, 168926, 225230?\nAnswer: 281534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 332 = -2*f - 2468, 5 = f. Does 29 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201030937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**2\/3 + 3117836*b - 9353520.\nAnswer: 4*(b - 3)*(b + 2338380)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1030123212 (base 4) to base 6.\nAnswer: 10413210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, 102, 10\/7, -4, 2\/5 in descending order.\nAnswer: 102, 10\/7, 2\/5, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -61634\/2679 + 1078\/47. Which is smaller: c or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -155.3783 * 4.\nAnswer: -621.5132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/20*(14 - (10 + -102)) and (-12)\/(5*(-2)\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/9 at least -252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3786, -3785, -3784, -3783, -3782, -3781?\n\"Answer: s - 3787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 6*f**2 + 4*f + 1. Let j be (-3 - 0 - 10) + -5. Let s be 4\/j - 798\/(-189). Give o(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o**2 - 2*o - 1. Let p(q) = -8*q**2 + 8*q + 5. Calculate 9*k(b) + 2*p(b).\nAnswer: 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22\/179 - 4328\/38127. Let m = 9569\/1704 + y. What is the common denominator of m and 9\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13\/20 - 2\/5. Let x = -0.288 - 118.612. Let c = x + 119. What is the nearest to c in 5, q, -1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23594*y + 2*n = 11789*y + 11800*y + 43, y - 135*n = -2564 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of c**5\/40 + c**4\/8 + c**3\/3 + 3*c. Let f(d) be the second derivative of x(d). Differentiate f(j) wrt j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -311.66 take away -52000108?\nAnswer: 51999796.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 33\/5 of a century?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 841 = 3*j - 2*a - 895, -5*a - 43 = -2*j for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48738.\nAnswer: 2, 3, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -88  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 363, 6 in increasing order.\nAnswer: -3, -2, 6, 363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32012172*g**2*l**3 - g*l**3 + 9307511*g*l**2 - g*l + 2 wrt g.\nAnswer: -64024344*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(1\/5)*s*s\/s**(1\/3))**12)**(-31) assuming s is positive.\nAnswer: s**(-3472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 7*l**2 - 34*l - 18. List the prime factors of u(-12).\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58113106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.86 minus 0.17?\nAnswer: 3.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 125 - 244 - -161 - (-8 - 1 - (0 - 0))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2\/9, -31, 817?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -1901*f. Is o(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -182*k + 2. Let v be i(1). Round v to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s**2 + 3*s**2 + 4*s**2)*(-4724 + 70*s + 4724).\nAnswer: 280*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -3*k**2 - 9*k. Let w(r) = 3700*r - 4. What is y(w(p))?\nAnswer: -41070000*p**2 + 55500*p - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -143*p + 1. Let c(h) = -141*h + 1. Calculate 3*c(l) - 4*s(l).\nAnswer: 149*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + 24*i + 7. What is h(-22)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 64 - 58. Let a be 6*2\/(-2) + k. Solve i + 3*l + a*l + 7 = 0, -4*i = -4*l - 36 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-420)\/63)\/((-8)\/1116) is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 0.111.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 30\/14003969 and 39\/788956?\nAnswer: 56015876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1180.0621579793 - -577890.9678429007. Let j = f + -579071. Let h = j - 0.03. What is h rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 + 5)*(-3)\/(2 - 1). Suppose -5*j - 5*s = -10, -5*j + 2*s = -4*j + 7. Let d be (k\/(-12))\/(j\/(-8)). Solve 0 = h - 3*h - d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*371 + 1 + 2. Let q be (-100)\/((-2975)\/r - -4). Round q to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10155 - 10157.6. Let v = 0 - 0. Which is smaller: d or v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -462 = -7*a - 28. Calculate the remainder when a is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 119282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 3 + 1, 3*y = -5*n - 23. Let u = 307013\/29810 + 3\/2981. What is the common denominator of (-63)\/(-2)*y\/10 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 + 11. Which is bigger: o or -10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3705.000024312 + -3705. What is z rounded to 7 dps?\nAnswer: 0.0000243","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6476 - 6158. Calculate the highest common factor of 4929 and p.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tbw when three letters picked without replacement from bbibpbwbbct?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.1+32884\nAnswer: 32884.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7 and 1946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 - 7*j**2 - 3*j - 9. List the prime factors of h(-10).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 169259 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: List the prime factors of 1142102.\nAnswer: 2, 13, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 - q + 21. Let x(r) = -r**3 + 2*r**2 + 6*r - 7. Let v be x(3). Suppose 3*k - 4*a = -4, -3*k + 0*a - v*a = -2. List the prime factors of y(k).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k**2 - 2*k**2 + 3*k**2)*(-2 - 3 + 4 + (511 + 130 - 130)*(3 + 0 - 1)).\nAnswer: -1021*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3978486652 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 256, 248, 240, 232, 224, 216?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 246749837.\nAnswer: 1307, 188791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2012 + 12000002?\nAnswer: 12002021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -530790379 less than or equal to -530790381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5 and 49979595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of 0*b**3 - 1\/12*b**5 + 0 + b**2 + 0*b + 0*b**4. Let g(v) = v. Calculate g(l(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-285 + 285 + 182*x**3)*((3 - 2 - 2)*(1 - 3 + 1) + (-1 - 3 + 3)*(-1 - 2 - 2)).\nAnswer: 1092*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 + 11*w + 9. Suppose 0 = 5*z + 5*i + 45, 3*z + 2*i = -z - 34. Let l be y(z). Let q = l + 36. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r**4 + 3*r**3 + 1727 - 5*r**3 - 1728 + 3*r as v*r**4 + a*r + z*r**3 + o + d*r**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 16697435.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express d**4 + 9 + 0*d**3 - 5*d**3 + 0*d**4 + d - 10 in the form l*d**2 + m*d**4 + w*d + g + y*d**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 5*c - 4 - 2 - 5*c**2 + 4*c**2 - 1. What is a(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v**3 - 4*v**2 + v - 5. Let n be r(3). Let z be ((-12)\/8)\/((-6)\/n). Solve -2 + z = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 - 5. Let n(a) = a. Let j(u) = -m(u) + 5*n(u). Let x(v) = 6*v - 9*v**2 - 12*v**2 + 34*v**2 + 6 - 12*v**2. Determine 6*j(k) - 5*x(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4589 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -59144434.1 to the nearest 10000.\nAnswer: -59140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 8476080?\nAnswer: -8476077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 886, 1784, 2730, 3748, 4862?\nAnswer: 6096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-2)*1)\/(796\/1990*15\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11790580?\nAnswer: 2, 5, 589529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 8*u. Let m(d) = 10*d - 102. Give m(g(q)).\nAnswer: 80*q - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3836862 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((74\/(-12))\/37)\/((-2)\/4). Let x = -7 - -9. Factor p*f + 2\/3 - 1\/3*f**x.\nAnswer: -(f - 2)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gqt when three letters picked without replacement from jjqtqqtjqgg.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.06  (b) -0.08  (c) 4  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvvn when four letters picked without replacement from {n: 1, v: 5, e: 2, j: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1537*x**5 - 6*x**3 - 6*x**2 - 10644649*x wrt x?\nAnswer: 30740*x**3 - 36*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -7647*y - 164 - 81 + 7649*y as w*y + b and give b.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of l**8\/6720 + l**7\/2520 - l**4\/4 - 2*l. Let g(d) be the third derivative of a(d). Factor g(r).\nAnswer: r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37694194?\nAnswer: 2, 23, 37, 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 8*t**3 + t**2 + 6*t - 4. Let r(i) = -i**3 - i + 1. Let g = -2 - -2. Let k be 2 - g - (3 - -5). Calculate k*r(d) - x(d).\nAnswer: -2*d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 211 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03687081 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 14026*(2\/(-24) + 0). Let h = -1153 - p. Calculate the common denominator of h and ((-3)\/(-54))\/(2\/(-184)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -46*b - 529. Give g(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**2 + 9*c + 11. Let o be v(-8). Suppose -6*g + 3 = -o*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 146 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r + 25. Let z be v(11). Suppose -89 - 42 = -z*f - 2*g, 4*g = -8. What is the highest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeiebebeeeeieiewu. Give prob of picking 1 w and 1 b.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -5*h - g + 11, 4*h = -4*g + 40. What is the third derivative of x**h - 3*x**6 + 4*x**6 - 3*x**2 - 4*x**2 wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44578 is divided by 3425?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56897023 is divided by 56897005?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 39574 and 4787044?\nAnswer: 2015345524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -24886 <= -24869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 0.1  (b) -2  (c) -0.2  (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 42378 to the nearest 100.\nAnswer: 42400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of 1\/6*h**3 + 0 + 0*h - 19*h**2 + 1\/24*h**4. Let o be -2 - -2 - (7 + 0). Determine n(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*w**3 + 608*w**2 + 21*w + 125?\nAnswer: 24*w + 1216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-12) + (-106)\/(-12). Find the second derivative of -3*a**2 + z*a + 2*a**2 - 12*a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rafrfraaafaaf. What is prob of picking 1 a and 2 f?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 3*v**2 + 3*v - 6. Let c be q(3). Let m = c + 80. Calculate the remainder when 38 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44816 is divided by 830.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -53*q - 10867 + 53267. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -5*j**3 + 465*j**2 + 1520*j + 20. Let b(n) = 2*n**3 - 155*n**2 - 507*n - 6. Let s(f) = -10*b(f) - 3*w(f). Factor s(v).\nAnswer: -5*v*(v - 34)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 259726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-3864)\/(-273) - 2\/13. Let o be t*((-2)\/(-14))\/((-1)\/(-2)). Let z(v) = -v + 2. Give z(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 49\/5, 7\/16, 5, 3, -4 in descending order.\nAnswer: 49\/5, 5, 3, 7\/16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -8393?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.033977 to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1305\/5561?\nAnswer: 1305\/5561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5268*c + 146 - 16 = -5278*c for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**3 + 4*p**2 - 2*p - 3. Let t be k(-4). Let g(q) = 4*q**2 - 1. Let x be g(-1). Let s = 6 - 6. Sort x, t, s in ascending order.\nAnswer: s, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 + -10. Let d = m - 8. Is d at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 313060 is divided by 52174.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - -128e523e?\nAnswer: 128e523e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r**5 + 6*r**4 - 6*r**2 + 3*r = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -31*p**3 - 5*p**2 - 5*p + 5. Let j(c) = -216*c**3 - 36*c**2 - 36*c + 36. Give 36*b(n) - 5*j(n).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.3  (b) 5  (c) -5  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2201232211 (base 4) to base 2.\nAnswer: -10100001101110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 PM and 1:38 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -0.5, 9, 39?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a - 31. Let h(k) = k**2 + k. What is 2*h(t) - q(t)?\nAnswer: 2*t**2 + 4*t + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 253*l = 23*l + 3515 + 3579 + 726 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*w**4 + 61326*w**2 + 5*w**4 - 61328*w**2 + 18*w**5 - w + w**5 + w + (w - w**5 - w)*(-3 + 2 - 1) + w**5 - w**5 + w**5.\nAnswer: 22*w**5 + 3*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.1, -2\/165, 1\/2, 1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3 - 5)*((-3)\/2 + 1). Calculate the highest common factor of 5 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12893?\nAnswer: 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from auuakuuauaaauauaauua. What is prob of picking 1 u and 2 a?\nAnswer: 27\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -40*k + 0*k + 3*k as c*k + l and give c.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 455084311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (-21)\/35*(-58385)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of -1\/40*s**6 + 1\/210*s**7 + 1\/336*s**8 + 0*s**3 + 0*s - 1\/12*s**5 - 4*s**2 - 1\/12*s**4 + 0. Factor m(p).\nAnswer: p*(p - 2)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10131875639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 6*d**2 - 27*d - 72. Calculate the smallest common multiple of b(8) and 30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 6982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -842 + 868. Suppose -14*k - 80 = d*k. Let z(x) = -3*x**2 + x + 1. Let r(a) = 7*a**2 - 2*a - 2. Give k*r(c) - 5*z(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, q: 3, u: 1, r: 2, e: 3}. Give prob of sequence wee.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 288*a - 8 - a**3 + 7 + a**4 - 284*a - a**2 as v + h*a**4 + m*a + y*a**2 + q*a**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-8)\/s*s)\/(s**(-1)\/s*s))\/(s*(s*s*s*s\/s**(-2)*s)\/s*s\/(s\/(((s*s\/(s\/s**(4\/7)))\/s)\/s))) assuming s is positive.\nAnswer: s**(-95\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 2*o. Let c(u) = -u. Let f(p) = p - 1. Let n(s) = -10*s + 9. Let j(g) = 36*f(g) + 4*n(g). Let h(b) = -15*c(b) + 5*j(b). Determine z(h(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/2)*b)**(-16\/3)\/(b**(2\/9))**46 assuming b is positive.\nAnswer: b**(-164\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 19253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 1) + -2 + 23 + -18?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 598 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1392\/290*25\/(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2285559063 to the power of 1\/7, 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 -508358*l**4*u - 11*l**4 + 9166*l**2*u - 4*l*u - 44*u wrt l?\nAnswer: -12200592*l*u - 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 - 7*r + 9. Let o be f(-7). Suppose 2*c + 16 + 0 = -4*s, -c = 4*s + 14. Let k = o - s. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i and 1 p when four letters picked without replacement from {m: 5, i: 9, p: 2}?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (64 - 2) + -2 + (-5 - 17) + 38?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2415 and 53325615?\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35684 and 578897?\nAnswer: 1877941868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (332*f + 516*f - 2*f**2 - 627*f)*(0*f**2 + 0*f**2 + f**2).\nAnswer: -2*f**4 + 221*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/7*-57*39\/(-494)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of m**5\/10 - m**4\/3 + 2*m**3\/3 - 2*m**2 - 13*m. Let d be i(2). Solve -2*c + j = -0*j - 9, 4*j = -d*c + 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + 6*l + 3. Let j = -16 + 11. Determine m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 554467405 to the power of 1\/3, to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of v**5\/60 + v**4\/24 + 3*v**2\/2 + 3. Let s(y) be the second derivative of l(y). Factor s(n).\nAnswer: n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 37*o - 156*o + 43*o + 38*o + 39*o. What is q(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + b)*(0*b + b + b) - 2*b - 651 + 9*b**2 + 651.\nAnswer: 11*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1195, 2292, 3389, 4486?\n\"Answer: 1097*x + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*w**2\/5 - 11788464*w\/5 - 5790328478304\/5.\nAnswer: -6*(w + 982372)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 + -64)\/((-4)\/18). Let p = -73 - 117. Let u = z + p. Calculate the highest common factor of 32 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 425\/(-50) + (-2)\/27*2484\/(-144).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 + 15. Calculate the remainder when 11 - 0\/(8 - 4) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -111784, -223566, -335348?\n\"Answer: -111782*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (14*q + 71*q - 38*q)*(5*q - 3*q - q) + (-1 - 2 + 5)*(2*q**2 - 3*q**2 + 2*q**2) in the form k + l*q + v*q**2 and give v.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2106396?\nAnswer: 2, 3, 58511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -36 bigger than 38.966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 14*v. Let j(s) be the third derivative of 7*s**4\/24 - 17*s**2. Calculate a(j(c)).\nAnswer: 98*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 76, 22, -68, -194?\n\"Answer: -18*o**2 + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n - 8. Let f(b) = -1. What is -4*f(y) + q(y)?\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - 4. Let j be (t - 2) + 10 + -3. What is the units digit of 2*((-3)\/j + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33d (base 16) to base 12\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 794 - -2151. What is the highest common factor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 24 = i - 0*w, 3*i - 22 = 2*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that b**5\/8 - 3597*b**4\/8 + 4491*b**3\/2 - 1796*b**2 = 0.\nAnswer: 0, 1, 4, 3592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**3\/5 - 72148*f**2\/5 - 432834*f\/5 - 649224\/5.\nAnswer: -2*(f + 3)**2*(f + 36068)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n = 7*n + 11. Let j(v) = -2*v + 2. Let z(u) = -u**3 - 11*u + 11. Let w = 2 + -4. Give n*j(b) + w*z(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 4*w - 7414, -u = 4*w - 4*u - 7410. Suppose 4*m = 9*c - 7*c - w, -3*c - 2*m = -2749. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x - 2. Let q be s(-6). Suppose -q*b + 25 = b. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) 2\/13  (b) 0.61  (c) 0.5  (d) -1\/28  (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 8413 = 3*t - 17142, 5*o + 5*t - 127795 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/((-2955)\/(-1478) - 2). Let r = f + -799. What are the prime factors of r?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*f**2*u + 40*f**2 + 10*f*u - f - 63135*u - 12963 with respect to u.\nAnswer: -5*f**2 + 10*f - 63135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - 14*c**2 + 4152*c + 54130. Give s(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-4)\/u**(-1\/7))\/(u**(2\/3))**(-16\/3))**(-1\/22) assuming u is positive.\nAnswer: u**(19\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/(-1022)*1533\/(-35).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand s + 1 - 1 + (-2 + 0 + 4)*(s - 4*s + s) + 5 + 0 + 14*s - 3 + (5*s + 4 - 4)*(1 - 10 - 2).\nAnswer: -44*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 4*h = 24, 3*x + 0*x + 5*h = 18. Suppose -5 = -x*r + 49. Solve 6*d - 9 = r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2274772931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3.2  (b) 4\/7  (c) -2  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1004 + 1447. Let z = k - 314. What is the remainder when z is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 197 + -194. Solve 5*s - s = -y + 3, 0 = -2*s - o*y - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/973 and -40\/133.\nAnswer: 18487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 18178871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 810280 rounded to the nearest 10000?\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14105 and 585?\nAnswer: 126945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (5\/(-3))\/((-5)\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/3, -0.3, 1177, 14, -58 in descending order.\nAnswer: 1177, 14, -0.3, -5\/3, -58","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let d = -165 + 292. Let n = d + -127.2. Let l = -35 - -31. Which is the closest to n?  (a) -0.11  (b) 5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(5) - (-2 + 3 + sqrt(5)))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**6*m*m**(-2))**(-1\/14)*(m*m**0*m*m*m\/((m*m\/m**5)\/m))\/(m*m**1*m*m**(3\/8)) assuming m is positive.\nAnswer: m**(239\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -90  (b) 3  (c) 1\/1201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p - 2*p + 0*p)*(-118 - 58 + 24).\nAnswer: -456*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 75 and 976830.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 29430538.5 to the nearest one hundred thousand.\nAnswer: 29400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**2 - 13*i + 150. Is 30 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/2)\/(16\/(-480)). Solve -2*o = -3*a + 5 - 16, 5*a + l = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 113359571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**2\/5 - 1018*z\/5 - 140572\/5 = 0.\nAnswer: -113, 622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/12)\/(2459\/108196)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m**2 + 5. Let j = -1 + 8. Let y(z) = -2*z - 3*z**2 - z + 5*z - 2*z - 7. Let p = -482 + 487. What is j*s(k) + p*y(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 + 16*f + 54. What is b(-13)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 174 and 110\/125*15*5\/2?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*n - 2951 - 6*n + 8*n.\nAnswer: -9*n - 2951","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -2 - (5 - (5 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 13*a**2 - 14*a + 5. Let s be x(-12). Let z = -23 + s. Let r(q) = q**3 - 4*q**2 - 3*q - 11. What is the tens digit of r(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, w: 1, i: 1, t: 1}. What is prob of picking 1 t and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -10*h - 70. Let r be z(-7). Let s(w) be the second derivative of w**2 + r + 4*w + 1\/12*w**4 - 1\/6*w**3. Calculate s(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 104634558?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.056174 rounded to 4 dps?\nAnswer: 0.0562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-12))\/(6\/(-774) - 0). Suppose -k = -201 + 5. Suppose -m = 3*v - k. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 - 1 - (-100)\/(-4). Let a = c + 31. Suppose a*h = 6*h - 60. Solve -3*m + 6*m = -h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-60))\/((-3)\/18). Let w be (232\/24 - 11)\/((-8)\/30). Let g = -11.8 + 13. What is the biggest value in g, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.268 and 37.\nAnswer: 37.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*d - 23 = 62. What is the smallest value in -1\/3, -15, d, -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 602*x - 52 = -610*x, -5*m + 38 = 2*x - 32 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 17\/2 of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.037 - -4.363. Let w = 3.9 - p. Sort -1, -9, w in decreasing order.\nAnswer: w, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 + 5*a - 2. Let z be h(3). Suppose z*b + 4*y = 8, -3*b - 2 = -2*y - 3. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26773\/25656 - -2\/1069. Find the common denominator of 59\/3 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**3 + 111*f**2 + 894*f + 1320.\nAnswer: -3*(f - 44)*(f + 2)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5514157613 to the power of 1\/2, to the nearest integer?\nAnswer: 74257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 8*n + 160 = 0. Let h = -32 + n. Let s(c) = -10 + 2*c + h - 3*c + 0*c. Determine s(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of -2 + 2\/9*h**3 + 1\/3*h**2 - 2\/3*h - 1\/6*h**4. Factor s(q).\nAnswer: -2*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 156*s - 8*s**2 - 71*s - 81*s - 5 + 12 to d + v*s**2 + y*s and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6759, 13518, 20277, 27036?\nAnswer: 33795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9b8b - -366?\nAnswer: -9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/(-5))\/(8\/(-60))*-13. Let v = -63 - h. Solve 5*u + 0*u = -v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231 - 434 = -7*m - 12*m. What is the smallest common multiple of 77 and m?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 115 (base 7) to base 10.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 628290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/438997936 and -31\/118592.\nAnswer: 1755991744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1486 a factor of 1056189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of -1\/7*l**2 + 0*l - 2\/7*l**3 - 3\/14*l**4 - 1 - 2\/35*l**5. Suppose u(f) = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - r + 2 + 2*r)*(4 + 2 + 2).\nAnswer: 8*r + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*c**3 + 3*c**3 + c**3 + (0*c**2 - 4*c**2 + 3*c**2)*(1 - 1 - 3*c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 7 = -3*c + 2, 0 = -5*c + d + 15. Suppose -2*n + 1 + 3 = -o, -2*n - 3*o = -12. Suppose 4*p + 2 + 2 = 3*m, 2*m - n*p = 2. Solve c*y = y + m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 1 + (1 - -3) + (14 + -3 - 9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 AM and 9:46 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -51  (b) 2\/3  (c) 4  (d) 5503  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 2:54 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 248 + -2236\/9. Let g = 36 - 39. What is the nearest to 2 in u, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182*b - 187*b - 60 = 0. What is the second smallest value in 3, 0.8, b?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-2))\/((-4)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 275 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 193 + 2. Let b be (u\/78)\/((-1)\/2). Suppose -2 = 4*j - 5*j. Are b and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 48*u**2 - 1. Let d be t(1). Let y = 5 + d. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*h = 21*h + 1576. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 1. Let y = -3 - t. Is y greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y = 10*y - 887. Suppose -6*p = 499 + y. What is the hundreds digit of (-9 - -2)*11\/(p\/558)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5324 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 1 - (-6038 - -6153)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1165 + 855. Let w = -311.009 - r. Round w to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4048 (base 9) in base 11?\nAnswer: -2251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 57 + -56.8. Let c = -27.2 + 25.8. Sort c, -0.3, s in descending order.\nAnswer: s, -0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2, 3, 0.56, 2\/73, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -274 + 405. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -447*z + 483*z = -1044 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 5*s**2 + 2 - s**3 + 5*s**3 - 3*s**3 - 4*s - s. Let u be p(-5). What is the derivative of -7*d**4 + 27*d + 12 - u*d wrt d?\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1.28604235 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20083080?\nAnswer: 2, 3, 5, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -5*j - 2. Let a(l) = -154*l - 63. Suppose 13*g + 301 - 1120 = 0. What is g*v(s) - 2*a(s)?\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256 = 54*p - 284 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*z**2 + 2*z**2 + z**2 + (-1 - 3 + 6)*(-z - 2*z**2 + z) - 2*z**2 + 2*z**2 + z**2 - 6*z**2 + z**2 + 4*z**2 + (-5*z - 10 + 10)*(-12*z + 4*z + 0*z).\nAnswer: 35*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-n - 3 + 3)*(-4 + 4 - 1)*(22*n**3 - 26 + 26) in the form l*n**3 + i*n**4 + f + v*n + a*n**2 and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*u + 9*u - 20*u + 3*u.\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:23 PM and 4:09 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -1) + -2 + 0 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 + 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n*s**4 + 33*n - 210*s**5 - 12*s wrt s.\nAnswer: 12*n*s**2 - 4200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 271702937*f**3 + 49*f**2 + 2*f + 294007 wrt f?\nAnswer: 1630217622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 52 and -34.54.\nAnswer: -1796.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -3. Suppose -4*w + 112 = -4*p, -w = -0*p - 2*p - 33. Suppose 3*q = -2*g + 91, t = -4*q - 3*g + 99 + w. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 118 is divided by 24 - (92\/(-14) + 15\/(-35)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n**3 + n. Let i be u(1). Solve 0 = y - 4*o - 12, 0*o = -o - i for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*r**2*x**3 + 803612765*r**2*x**2 - 5319*r**2 - 2*r*x + 3*r - x - 155 wrt x.\nAnswer: 12*r**2*x + 1607225530*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-15168)\/(-237632)*-4*1\/(-6)*1.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(156)\/sqrt(108) - (sqrt(104)\/(sqrt(8) - (sqrt(8) - sqrt(32))))**2) + -5.\nAnswer: -25\/4 + sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*q + 11*q**2 + 0*q + 3*q to the form c*q**2 + w + i*q and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3732 - -3730. Let y(r) = -4*r**3 - 3*r**2 - 2. Let x(k) = -k**3 - 1. Determine q*x(u) + y(u).\nAnswer: -2*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 + (-3 - 0) + 2. Let a(k) = -k - 4. Let i be a(p). Suppose -18 = -x - i*x. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -13150 - 13702?\nAnswer: -27052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.04 + -7.34. Let p = k + 7.299938. Round p to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -134 - -7526 - (-2 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22\/52 - 9\/(-117)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 - 10219*f + 61 - 32.\nAnswer: -10219*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h + 25 = -5*b, 15 = 193*h - 198*h - 3*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 3, p: 3, a: 6, m: 7}. What is prob of sequence bb?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 0*y - 16 = -2*y, 3 = y. Suppose 3*o + 3*a + 6 = 0, -3*a - g*a - 5 = 0. Calculate the common denominator of (3\/o)\/((-10)\/(-9)) and -139\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18376, -37408, -56440?\nAnswer: -75472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -4*w + 1051, -3*c = 5*w - 1470 + 165. Find the common denominator of ((-62)\/54)\/((-1)\/(-6)) and 27*(488\/w + -2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(3\/2))**(-1\/17)*k**(-5)\/k*k*k*k**(7\/3) assuming k is positive.\nAnswer: k**(-179\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -56 - -98. Let w = m - 40. Solve 0 + 6 = w*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -426.466 + 427. Let l = -0.088 - -0.568. Let k = u - l. Round k to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 668, 1369, 2072, 2777?\n\"Answer: f**2 + 698*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 + 4. Let r be h(0). Suppose 3*d = r*k + 44, -2*k - 77 = -5*d + k. Suppose 0 = -5*m + 32 - 22. Solve -m*b - 2*b = -d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -334*f**2 - 4. Let t(i) = 5200*i. Determine l(t(p)).\nAnswer: -9031360000*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1748707364 to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v**2\/5 - 662142*v + 548040035205 = 0. Calculate v.\nAnswer: 1655355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (8 - 0 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 + 54. Suppose -u - 4*f - 10 = -1, 4*f + 44 = 4*u. Suppose u*c = 3*c + 368. Calculate the greatest common factor of s and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {x: 5, q: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 24\/(-48) - 30*(-5 - 52\/(-16)). Calculate the highest common factor of 4927 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/58 in 0, -1\/6, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2080197648 to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 10*d**2 + 14*d + 15. Let m be p(11). What is the highest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 + 5*i + 19. What is the units digit of t(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28 + -40. Let k = -12.0306 - c. What is k rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7202219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -8, -1, -4, 5, -8408, 4 in ascending order.\nAnswer: -8408, -8, -4, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -241*u - 205*u - 190*u + 3471 = -725*u for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 5:10 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4\/1209 + -2398\/6045. Which is the nearest to -10?  (a) -5  (b) z  (c) 1  (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from zzzppppppp?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*h - 10. Suppose h = -6*j - 0 - 0. Factor 3*a**2 + 4*a**3 - 2*a**4 + 2*a**2 + 8 + a**2 - 16*a + j*a**2.\nAnswer: -2*(a - 2)*(a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**35*w**(-14\/3))\/(w\/w**(-2\/7)*w**(2\/7)\/w*w) assuming w is positive.\nAnswer: w**(604\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 225*r = 220*r + 15. Suppose 9 = 3*i - 3. Put -3, r, i in increasing order.\nAnswer: -3, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.093059 - 179\nAnswer: -178.906941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 - -4?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -29.807146 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -10 + -30402a81?\nAnswer: -30402a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/320 and -9\/1076.\nAnswer: 86080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*h + 5*h - 4*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (42\/(-105))\/((-1)\/235). Let t = s + -97. Let r be (4\/(-6))\/(t\/18). Solve 4 = r*u - 0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -141272976 divided by -17659122\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1361, -1356, -1349, -1340?\nAnswer: -1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1009486*j + 1009477*j = -18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2, 5\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 - 4*i - 4. Determine s(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -2*a - 1. Let s(u) = -u + 9. Let l be s(11). Let x be m(l). Let -4*v**5 - 10*v + 3 - 3 - 24*v**x - 16*v**4 + 6*v - 16*v**2 = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 - r**2 + 13*r - 14. Let q be d(6). Let b = -144 - q. Calculate the greatest common factor of b and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7047618931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of 1\/240*k**6 + 0 + 5*k**2 - 1\/60*k**5 + 1\/48*k**4 + 0*k**3 + 0*k. Find c such that y(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/7  (b) -1  (c) -69  (d) -4\/3  (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2671569521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 12 = -4*b + 8, 9 = 3*i. Suppose 0 = -2*o - 3*c + 58, o + b*c = 18 + 13. What is the third derivative of 3*s**2 + s**2 + o*s**5 + 0*s**2 wrt s?\nAnswer: 1380*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10101100111011111 (base 2) to base 11\nAnswer: -60584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 352 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28\/36*(-7)\/(196\/(-8)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 5*j + 10*j + 190 = 0, 0 = -2*a - 5*j + 34. What is the greatest common factor of 1528 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2344030528, -2344030529, -2344030530?\n\"Answer: -k - 2344030527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/(2541\/(-126))*297\/(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 2*d - 4. Let z(v) = -151*v - 744. What is the remainder when z(-5) is divided by a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of -w**4\/12 - 13*w**3\/6 + 8*w**2 - 7*w. Let u be n(-12). Let q = 78 - u. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -4*i + 41, 2*i - 6*i = -2*g - 38. Which is smaller: 9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m + 13*m + 4*o = 997, 0 = 9*m - 4*o - 8813. What is the highest common divisor of 117 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43753 is divided by 2901.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, y: 8}. Give prob of sequence ly.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*(h*h\/h**(-17))\/h*h*h)\/(h**25*h) assuming h is positive.\nAnswer: h**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*g - 4*g + 5*j + 15 = 0, -80 + 227 = 29*g + 2*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6743409 is divided by 2247613.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 42 divided by 609411\nAnswer: 14\/203137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**3 - 1. Let m(n) = -8*n**3 - 2*n - 4. Let y(p) = m(p) - 5*s(p). Suppose -51*b = 4 - 55. Determine y(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -2*g + 1. Let p be o(-1). Let i(l) = -5*l + 0*l + 4*l - p + 2. Let t(y) = -6*y - 4. Calculate -5*i(s) + t(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 3*j = -2386, -2*j - 3 = j. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/15 - -11*1\/5. Suppose -s*v - 5*j - 463 = 0, 3*v + 5*j + 617 = -65. Let k = v - -409. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13342 is divided by 1221?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 48083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 143*j*q**5 - 2*j*q**3 - j*q**2 - 181*j*q wrt q?\nAnswer: 8580*j*q**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/10 - (-64)\/10. Suppose 10 = t + k. Factor -o**4 - o - t*o**4 + 12*o**2 + 3*o**3 - o + 6*o.\nAnswer: -o*(o - 2)*(o + 1)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 + 13. Suppose 3 = -o*z - i, 3*i = 6 + 9. Let a be z\/(-16) - 174\/(-8). Calculate the greatest common factor of a and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3835 is divided by 455?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 5*w - 2. What is the second derivative of 7*f**w + 13*f + 3*f**5 - 4*f + 6*f wrt f?\nAnswer: 200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 479741 by 41.\nAnswer: 11701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.168, 1, 1\/6, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 5:53 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.51 + 0.01. Let d = r - -0.6. Let v = 0.2 - 0.4. Sort d, v, 2 in decreasing order.\nAnswer: 2, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000063025 to 7 dps.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -2*s + 28. Suppose 3*z - s = -5. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, -5034 in descending order.\nAnswer: 3, -1, -5034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nuey when four letters picked without replacement from uyenuyyuuyeyueyyuy.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 14008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -7 + -1 + 0 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (4 + -2 - 0) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 200 by -40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4 + -3)\/(2\/4). Suppose 2*w = -m*w - 8. Calculate the common denominator of -15\/8 and 2 + w*17\/(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 6 = -3. Let j be (-4)\/12 + 3\/l. Suppose j = -11*u + 8*u + 24. What is the lowest common multiple of 10 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3979.984702 - 3617.9847346. Let j = -362 + d. What is j rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 - 11*r + 4 + 6 + 4*r - 1.\nAnswer: -7*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -72 by -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(88)\/(sqrt(33)\/sqrt(3)) + sqrt(8) - (0 + sqrt(8) + sqrt(8) + -1 + sqrt(8)).\nAnswer: -2*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 929 and 0.1.\nAnswer: 92.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.35*0.0216\nAnswer: -0.00756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -40580, -5, 9, -36, -2, 3 in descending order.\nAnswer: 9, 3, -2, -5, -36, -40580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -2*o - 2. Let l(p) = -1. Determine -j(h) + 5*l(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 29024041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -44.1 * 29880\nAnswer: -1317708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8712)\/96*(-2)\/(-3)*-15*(-112)\/(-4620).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 + 103?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2.1  (b) 0.4  (c) 197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 565 + -509. What is the highest common factor of 280 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 154 (base 13) to base 15.\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/((-5)\/((-555)\/(-6))). Let f = j - -53. Solve 5*v + 4 + f = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 677 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5525205 (base 6) to base 15\nAnswer: -56b3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 443 divide 45903660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1\/164 + -317\/1804. Let k(a) = a**2 - 1. Let f be k(-1). Put 0.5, f, h in decreasing order.\nAnswer: 0.5, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 192894 + -192896. Let m = 2 + -1. Let q = -3 + 2.9. Which is the nearest to q?  (a) -1  (b) z  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.1 - 2.1058. What is o rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/8)\/(((-363)\/2662)\/(14\/11)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.42 + -0.39. Let w = -0.03 + h. Put w, 0.4, -9\/5 in descending order.\nAnswer: 0.4, w, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minus -3.365?\nAnswer: 17.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-42)\/(-378))\/(8\/180)*8\/(-95)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 - 2878 - 2873 - 2886 + 8637.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-39)\/(-18) + 1\/(-6). Suppose 1 = -5*w + i*q - 5*q, -5*w - 3 = 4*q. Let v(r) = r**3 - 4*r + 4. Let n(s) = -1. Determine w*v(x) + 4*n(x).\nAnswer: x**3 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 403588195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -31*f. Let x(r) = 739*r - 5171. Let m be x(7). Let p(q) be the third derivative of 0 - 10*q**m + 0*q**3 + 0*q - 1\/24*q**4. Give a(p(w)).\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 35*p = 0. Solve 6 = -p*q - 2*q, 22 = 2*v - 4*q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence anna when four letters picked without replacement from nnnnanaann.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208452 is divided by 1212.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**2 - 137*x - 1687. Let n be z(-52). Solve -i = 0, 41 = 4*v - 3*i + n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t**2 + 2*t**3 + 2*t**2 + (-t - 5*t + 4*t)*(0*t**2 + 39*t**2 + 4*t**2) + (-3 + 3*t + 3)*(-4 + 4 + t**2).\nAnswer: -81*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**4 - p**4 + 2*p**4)*(3*p + p - p) + 2*p**5 - 2*p**5 + 2*p**5 + (3*p - 3*p + p)*(2*p**4 - 4*p + 4*p).\nAnswer: p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25594537 + 25588571.0035. Let o = s + 5976. Let n = o - 10. Round n to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 112433853 = -3*g - 143806132, 0 = 5*b + 5*g - 256240025. What is b rounded to the nearest 100000?\nAnswer: 51200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97 is divided by 58.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 489042, 488871, 488688, 488487, 488262, 488007?\n\"Answer: -v**3 - 164*v + 489207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 1906 = 2*g, g + 117 = -3*v + 1073. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*c + 12*c - 3*c)*(48*c - 17*c + 9*c).\nAnswer: 720*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35613?\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153143005?\nAnswer: 5, 30628601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 214919 - 1231?\nAnswer: 213688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + -28 + (56 - 45)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.44 and -7604.\nAnswer: 3345.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((5766\/(-341))\/93)\/((236\/(-22))\/(-2)).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, v: 2, i: 4, g: 2}. What is prob of sequence vi?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1430 + -33?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of 46\/3*u**3 + 119\/2*u**2 + 72 + 0*u. Find the second derivative of a(o) wrt o.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -48.08 - -5.08. Let v = -43.0056 - d. What is v rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1389727, -9, 4 in increasing order.\nAnswer: -9, 4, 1389727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p + 9. Let n be 60\/(-8)*(-8)\/6. What are the prime factors of x(n)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4\/9  (b) 119  (c) 3\/5  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/6*(-6)\/(-8))\/(-132*143\/(-868296)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - 6 - -1*1. Let x = 707.9221 - -0.0779. Let q = x - 707.8. Which is the fourth biggest value?  (a) r  (b) -2\/11  (c) 1\/3  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 6*f + 28. Let l = f + -1. Solve 4*u + 6 = -l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 5*o = -25. Suppose -g + 0*g - 13 = -2*x, -5*g - 30 = -o*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(2\/13)\/y**32)\/(y*y**0)**(-36))**(-36) assuming y is positive.\nAnswer: y**(-1944\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 5*p**2 - p - 6. Suppose 0 = -28*w - 3*w - 7657. Let f = w - -246. Let s(c) = -c**2 + c + 1. Calculate f*n(m) - 3*s(m).\nAnswer: -2*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 47473 and 541847.\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23827\/345694 - -8\/1361. Calculate the common denominator of l and -16.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43428 - -62651. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1605 (base 7) in base 14?\nAnswer: -33c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2052 - 5?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 180 and 450.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.8 minus 106214.8626?\nAnswer: -106206.0626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a + 116. Is s(-32) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -82.31 or -1\/7?\nAnswer: -82.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 1 + 4. Suppose -29 = -p*d + 4*b, 31 = 5*d - b - 6. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*z**2 + z - 6*z**2 + 2 + 2*z**3)*(23*z + 12*z + 2*z).\nAnswer: 74*z**4 + 37*z**2 + 74*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (7\/((-105)\/6))\/(4\/40). What is the second biggest value in 2\/11, j, 10\/13, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -8*k + 25. Suppose c + 4*p = 281, k*p - 1480 = -17*c + 12*c. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.0328 + -0.1672. What is the third biggest value in o, -0.12, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 67 - 195. What is the highest common factor of c and 320?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the first derivative of 365*m**2 + 3761. Let n(y) = 3*y**2. Calculate n(f(w)).\nAnswer: 1598700*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 11928883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s + 16*s**4 + 36*s**3 - s - 42*s**3 - 2 + 3*s to j*s**4 + w*s + u*s**3 + z*s**2 + r and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -23, 1, 5, 1830 in decreasing order.\nAnswer: 1830, 5, 4, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 48, 5\/6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.0604 - 332367\nAnswer: -332367.0604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + -3. Suppose -g*o + b = -10, 8 + 0 = -4*b. Let z(u) = 3*u**2 + 3*u**2 - 4*u**o. Let f(p) = p. Give f(z(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 360, -2, -2\/11, 5 in descending order.\nAnswer: 360, 5, 0, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/7 - 5*m\/7 + 6\/7.\nAnswer: (m - 3)*(m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -8*t + 22. Suppose 5*s - m - 117 = 0, 4*m = s - 36 + 5. Calculate the remainder when s is divided by i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33 (base 4) to base 16.\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -303*z + 496*z + 1737 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 + 1524*v + 1326511. What is z(-619)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -142*h**6 + 3*h**2 + 17*h.\nAnswer: -17040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of y**5\/20 - y**3\/6 + 3*y**2. Let w be r(1). Suppose -8 = w*l - 0*l. Sort 5, l, 4 in descending order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -a - 6. Let r = 9 + -9.2. What is the closest to 0 in r, a, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**3 - 3*o + 1484. Does 28 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(243) + -5 - (sqrt(3) - (0 + sqrt(243)))**2.\nAnswer: -197 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11434324 - -4?\nAnswer: 11434330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/5 - 73*s**2\/5 + 258*s.\nAnswer: s*(s - 43)*(s - 30)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 42491?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 - 4*i + 3. Let h be r(7). Let v = -7 + h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 38, -0.03991, -0.317?\nAnswer: -0.03991","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of -2*t**2 + t**3 - 1\/60*t**5 + 0*t + 1\/4*t**4 + 0. Give j(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 3*w - 11. Let n be x(8). Suppose -4*f + n = -7. Let p(a) = 3*a**3 - 6*a**2 - 5 + 4*a**3 + 8*a - 6*a**3. Give p(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49, -460, -1579, -3760, -7357, -12724, -20215?\nAnswer: -30184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -3 - 2*q - 2*q**2 - 4*q**2 + 6. Let m be s(1). Which is bigger: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -14856, -29709, -44566, -59427?\n\"Answer: -2*l**2 - 14847*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3835650 divided by -36530.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -60*r**2 - r + 1. Let w be o(1). Let s be (52\/10)\/(4\/w). What is the units digit of 5 + -2 - s\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 11*x**2 + 13*x - 11. Let d = 29 - 17. Let f be l(d). Let i be 15\/55*(10\/(-6) + 1). What is the nearest to f in -6, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1117448 is divided by 2780?\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -433 - -433. Let t(u) = 2*u + 5. Let i(g) = g + 3. Let m be i(-8). Let h be t(m). Sort h, w, 2 in descending order.\nAnswer: 2, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27 is divided by (4 - 0)*(-39)\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 0 - 1\/2*f**3 + 1\/6*f - 1\/3*f**2 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 10\/3*n**4 - 14\/3*n**3 - 10\/3*n - 46\/3*n**2 + 4 = 0.\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/21  (b) -2  (c) -61  (d) -2\/11  (e) 1\/110  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 628895?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -9*q - 2. Let u(l) = -8*l - 2. Let s(c) = -c - 1. Let t be s(5). Suppose 480*x - 528*x - 194 + 530 = 0. Calculate t*i(y) + x*u(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*b - 9519592597 + 9519592597 + 42*b - 29*b + 26*b.\nAnswer: 73*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 594 and 4609?\nAnswer: 248886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9880\/(-10) + (0 - 1). Let y = -637 - x. Suppose -3*c + y = c. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -119*c = -44*c - 300 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - 243244*n**2 - 4*n**3 + 243265*n**2 - 1 + 4*n + 1 + n**3 as w + g*n**2 + j*n + o*n**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.9 + -2.34. Let b = 3.74 + x. Let j = b - 3.3000065. What is j rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (39\/(-15))\/(2\/(-3 - 7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30832 and 336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 + 1. Let z = p + -6. Let d = 12.9997 + z. Round d to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28 + -41 + -66 + (5 + -1 - (-41 - -46))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.53 + 0.22. Let k = -0.27 - a. Put k, -1, 3\/7 in descending order.\nAnswer: 3\/7, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(-126)*-3*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -22165 - 5?\nAnswer: -22203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*o + 12. Suppose -2*s = -o, 3*l + 11 = -0*l + s. Let b be 6*(0 + (-1)\/l). Solve b*h = -0 + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1192330783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -10276290 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31\/22 + 10935\/(-7290)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 738*w**2 + 1496*w**2 + 4*w - 1287*w**2 - 7*w to b*w**2 + a + u*w and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 3*q + q - 2*l, 4*q + 5*l - 37 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 161*n**3 + 18*n**2 - 14*n - 7. Let d(w) = -54*w**3 - 6*w**2 + 5*w + 2. Let i(r) = -2*b(r) - 7*d(r). What is the third derivative of i(v) wrt v?\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -970966 and -2?\nAnswer: 1941932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65627312.\nAnswer: 2, 293, 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -9250, -17852, -26454, -35056, -43658?\n\"Answer: -8602*k - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(343) + sqrt(343)*3 - sqrt(35)\/(sqrt(5) + sqrt(25)\/sqrt(5) - sqrt(5)))**2 - (0 + sqrt(63) - (1*sqrt(7) + -3) - sqrt(14)\/(2*sqrt(4)\/sqrt(2))).\nAnswer: -3*sqrt(7)\/2 + 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, w: 6}. What is prob of sequence ww?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 86242*p*u**2 + 2*p*u - 1720*p - 2*u wrt u?\nAnswer: 172484*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/5, 2, 1.4, -7, 5\/3?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*w + 4*w - w = -12*w - x + 22, 12*x = 264 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/(-2 - -1 - (-45760)\/45776) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/80*52 - (-2)\/5. Solve 5*g - 35 = -5*s, -2*g - t*s + 2 = -16 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39208*d**2 - 39188*d**2 - 39012*d**2 + 117611*d**2.\nAnswer: 203*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u - 5. Let b be j(4). Suppose 3*w - z = -185, -2*z + 152 + 38 = -b*w. Let x = w + 100. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -14, -8\/1087, 2, 0.2?\nAnswer: -8\/1087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.59323 milligrams to nanograms.\nAnswer: 8593230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 13*i - 54*i**2 - 15*i + 2*i**3 - 13*i - 11*i + 50*i in the form r*i**2 + p + g*i + j*i**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 48883?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 12 = 5*x, 0 = 5*o - x - 44. Let m be 96\/3 + o\/(-4). Calculate the highest common divisor of m and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j + 42. Let o be k(19). Sort -0.1, o, -4, -0.39 in ascending order.\nAnswer: -4, -0.39, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 142 - 100. Let t = m + -41.981. Let b = t + -0.0189699. What is b rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k. Let j be y(-1). Let n be (-6)\/j*20\/(-135). Let t = 4 - 3. What is the third smallest value in n, t, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s + 2. Let m(g) = -63*g - 28. What is -3*m(d) - 42*v(d)?\nAnswer: 147*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3866  (b) -4  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 285934, 286348, 287038, 288004?\n\"Answer: 138*j**2 + 285796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -3*q - 6. Let t(x) = 2*x + 6. Let r(w) = 2*t(w) + 3*z(w). Let b(s) = -5*s - 5. Give 6*b(i) - 5*r(i).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 114 = 123, 5*q - n - 43 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 6192 to the nearest 100.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2934 is divided by 266?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) - sqrt(48))**2 + 0.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*c - 5*c + 24*c**3 - 2 + 10*c**2 + c - 26*c**3 to the form d*c**2 + j*c + t + w*c**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7079*w + 7080*w - 14 = 4*b + 46, -5*w - 22 = -6*b - 112 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1426844916?\nAnswer: 2, 3, 7, 269623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o**2 - 6*o + 8. Let h(s) = -2*s**2 - 12*s + 4. Let a be h(-6). What is the remainder when 159 is divided by g(a)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -72032319.0054 + 72023274. Let j = -9097 - r. Let v = j + 52. What is v rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**0)**(18\/7)*(o**6\/o*o)\/((o*o**(-3\/4)\/o*o)\/o))\/(o*o*o**(-3)\/o*o*o*o\/((o**2*o)\/o)*(o**(2\/5)\/o)**38) assuming o is positive.\nAnswer: o**(611\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + 7*f + 9. Let m be o(-6). Let j be 3*1\/1 - m. Let w(y) = y**3 - 24*y**2 + 62*y + 36. Let v be w(21). Solve j = -2*z - z - v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 14 + 3 = 5*t, 4*u = 4*t - 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -1366 + 1358 + 3*c**3 - 2*c**3 + 14*c - 8*c**2. Let s be a(6). Let r be (12 - -3)\/3 - 2. Solve 3*o - 6 = s*h + 4, 0 = -r*o - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 387058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1419.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2 + 0)*(-3 + 6 - 1)*(2*z - 6*z + 2*z)*(1 - 4 + 5 + (3 - 1 - 1)*(-2 - 1 + 4) + 4 - 4 + 4) in the form k*z + c and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/((-6)\/9 - 0). Let b(g) = 2*g**2 - 11*g - 14. Let p(h) = -h**2 + h + 2. Let n(m) = -b(m) - 6*p(m). Is n(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -2*w**2 + 3*w - 7. Calculate m(7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5\/2 + 13\/4*n + 9\/4*n**2 = 0 for n.\nAnswer: -2, 5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -5*d - 16 - 59, -4*g = -2*d - 50. Calculate the least common multiple of g and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -242*c + 468. Let j be i(-9). Calculate the highest common factor of j and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 40, -1, 10 in decreasing order.\nAnswer: 40, 10, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1550847 - 7*p + 1550847.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1510*f - 1465*f - 242550 = 0. What is the greatest common divisor of f and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 - (-9 - (-4 + -7) - 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 9 + 2. Find the common denominator of 31\/8 and 457\/(-176) - (f + (-16)\/(-2)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3*1\/6)\/((-1)\/8). Let p(s) = -s**2 - s - 1. Let v(t) = -29*t**2 - 4*t - 42. Let a(q) = n*p(q) - v(q). What is the derivative of a(k) wrt k?\nAnswer: 50*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 99 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 0\/(-3) - 9548\/(-1892)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -804 - -804. Let q = -49 - -46. What is the nearest to t in -4, q, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**4 + 7*y**3 + 7*y**2 + 17*y. Let w(c) = c**4 + 4*c**3 + 4*c**2 + 8*c. Let b(q) = -4*u(q) + 7*w(q). What is the second derivative of b(s) wrt s?\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(65) + sqrt(65)*-2)*-3)\/(3*sqrt(180)*1).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 427 - 460.2. Let i = 33 + -66. Let l = q - i. Which is the closest to l?  (a) 0  (b) -6  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (198\/24)\/(-2*3\/(-16)). Let b(j) = -7*j - 1. Let d be b(-1). Suppose 0*f - d*f + 24 = 0. Solve f*l - 2*t = -3*t + 7, -4*l + y = -2*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -2*y + t + 6, 3*t - 10 = -5*y. Let z = -0.1 + 0.1. What is the closest to z in 5\/4, 1\/7, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -3*o + 24. Let h = -2 - -15. Let v be x(h). Let n be v\/20 - 2\/(-4). What is the closest to n in 2, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1908 + -1907. Let y be ((-217)\/(-7) + -1)*g\/4. Let 0 + 5\/2*r**2 + y*r = 0. Calculate r.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 525 divide 14528812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4\/3, 0.3, -4, -0.4, 2595, 38.89?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + 6*p + 7. Let g be w(-2). Sort -4, -5, g in ascending order.\nAnswer: -5, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26173*y + 4881*y - 303959 = 3881*y - 102575 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 1100 = 2*y. Let x = y + 6053\/22. Let v = -36877\/5980 - -5\/299. What is the common denominator of x and v?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -10\/3  (b) 4  (c) -1\/6  (d) 42  (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -36.9 - -35.9. What is the closest to 1 in -0.8, 3\/5, 4\/5, b?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + (-51 + 19 + -6 - -19).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 390 and 30342.\nAnswer: 151710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 8*w - 12. Let r be k(3). Suppose -2*h + 2942 + 2967 = -r*z, -4*h + 11816 = -4*z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78) + 1*(sqrt(78)*1 + sqrt(78)) - (sqrt(78) + (sqrt(78) - sqrt(78)*-1)*5))\/(sqrt(30)\/((-1*sqrt(15))\/sqrt(3))))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 16. Suppose f = 5*q - 2*q. Suppose -h - h - h**3 - 5*h**q + 2*h**2 = 0. Calculate h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/15 of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -46584 (base 9) to base 5\nAnswer: -1443344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 4 = -t. Suppose -3*o - 35 = -4*l, -3*l - t*o - 12 = -4*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 715\/((-42)\/(-24) + 6\/(-8)). Suppose p = -5*g + 3410. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 1.02. Let m = -1276.5 + 1028. Let g = m - -248. Which is the biggest value?  (a) 1\/5  (b) i  (c) 3  (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 + 362451335\nAnswer: 362451334.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -136 by -223.\nAnswer: 136\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8b1 (base 15) to base 5.\nAnswer: 30331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 23 = -5. Let x = 18 + q. Suppose x = 4*h, -b - 4*h + 117 = -13. What are the prime factors of b?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**2 + 4*j + 3. Let n(a) = -3*a**2 - 5*a - 4. Let u = -153 - -149. Suppose -4*z + 48 = -20*z. What is u*w(l) + z*n(l)?\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (23 - 11*q**3 - 23)*(-3*q + q + 5*q) + (35*q**2 - 14*q**3 - 35*q**2)*(-4*q + 3*q - 2*q) as d*q**2 + z + k*q**4 + t*q + f*q**3 and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 12*d - 1. Calculate w(2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 259, 943, 1629, 2317?\nAnswer: 3007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12 - -21. Find the third derivative of p*h**3 - 2*h**2 + 6*h**2 - 7*h**3 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 1317*z - 18396. Calculate l(14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - -21.745077?\nAnswer: 21.245077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4, 8, 20?\n\"Answer: 12*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -120, -120, -118, -114?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(6\/5)*a*a)\/a)\/(a\/a**(1\/11))*(a\/a**(-2\/11))\/(a**(-12\/5)*a))**(-5\/4) assuming a is positive.\nAnswer: a**(-213\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -106 + 112. Let b(i) be the third derivative of -1\/60*i**5 + 0 + 0*i - 2*i**2 - 1\/6*i**3 + 1\/120*i**x + 1\/24*i**4. Determine b(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.2 + -0.2. Let h = 10.8 - 11. Which is the third biggest value?  (a) n  (b) -4  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25148 divided by 6287.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002856502637 to 6 dps.\nAnswer: -0.002857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 + 7*l - 4. Let c be v(-8). Let p(b) = b**2 - 3*b + 1. Give p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qdddiahqidldllqhdl. Give prob of sequence hl.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1210 - -1225. Put 93, s, -5 in decreasing order.\nAnswer: 93, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + -3)*36\/4. Let v = k + 34. Suppose 0 = -14*j + 10*j + v. Sort -2, -4, j in descending order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*c - 4*c + 12. What is the smallest common multiple of 4 and -6*(c\/(-6))\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.18 - -16.88. Let z = -12.7 + g. Let m = -0.2 + 0.4. Which is the nearest to 0.2?  (a) m  (b) 5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26951838?\nAnswer: 2, 3, 97, 46309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -5*z - 10, 2*z - 2 = -3*h. Let m(y) = -y**2 + 14*y + 915. Let t be m(38). What is the third biggest value in h, t, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38745 = -883*b - 49*b - 503*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000114662524 rounded to seven decimal places?\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 2*x**2 - 13*x - 1. Let v be y(7). Solve 2*j = 2*s, -2*j = -0*j + 4*s - v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 29 + -29.68. Let n = d + -2.32. Put 2, 3, n in descending order.\nAnswer: 3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4992 divided by 8?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 33, 112, 323, 732, 1405, 2408, 3807, 5668?\n\"Answer: 11*l**3 + 2*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -886 + 888. Solve -5*w + 1 = i*d + 22, -w + d = 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -1. Let c(z) = 2*z - 8. Let r(k) = -c(k) - 3*m(k). Does 12 divide r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of 4402*m**5\/5 - m**2\/2 - 937*m - 7940. What is the second derivative of y(f) wrt f?\nAnswer: 52824*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*g - 2 + 2)*((-3 + 4 - 3)*(-5 + 4 + 0) + 1 + 3 - 5 + (0 + 1 - 6)*(-5 + 16 - 6)) in the form s*g + c and give s.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/3*2\/(-1). Let p be (-15)\/6 + 51\/34. Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/131 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -124 + 115. Let n = -77.8 + 77.8. What is the closest to 1 in -0.1, 4, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 2\/5  (b) 1  (c) 0.1  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 11*p. Let h(x) = -x**2 - 22*x - 4715. Calculate l(h(i)).\nAnswer: -11*i**2 - 242*i - 51865","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12773?\nAnswer: 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3388 and 176?\nAnswer: 13552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -363*t**4\/2 + 81576*t**3 - 9061764*t**2 - 23464224*t - 15016344 = 0. What is t?\nAnswer: -14\/11, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 - 4*s - 18. Let x be z(7). Sort 4, x, 5, -4 in decreasing order.\nAnswer: 5, 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - 4 - (12 + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 3*k**2. Let h(d) be the first derivative of -d**2 + 8. Give h(u(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 24 = f + 11, -15 = -3*f. Let y be 5*-76*(-1)\/g. Suppose -2*u - 2*q + y = u, -2*u = -5*q. What is the remainder when u is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2*g + 520 + 125 = 0, g - 122 = -l. What is the remainder when l is divided by 40*((-4)\/(-3))\/((-10)\/(-12))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of t**2\/2 + 4*t + 5. Let j(d) = d**2 + 0*d - 3*d + 3*d**2 - d**3 - 4. Let i be j(3). Calculate s(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2.19 and -3046111662435?\nAnswer: 3046111662437.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9\/4 in -108, 1\/5, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + -4 - ((-120)\/(-32) + -8). Suppose -4*v - 22 = -58. Let y be (-4)\/(-24)*v + -2. Which is the fourth biggest value?  (a) y  (b) 0.4  (c) -0.3  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10.2 + 14.912. Let n = u - 4.31. What is n 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 remainder when 31 is divided by (1*-4)\/(5\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 2\/867  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 125 and 210?\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*m - 37058 - 31483. Let i = -1431 - -563. Let d = m + i. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/20  (b) 1\/6  (c) -2  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.02  (b) -0.1  (c) -1\/7  (d) -1  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.062 + -0.562. Let n = 4.89 + 0.11. Let q = -0.121 + -0.179. What is the fourth smallest value in s, q, 6, n?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 19 = -6*t + 3*l, -17 = -2*t + 5*l. Let g = -5 + 8. Let y = t - g. Calculate the greatest common divisor of 72 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*q**3 + 5*q**3 - 3*q**3 + (3*q - 2*q**2 - 3*q)*(2*q - 3*q + 2*q) + 0*q**3 + 2*q**3 - 3*q**3 + 533*q**2 - 21*q**3 - 533*q**2.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 6*w + 3 - 4*w**2 + 4*w**2 + 4. What is the tens digit of s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -564 - -565. Put -3, 5, o, -1 in increasing order.\nAnswer: -3, -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -4504*u**2 + 13540*u + 13. Determine v(3).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 6*o + 6*o**2 + 3*o**2 - 2*o - 10*o**2. Suppose 4*y = 7 + 9. Determine l(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18227*v**3 - 18492*v**3 + 36731*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - -11 - (-7 + 8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*v + 198*v - 32*v - 35*v - 116*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1119300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 11 = -4. Let p = 29\/5 - 6. Put p, -2\/3, a in descending order.\nAnswer: a, p, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -u - 6, -c + 3*c - 6 = -5*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 6*t + 5 = -8*t, -t = b - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 2*f - 634, -f - f + 640 = 4*u. Suppose 0 = 5*t - 34 - f. Is 38 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 385, 5, 35, 3 in decreasing order.\nAnswer: 385, 35, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*33\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.23 - 1.2. Let n = -0.13 + h. Sort n, -2, 0 in descending order.\nAnswer: 0, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*v**2 + 984*v + 987.\nAnswer: -3*(v - 329)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 5, l: 2, m: 8, z: 2}. What is prob of picking 1 z and 1 l?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 84.13934ml?\nAnswer: 0.08413934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*y**3 + 3*y**3 - 5*y**3 + 12*y**2 + 2 as r*y + q + n*y**2 + i*y**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 5*j - 10, -4*v = -5*j - 7*v + 14. Suppose 0*g - 3*w - 1 = -j*g, -g = w - 2. Let z = 2 + -1. Solve -z - g = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -2*t - 6. Let x be u(3). Let g be (-2)\/((-39)\/x - 3). What is the common denominator of -63\/5 and g\/(-20) - (-9)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221538535 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 840*p + 47606. Determine o(-57).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -10. Let c be 8 - (6\/2 - 1). Suppose -4*t - 17 = 5*d, 8*d - 5*t = 7*d + 14. Put n, c, d in increasing order.\nAnswer: d, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -15 - -1a9a93?\nAnswer: 1a9a7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0140885004 to six decimal places.\nAnswer: -0.014089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 - 15*p**2 - 17*p + 32. Let t be z(16). Suppose -3*g - 2*g + 10 = 0, -t = -m + 3*g. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 4 = -1, -4*i + 19 = 3*l. Which is the third biggest value?  (a) 18\/7  (b) 1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -250598, -501195, -751792, -1002389, -1252986?\nAnswer: -1503583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 29848 and 24837176.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 19765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 smaller than 19120\/509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 77.627286 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**3 - x**2 - 3*x + 2. Let d(n) = n**2 - n. Let p(b) = -2*d(b) + f(b). Suppose -15 = -5*r + 5*u, 5*r + 5 = -u + 2*u. Give p(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2*a + 7 = 0. Let r = -1 + a. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57 divided by -129.\nAnswer: 19\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1936553 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.034  (b) 0.4  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 2*o + 378 = -2*o, 4*o = 3*m - 222. What is the least common multiple of m and 5\/((-105)\/(-522)) - (-6)\/(-7)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 - 22*c - 22. Let a be x(-15). Let b(d) = 10*d + 11. Let u be b(-4). Let q = a - u. What is the greatest common divisor of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 219*h = 20023571 - 1698050 - 644118. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 96553.8 millilitres?\nAnswer: 96.5538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-5*(-5 + -6*(-3 + (-5*(0 + sqrt(11)) - ((sqrt(396) - (1 + sqrt(396))**2) + sqrt(396)))*-6)).\nAnswer: -3600*sqrt(11) + 286100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 8*l. Is 16 a factor of z(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1309\/(-462))\/(75\/225)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a gram in milligrams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5700 - 1937785322.7\nAnswer: -1937791022.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1411 - -671. Let m = 740.0000714 + q. Round m to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g + 6. Let j be i(-6). Let p be (-2)\/13 + j\/78. Let m be 2\/(-5) + (-168)\/(-70) + 0. Solve p*u = m*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 392 + -785\/2. Which is the third biggest value?  (a) -1\/5  (b) r  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7*(-830)\/19754*6\/15?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 - (-6)\/(6\/112*4). Suppose -m + 4*a = 6*a - 104, 0 = 5*a - 15. Calculate the greatest common divisor of m and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14\/55 < 523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*h**2 + 2*h**2 - 123*h + 122*h - 7*h**2 to q*h + r*h**2 + f and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uufu when four letters picked without replacement from {u: 6, f: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4332929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -11. Suppose 23 + 7 = 3*v - 3*u, 3*v - 16 = -4*u. Let m be 1\/(-15) - 17\/((-204)\/v). Put m, k, -0.4, -2 in increasing order.\nAnswer: -2, -0.4, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 - 70*k**2 + 8*k - 556. Give h(70).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 48*n**2*v**2 - 50081*n**2 + 52*n*v**2 - 4*n + 5*v**2 with respect to v.\nAnswer: 96*n**2*v + 104*n*v + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 divided by 223?\nAnswer: 59\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58948 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75269196?\nAnswer: 2, 3, 696937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -34\/2695 and -77\/40?\nAnswer: 21560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/((k\/k**(8\/7))\/k))**(27\/2)\/((k*(((k\/((k*k*k\/(k*k**(-2\/109)*k*k*k))\/k*k))\/k)\/k)\/k)\/(k**4*k)) assuming k is positive.\nAnswer: k**(51803\/1526)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 399 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*h**3*i*y**3 - 3*h**3*p + 7232*h**3*y**3 - h**3*y + 3*h**2*y - h*p*y**3 - 52621*i*p + 2*y**3 wrt p?\nAnswer: -3*h**3 - h*y**3 - 52621*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pggm when four letters picked without replacement from mmgmmmmgmemep.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12, 274, -5?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 2*k - 5)*(-2*k + 4*k - k) - 6*k**2 - k**2 + 3*k**2 to the form n*k**2 + v*k + u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 12 + 0)*(0*v**3 - 4*v**4 + 0*v**3)*(-313*v + 154*v + 37*v).\nAnswer: -6344*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 + 4*x**2 + 2*x - 15. Let g be z(10). What is the common denominator of 1 + -1 - g\/(-84) and 79\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + 6 + (-5)\/(-3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x**2. Let z(h) = 23076*h + 48. What is z(q(u))?\nAnswer: 46152*u**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -309*c + 4319. Let y be f(14). Are -44 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6164?\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 + 467. Is z(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 3*r - 10, 0*g = g - 5*r - 5. Suppose -g*q - 476 = 2*b - 1388, -3*b + 1347 = -3*q. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + g = 37 - 1, -5*c + 5*g = -170. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -15 - -15. Suppose -4*o + t + 9 = 0, 4*t + 4 = -u. Suppose 0 = -5*r - 25, v = 3*v - o*r. Put -3, 3, v in increasing order.\nAnswer: v, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 819 - 818.9. Suppose -1 = -3*a + 11. Sort 1\/2, a, x, 3 in ascending order.\nAnswer: x, 1\/2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 1458.\nAnswer: -2\/729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60872.1l to millilitres.\nAnswer: 60872100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -132 + 94. Let p = 37.999907 + j. Round p to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -5\/16*u**4 + 5\/8*u**2 + 7 + 1\/4*u**3 - 1\/5*u**5 + 1\/4*u. Let r(p) = 0. What is p?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + 1 - 1)*(q**2 + 4*q**2 - 4*q**2) + 67*q - 6*q**3 - 67*q - 7*q + 7*q - 6*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 2*v + 10, v - w - 4 = w. Sort v, 2, -9 in decreasing order.\nAnswer: 2, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1517 and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6855 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 4*a = -22, -74*a + 72*a = -2*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-84)\/49)\/(338\/(-91))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -5, -7910, 0 in decreasing order.\nAnswer: 0.5, 0, -5, -7910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2263841746?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4*h = 12. Let z(n) be the third derivative of -n**4\/4 - 2*n**3 + 2*n**2. Does 7 divide z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -2*b**2 - b - 1. What is p(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*i*k**3 + 101*i*k**2 + 44022*k**3 - 4695 wrt k?\nAnswer: 54*i + 264132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -0.5, -0.03, 6\/13, -1\/11834, 1\/3?\nAnswer: -1\/11834","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-4024)\/7545*390\/(-24))\/(((-20)\/(-9))\/(-5))\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 79*o**3 + 2211*o**2 - 25*o + 85. Calculate g(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 8*k*l + k + 7*l + 133 wrt l?\nAnswer: 8*k + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -295.43 + 5.43. Let w = r + 297. What is the nearest to 0.1 in -2\/13, 5, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -52739*p**2 - 224*p + 62680886 wrt p.\nAnswer: -105478*p - 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 5*y + 83 = 0, -63207*y + 63208*y = -3*q + 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.2 or -2.17021393?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42 is divided by (9 - 87\/2)*4\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r - 9. Let f be d(12). Calculate the common denominator of 0 + (1092\/32)\/f and 17\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.091, 2, -3, 30.9, -1 in decreasing order.\nAnswer: 30.9, 2, -0.091, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.4  (b) -2\/5  (c) 0.18  (d) -4\/9  (e) 12\/5  (f) -190\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 5*m**2 - 33*m + 158. Is 82 a factor of f(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 11:45 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 394 and 45.\nAnswer: 17730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 5\/2  (b) 0.6  (c) 2\/21  (d) -1\/2  (e) 3  (f) 4713\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44905 is divided by 1181?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 8*o**3 - 11*o**2 + 8*o. Let l(s) = -4*s**3 + 6*s**2 - 4*s. Let d(u) = 5*l(u) + 2*p(u). Let d(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9\/(-18)*(-16)\/(-10)*-5. Calculate the remainder when 87 is divided by 8 - r*(-4)\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 9:29 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 4:01 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 16482415877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -7151125?\nAnswer: -3575562.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is dcc941 + c?\nAnswer: dcc94d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cfxqwqcm. What is prob of sequence qqm?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = s + 3. Let d = 19274 + -19275. Let b be (-1 + -2)*1\/(-3). Put s, b, d, -3 in descending order.\nAnswer: s, b, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 1:38 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 168651 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19387.84 litres to millilitres.\nAnswer: 19387840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*d*g + 245*d - 2*g wrt g.\nAnswer: -5*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, o: 1, x: 12}. Give prob of sequence ov.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 6*d. Let p(y) = y. Let a(w) = 5*g(w) - 35*p(w). Let f(j) = 464*j - 144*j - 157*j - 147*j. What is a(f(h))?\nAnswer: -80*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 4*t - 2. Let z be h(-4). Let y(m) = m**2 + 7*m + 1. Let u be y(-6). Let c = u - z. Which is greater: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - l + g = 2, -4*g - 1 = -5*l. Let y be l\/12 + -199*(-2)\/(-8). Let a = y - -54. Solve 4 + a = -4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y = -5*u + 19, -62151*u + 62144*u + 5*y = 28 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -5*m + 2 + m**2 + 0*m + 8*m. Let r(w) = -7*w - 4. Let i(a) = 20*a + 12. Let s(z) = 4*i(z) + 11*r(z). Let o be s(-3). Give h(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1087 = 1437*t - 1436*t - 103. Calculate the lowest common multiple of t and 40.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -793.28 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 20425*w + 1348026. Determine r(-66).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 32\/13 in -14, 4, 2\/9, 1\/3, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 228669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + 10 - (-6)\/4) + 308\/616.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -12. Let j(k) = 2*k - 6. Let u be j(m). What is the highest common factor of u and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*p**3 - 3804*p**2 + 168256*p + 48384.\nAnswer: 2*(p - 216)*(p - 56)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/7)*c\/c**(-3)*c**5*c*c*c**(10\/3)*c)\/((c\/((c\/c**(3\/10))\/c)*c)\/c**8*c**(2\/11)*c*c**6*c) assuming c is positive.\nAnswer: c**(28697\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 10716056851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, a: 2, q: 1}. What is prob of sequence ee?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 1. Is 12 a factor of 4\/6 + (-1)\/p*1436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -123\/560 and 53\/514040.\nAnswer: 7196560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 468 divided by -8\nAnswer: -117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - 2*n + n)*(4*n - 11*n - 4*n)*(-1 + 3 - 5) + 2*n**2 + 0*n**2 + 2*n**2.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 25*w - 5. Let y(b) = 26*b - 6. Let r = -645 - -650. Calculate r*y(v) - 6*g(v).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -3*v**4\/5 + 2*v**3 - 12*v**2\/5 + 6*v\/5 - 1\/5 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.611458 + -3.4654673. Let q = -1.72 - -1.866. Let a = f - q. What is a rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 363 and 3509?\nAnswer: 10527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 7. Let j = -9 + w. What is the closest to 2 in -3\/2, j, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39, -87, -149, -231, -339, -479, -657, -879?\nAnswer: -1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 719 divide 550337699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -407*t + 237*t - 2170 = 2590 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f + 18. Let q be p(-18). Suppose 30 = v - o + 4*o, -5*o = q. What is the greatest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/(-8) + (-318)\/424 + 19 + -12. Determine l so that -1\/2*l**2 + 8 + h*l = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 - n - 1. Let q be y(2). Let t = q + 11. Suppose -a + 2*a - 9 = -4*x, t = -4*a + x + 70. Solve 2*c - 4*s = 10, -5*c - 6*s + 2*s - a = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 41804 and 2986?\nAnswer: 41804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 192*s**3 - 3*s**2 - 33*s - 9. Let c(n) = -96*n**3 + 2*n**2 + 17*n + 5. Let o(x) = -9*c(x) - 5*d(x). What is the third derivative of o(f) wrt f?\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 445735 is divided by 285?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of -351*f**3 - 29*f**2\/2 - 987. What is the second derivative of y(z) wrt z?\nAnswer: -2106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1188373700 to the nearest one hundred thousand.\nAnswer: 1188400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 118 - 129.4. Let b = a + -3.6. Let j = 14.99993 + b. Round j to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/(-15))\/(4\/(-10)). Let p(r) = r + 2. Let y be p(-2). Suppose -i - i - 4 = y. Do u and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 40477 and -10087.\nAnswer: -408291499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - 2*t - 3. Let v be k(-3). Suppose 3*g + 2*g - 15 = 0. Suppose v = -g*b + 3. What is the third biggest value in b, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 smaller than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -3 - -4*1\/4*225 is divided by 113?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 2\/386889?\nAnswer: 2\/386889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in fifty-seven fifths of a millisecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5075, 41506, 140387, 332942, 650395, 1123970, 1784891?\n\"Answer: 5204*j**3 + j**2 - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 23688 divided by -47\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2*d**2 - 3 + 1.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-12)\/7 + 2)\/((-108)\/(-581)) and 61\/10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44185 = 39*t - 42313 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -36 - -51. Let g = 11 - k. Is g bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1743440 and 91960?\nAnswer: 210956240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + -13 + -3)*-1 + 15\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -49 - -104. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - 5. Let s(n) = -n**2 + 3*n - 3. Let z(u) = u**2 - 2*u + 3. Let x(a) = -6*s(a) - 5*z(a). Let h be x(8). Solve -j*y + 3 = g, h*g + 4*y - 2 = -1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1981600450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11\/340, -0.14, 7\/6 in descending order.\nAnswer: 7\/6, -11\/340, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212 (base 6) to base 14.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((36\/2)\/(-18))\/(2\/8*(-16)\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -18665.3 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o, 4*l = -o + 2*o + 8. What is the derivative of -2*r + l*r + 0*r - 5*r - 12 wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 - g + 24. Let y be z(0). Suppose -2*b + 54 = 4*t, 2*t = -5*b + y + 15. What is the third derivative of -t*r**5 - 4*r**2 + r**6 + 12*r**5 wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*u**3 - 4*u - 8*u**3 + 6*u as t*u**3 + y*u + q*u**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -11, -1.17, -2\/11, -10\/11, -2\/17, 0.1, 0.08?\nAnswer: -1.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 8*v**2 - 2*v - 1. Let o be l(-1). Suppose 36 = 12*t - o*t. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (330\/(-14))\/(-1) - (-99)\/231. Let p(j) = -j**3 - 3*j**2 - 5*j - 3. Let h be p(-4). Let n = h - k. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-54))\/(24\/36)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 0, -3175 in ascending order.\nAnswer: -3175, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/2, 2\/5, 3, -2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81074?\nAnswer: 2, 7, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*q - 307 - 203 + 11)*(3 + 0 - 1)*(-4*q - 7*q + 33*q - 2) in the form s + b*q + p*q**2 and give p.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k + 4*r + 18, 2*k - 6*k = -4*r. Does 7 divide ((-6)\/k)\/(3\/68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 174, -4, 82 in increasing order.\nAnswer: -4, 5, 82, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 19 - 320 = 3*v, -3*q + 12 = 0. Let r = 691\/7 + v. What is the nearest to -0.1 in -17, 2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 - 3*j + 45. Calculate the remainder when z(0) is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -473 - -475. Solve -81 + 14*t**2 + 2*t**3 + 162 + t**s + 63*t - t**3 = 0.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1099358953?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 50, 2, 5, -3, 25464 in decreasing order.\nAnswer: 25464, 50, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1220 and 3516260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(88) + sqrt(88) + sqrt(88))*3)\/((sqrt(144)\/sqrt(3))\/sqrt(6)) - (1 + sqrt(539) - (sqrt(11) - 6*sqrt(1100))).\nAnswer: -57*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2016 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36*26\/(-273)*28\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = n + 7, -2*n - 3*n - x = -10. Let f(w) = 169*w - 15. Let i be f(1). Suppose -n*s = -4*s + i. What are the prime factors of s?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 610 and 1826340.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k + 1. Let r be z(-2). Sort -13, -5, r in increasing order.\nAnswer: -13, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -226386 at least -226386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0*i - 6 = 0. Suppose 0 = -3*q - i + 21. Calculate the remainder when 10 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19970522.\nAnswer: 2, 11, 13, 69827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 5*k**3\/6 - 20*k**2\/3 - 15*k\/2 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2 + 6 - 4 + a. Let v be g(-6). Let r = 6 + v. Calculate the lowest common multiple of r and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 67.2 in -7, 23\/4, -1\/12?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together -273 and 10658643682.77.\nAnswer: 10658643409.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-70)*(-90)\/(-12). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271494?\nAnswer: 2, 3, 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1396675\/(-422100) - 10\/(-3) and -5\/402.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -11*l + 20. Let p(o) = -5*o + 9. Give 10*p(m) - 4*x(m).\nAnswer: -6*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -96 + 75. Let i be (-240)\/35*q\/2. What is the highest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 2:19 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9783 a factor of 1711222794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-7) + 6\/(-28). Let d = 93\/4345 - -672237\/3914845. Let j = d + -4\/53. Which is the nearest to o?  (a) j  (b) -0.3  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the second derivative of 2*r**4 + 1\/6*r**3 + 0*r**2 + 17 + 1\/2*r**5 + r. What is the third derivative of p(f) wrt f?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 8*v**3)*(-4*v - 72 - 2*v + 71)*(-1 + 1 + v).\nAnswer: 48*v**5 + 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 2*c + 0*c)*((-3*c**2 + 0*c**2 + 2*c**2)*(-3*c + 3*c + 2*c) - 2*c**3 + 2*c**3 + 3*c**3 + 1 + 2*c**3 - 1 + 2*c**3 + 3*c**3 - 6*c**3).\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 11.5, -10, 2\/13, -5?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)*6 + sqrt(7))*-1 + 0 - ((-1*sqrt(77) - sqrt(77))*-1)\/(sqrt(550)\/sqrt(2)).\nAnswer: -157*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 4*q**2 - 5*q - 4. Let v be u(5). Let s(l) = 3*l**2 - 2*l + 6. Let f be s(-5). Let h = v + f. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q**2 + 4*q**2 - 3*q**2. Let c(p) = -9*p. Let f = -29 + 33. Let l(w) = -25*w. Let t(x) = f*l(x) - 11*c(x). Determine j(t(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 24401a (base 14) in base 11?\nAnswer: 777957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -36*q + 164. Let c(u) = -35*u + 135. Determine 6*c(o) - 5*m(o).\nAnswer: -30*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2558*l*z + 3394*l with respect to z.\nAnswer: 2558*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) 1\/9  (b) 378  (c) 2\/13  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11186233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 4*q - 48 = 0. Let f be 2\/((-48)\/(-100)) + 2\/q. What is t in -22*t + 64*t**4 - 25*t**5 + 22*t - 24*t**f + 20*t**3 = 0?\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 18, 19, 20, 21?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlljdhklljltlltldl. What is prob of picking 2 d?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31 - 25. Let o(h) = h**3 - 4*h**2 + 8. Does 16 divide o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 29  (b) 0.5  (c) -2  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 60 and 9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.16 - -1.46. Which is the smallest value?  (a) 23  (b) n  (c) -1\/6  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-4 + 0)\/(-6 + 5) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 1334*d + 98743. Determine u(-74).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -28, 0, 149 in ascending order.\nAnswer: -28, -5, 0, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1423 - 3?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 4*f - 5. Let d(y) = 10*y - 6*y - f*y - 3*y. Let k(j) = 2*j - 3. Let r(i) = 10*i - 14. Let v(a) = -14*k(a) + 3*r(a). Calculate d(v(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x + 812 + 1153. Suppose 528 = 4*b - o, -x = -2*b - 3*o - 129. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -3*y + 11. Suppose 9*p - 3*p - 12 = 0. Suppose 0*a - a - 5 = 5*n, 0 = -2*n - p*a - 10. What is the remainder when 42 is divided by j(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wxcxwxwxcwc. What is prob of picking 1 w and 2 c?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**4\/i)\/(i*i\/(i*i**(-4\/9)*i))*(i*i**(3\/10))\/(i\/(i\/i**(-1\/4))) assuming i is positive.\nAnswer: i**(919\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-220)\/(-3) + (-14)\/(-21). Suppose 2*s - 5*x = 3*s + 2, 3*x = 5*s - w. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and -1.8525?\nAnswer: -3.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 39220063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 + 4*p**2 - 4*p**2)*(63*p - 217*p + 4*p).\nAnswer: 300*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = -3*w + 52 - 65, -4 = v - w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/(-4)*0 + 8. Let q be (-51)\/60 + 2\/b. Let w = 0.15 - 0.35. What is the biggest value in -2\/5, w, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4234881 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**3 + 13*f**2 + f - 20. Let d be j(13). Let m be 19\/d - (-4 + 180\/42). Is (-7902)\/(-12)*(-1 - m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 151848 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from sssssssmsssmsssmssss.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*d = -862*d - 396*d + 61364 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -497 + 496.7. Which is the closest to 1?  (a) 0.3  (b) 2\/13  (c) -8  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2101, 2699, 3305, 3919, 4541, 5171, 5809?\n\"Answer: 4*a**2 + 586*a + 1511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/124*9\/(-6). Let h = a - 43\/124. Let y = 2.07 - 5.07. What is the closest to h in y, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3563395*y**4 + 61*y**2 - 9010*y - 3 wrt y?\nAnswer: -85521480*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 1 = -20*g + 24*g, 4*d = -3*g + 17. Suppose 11*c = 2*p + 7*c - 400, -5*p + 995 = -d*c. List the prime factors of p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303488006 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (71\/10 + -7)\/((-1)\/(-10)). What is the closest to n in 0.3, -12, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 78 and (1\/(-2))\/(2 + 579\/(-288)).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 3*d = 1 - 7, -a + 2*d - 3 = 0. Let k(u) = -u + 1 + a*u**3 + 4*u**2 - 4*u**2 - u**2. Determine k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29283 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -7\/30 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*l + 7*l + 70 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 96 - 9. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -10\/13*a**2 + 0 - 2\/13*a**5 + 6\/13*a**3 + 2\/13*a**4 + 4\/13*a = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 6*w**2 + 2218*w + 25173. Calculate z(-358).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (-5 - (26 - 25 - (1 + 3))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4083 + -4078. Suppose -3*g - 2*g = 20, 4*g - 13244 = -5*v. Suppose -v = -b*d - 7*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/30)\/(28*(-2)\/(-210))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**5 - 14*u**4 - 69*u**3 - 136*u**2 - 80*u = 0 for u.\nAnswer: -5, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 AM and 1:48 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3*m + 3. Let b(c) = -3*c - 5. Let i(k) = 3*b(k) + 4*u(k). Let n(r) = r - 1. What is -i(x) + 2*n(x)?\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 AM and 2:32 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2271 = 3*k - 0*k. Let v be 12878\/(-8) + -1 + (-3)\/(-4). Let d = k - v. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 0 + sqrt(612) + -5 + (3*sqrt(612)*-1)**2 + -2.\nAnswer: 6*sqrt(17) + 5499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, s: 2}. What is prob of sequence zzs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4166238 (base 10) to base 13\nAnswer: -b2b43b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 57, 0, -49.\nAnswer: -49, 0, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-800)\/(-56) - 4\/7)\/(((-540)\/21)\/90).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 7 = 15. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 33, 22, -5, -54?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -9.65 and -12.\nAnswer: 115.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of -g**7\/10080 + g**5\/480 - g**4\/4 - 8*g. Let j(l) be the third derivative of i(l). Find f such that j(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 776\/9 - 7499\/90. What is the common denominator of i and -103\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -72  (b) -0.4  (c) -2\/9  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -60 - -64. Sort -1, c, 2 in increasing order.\nAnswer: -1, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 38562945 and 65.\nAnswer: 501318285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -12*s - 8. Let m(l) = l + 1. What is -10*m(x) - o(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2061, 2042, 2011, 1968, 1913, 1846?\n\"Answer: -6*u**2 - u + 2068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 5. Let j be (-4 - -6)\/(2\/3). Suppose -6 + 0 = -j*y. What is the remainder when u is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4.453 and -0.2.\nAnswer: -4.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Solve 0 = -4*y - 453*m + 450*m - 1, 0 = 5*y - 4*m - 53 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.062344045 times 8\nAnswer: -0.49875236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r + 1310074 = 408074. What is r rounded to the nearest 1000?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3503 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 AM and 11:49 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 299 - 399. Let y be (z\/15 - -2)\/(2\/3). Let f(c) = -c - 9. Determine f(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 5, r: 2, l: 2}. Give prob of sequence rc.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1909290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -139\/23 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51 divided by -9662.\nAnswer: -51\/9662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -7*m - 38. Let v be a(-7). Suppose -19*b + v*b = -1344. Let g = 6 - -15. Calculate the highest common factor of b and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-2\/9))\/y)**(1\/4) assuming y is positive.\nAnswer: y**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 106, 212, 318, 424, 530, 636?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 320 and 36.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 313 + -287. Let q = t + -26.05. What is the nearest to 1\/5 in -3, q, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.8*0.02\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, z: 4}. Give prob of sequence zzsz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832) - 1*-2*sqrt(832) - sqrt(832))**2*5.\nAnswer: 16640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of (84\/(-8))\/7*-24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:14 PM and 5:02 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343) + sqrt(343) + -1*sqrt(343)*1)**2 + sqrt(343)*-2*-2 - ((sqrt(343) - (sqrt(343) + -2 + sqrt(343))**2) + -1)*-2) + 4.\nAnswer: -2407 + 154*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1904 - -1087. Let k = -483 - v. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2520 is divided by 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (4 - -1 - 13) + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 2*r - 26584, 0*r + r - 4*p - 13299 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -9*i**2. Let o(b) be the third derivative of -b**4\/24 + 18*b**2. Determine z(o(r)).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 5, f: 3}. What is prob of picking 2 f and 2 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 6*a**2 + 6*a - 6. Let c(v) = v**2 + v - 1. Let d be (-15)\/(-5) + -1*2. Let t(x) = d*u(x) - 6*c(x). Find the third derivative of t(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 - -19 - -1 - (-3 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 4883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 7, p: 4}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 5*d = 17, p - 15 + 43 = 4*d for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 3 - 4)*(-2 - 2 + 2)*(-15 - 48 - 50)*(2*z - z + 0*z) in the form o*z + r and give o.\nAnswer: 904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 12. Suppose 0*h = -5*h - i*r - 348, h + 66 = -2*r. Let c = h + 105. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60)\/95*(-3)\/(-9)*4\/8.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) -69  (c) -41\/25  (d) -0.2  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-3 + -3 + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 AM and 7:51 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 139 = -149. What are the prime factors of (-2)\/((-50)\/(-15)) + (-6886)\/a?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -2. Let q be (-6)\/3 + 2 - 10. Let n = d - q. Sort 4, n, -5 in descending order.\nAnswer: 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 103 - 107.988. Let r = -2351.988 - -2352. Let c = r - b. Put 4, 2\/7, 1, c in ascending order.\nAnswer: 2\/7, 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 3*v - 8*v + 40005, -5*c - 2*v = 99998. Round c to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 53*k**2 + 498*k - 5747. Give c(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from elppeelepppegll.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/2*4\/(-4))\/((-13)\/(-4))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 + 49*k**2 + 7*k - 323. Calculate the remainder when 57 is divided by l(49).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 162894 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 m when two letters picked without replacement from ffmffxjj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 341264 (base 10) to base 4\nAnswer: 1103110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3074228745 to the nearest integer?\nAnswer: 55446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 46 - 16. Let b = 3782 + -3706. What is the remainder when b is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 64 divided by 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of 0*j**3 + 1\/2*j**2 + 0*j**4 + 0*j**5 - 7\/30*j**6 + 0 + 7*j. What is the derivative of f(c) wrt c?\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the first derivative of -2*g**3\/3 + g**2\/2 + 30. Calculate d(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 142 = 3*b, 2*h = 4*h + 2*b - 268. Let c = -44 + h. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92 = -0*u + 23*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 240.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 2*s + 32. Let i be d(-15). Let v(b) = 5*b**i + 7 - 3*b - 3*b + 0*b**3 - b**3. Give v(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 plus 230842686?\nAnswer: 230842685.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-4)\/s*s*s*((s\/s**(5\/7))\/s)\/s*s)**(-2\/49) assuming s is positive.\nAnswer: s**(38\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 1011358.4 to the nearest ten thousand.\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 24710952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-14)\/10 + 2\/5. Let o be (u\/(-2))\/((-2)\/(-28)). Calculate the remainder when 29 is divided by ((-50)\/(-35))\/(1\/o).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -245564 - 354?\nAnswer: -246028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 58.5 - 59. Let w be 3*(4\/18 + (-17)\/36). Let c = 112\/3 + -37. What is the nearest to -3\/2 in c, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -q, 3*q = -2*u - 1072 + 13633. Let b = u + -4271. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -408, 2, -1 in decreasing order.\nAnswer: 2, -1, -408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -336 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1977, -2931, -3883, -4833, -5781?\nAnswer: -6727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -161*z + 161*z + 60*z**3.\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -572*p**2 + 1146*p**2 + 2*p - 2*p - 551*p**2.\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.0264 - -42.8264. Let p = l + 1.2. Let o = 41 - p. What is the nearest to -0.2 in -0.5, o, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 12  (b) -1683  (c) -0.5  (d) -141  (e) -0.3  (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of -2188*m**6\/15 - 1254*m**2 + 280*m. What is the first derivative of l(r) wrt r?\nAnswer: -17504*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u + 2*z - 43, 5*u - 2*u - 5*z - 29 = 0. Let v be (-81)\/(-6)*(-12)\/9. Let b = v + 31. Calculate the greatest common factor of u and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5694065 and 4199.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5029969 to the power of 1\/2, to the nearest integer?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 5*w**2 + 360*w = 0.\nAnswer: -72, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*q - 5. Suppose 0*d = 3*d + 4*l + 44, -q*l = d + 33. Let j be 8\/(-3)*6\/d. Solve j*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7211 + -7201. Let v(o) = 13*o**2 - 9*o - 4. Let r be v(7). What is the highest common factor of c and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2250*k**4 + 568600*k**3 - 47918220*k**2 + 1348449528*k - 149236922.\nAnswer: -2*(5*k - 421)**3*(9*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 728234 or 727878?\nAnswer: 727878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 168362088 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10201200 (base 3) to base 8.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 6*j**2 - 7 - 4*j - j**3 + 2*j - j. Let f be s(5). Suppose i - 40 = -5*u + 84, 0 = 5*u - i - 116. What is the greatest common factor of f and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21554 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + -1)\/((-11)\/55)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2 - 8 = -5*r, 0 = -s - r + 24. Let v = -2 + s. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22111 by 2.\nAnswer: -22111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4 + 124*j**3 - 696*j**2 + 1360*j - 896.\nAnswer: -2*(j - 56)*(j - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/13?  (a) -31  (b) 5\/11  (c) -94  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4360 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of -b**3\/6 + b**2 - 7*b. Let u be (0 + 3\/2)\/((-6)\/(-8)). Give s(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*(4 - 48\/9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -2*u**3 + 47*u**2 + 39*u - 85. Is m(16) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 2:07 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + a = -3*a - 14, -5*a = 25 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*f + 5*g, f - 4*g = -g. Let a be -2 + 617 + f + 3. Suppose -4*j + a = -j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29570606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 1. Let c(x) = -x**2 - 9*x - 5. Let l = -47 + 50. Suppose 66*w = 63*w + l. What is w*c(n) - 6*j(n)?\nAnswer: -n**2 - 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -680, -2699, -6064, -10775?\nAnswer: -16832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*p + 916 = 943 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 5160 = -4*k, -14*k - r = -13*k - 1290. Calculate the greatest common factor of k and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3 + -90)*(2 + (-57)\/33). Let y = o - -7151\/319. Are y and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13c (base 16) in base 13?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*h + 0*h - 3*h)*(1 + 0 + 3) + (-h - 2*h + 5*h)*(3 + 0 + 2) to y + p*h and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 168533 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + -2 + -1 + -13 + 4 + 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 128\/325 - 6\/25. Suppose -l = 2*s - 109, 3*l - 5*l + 270 = 5*s. Let p be (-252)\/s + (-6)\/39. Which is the third biggest value?  (a) -3\/7  (b) g  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 942\/83, 5, 11\/1619?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 68864186, 137728376, 206592566, 275456756?\nAnswer: 344320946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -228742419*4\nAnswer: -914969676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 214 divide 219564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of -v**6\/120 + 4*v**5\/15 - 13*v**4\/24 - 3*v**3 + 399*v**2. Calculate x(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, w: 1, n: 3, i: 2}. What is prob of sequence iiio?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = c + 2*c - 51, -29 = g - 4*c. Let v(n) = 2*n + 20. Let l be v(g). Solve l*k + 2 = -0*k, -5*a - 9 = 4*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -5*u + 8. Let b be (-1)\/(-5 + 9 - 5). Suppose -12 = 3*y + 3, -n - 2*y = -b. Let w(r) = -9*r + 15. Calculate n*v(a) - 6*w(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x - 48 = -6*x. Which is the closest to -2\/3?  (a) x  (b) 1\/4  (c) -12\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, b: 3, j: 1, z: 3}. Give prob of picking 2 g and 1 z.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -233 - -548. Calculate the remainder when g is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (11 - (8 - ((8 - 3) + 1)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2. Let b(l) = -15*l. Let f(p) = -29*p. Let s(w) = -5*b(w) + 2*f(w). Determine u(s(c)).\nAnswer: -289*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.01 - -0.001. Round d to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((4 + sqrt(275))**2 + sqrt(275) - (((3 + sqrt(1100))**2 - sqrt(1100)) + sqrt(1100))).\nAnswer: -1636 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 34\/1953 and -43\/1347?\nAnswer: 876897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 5688 = l, -z + 2823 = -49*l + 45*l. Calculate the least common multiple of 7 and z.\nAnswer: 19929","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - -3)*(6 + (-6)\/(-3)). Suppose j + 3 = u. What is the greatest common divisor of 76 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36980 is divided by 90?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0109231 rounded to four decimal places?\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from ctrlhlrocctt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*b + 46 = 47*b. Suppose -18*z = -b*z + 65. Calculate the remainder when z is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 190848 and 98812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a centimeter in micrometers?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/70  (b) 1.3  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = l - 36 - 240, -3*l + 5*y + 947 = 0. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20122050, 40244110, 60366172, 80488236, 100610302?\nAnswer: 120732370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1799835 is divided by 3607.\nAnswer: 3549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1035429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -10 + (-1 - 0) - 4. Calculate the remainder when (6\/s)\/(2\/(-265)) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43 * 0.71\nAnswer: 30.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.3075 * 3\nAnswer: 0.9225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -8  (b) 23  (c) 3  (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63)\/(2*sqrt(7) - sqrt(7)))\/sqrt(3) + -5*(-1 + sqrt(3)) + 2*(sqrt(3)*-1)**2.\nAnswer: -4*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 2\/125 of a kilometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 9 = 4*v. Suppose -4*j = 3*w + 31, -6*j + w - 43 = -v*j. Let a be ((-4)\/j)\/((-15)\/(-75)). Solve 0 = -2*p + 3*g - a*g + 11, -3*p - g = -14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = y - 8. Find the third derivative of -4*j**y - 7*j**3 + 17*j**3 - 7*j**2 wrt j.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 452262 divided by 226131\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -41, -58, -51, -14, 59?\n\"Answer: s**3 + 6*s**2 - 42*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 1 + -4 + 7 + 9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the second derivative of -5*p**4\/12 + p**3 - p**2 + 5*p. Let g(b) = -9*b**2 + 11*b - 4. Calculate -4*g(c) + 7*m(c).\nAnswer: c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 987*v**3 + 0*v + 0*v - 674*v**3 - 234*v**2 wrt v?\nAnswer: 1878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124 a factor of 129693336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00084537 to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*o**2 + 2087 - 1027 - 1060.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -0.230894.\nAnswer: 0.461788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 take away -5790300?\nAnswer: 5790299.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.07 + -0.12. Let d = l + -0.05. What is the third biggest value in d, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -3, 1\/24, 1\/2, -1.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 75067847 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 5:38 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (228\/6)\/(2\/4). Suppose l - 8 = i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5580421 a multiple of 1507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -2, 3, 1, 339, 6, 0 in descending order.\nAnswer: 339, 24, 6, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18252591 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 - (-6 - ((-21 - -6) + 26))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2\/5))**(1\/10)*((d**(3\/16)*d*d)\/d*d)\/d**6 assuming d is positive.\nAnswer: d**(-1541\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 4, -2 in descending order.\nAnswer: 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-17 - 259)*3\/(-2). Calculate the greatest common divisor of s and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100190934?\nAnswer: 2, 3, 47, 118429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 18 - 0. Suppose 14 = v*u + u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of 1\/6*k**4 + 0 + 2\/15*k**5 - 8*k**2 + 0*k**3 + 0*k. Find the second derivative of y(q) wrt q.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + (-1)\/(5\/(-30)). Suppose 6\/5*g - 2\/5 + 2\/5*g**3 - 6\/5*g**a = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a factor of 775780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = -4*w + 5. Let l = -10 - w. Let n = l + 14. Solve n = -3*h - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 254038*s - 12701906. Determine l(50).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 54  (b) -444\/89  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -2\/9, -5, -3945?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4864 and 32000.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -717*k + 5050*k + 20974 - 512482 = -2309*k for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -249 - -5977\/24. Let p(u) be the third derivative of -2*u**2 - 1\/120*u**6 + 0*u + 0 + 1\/60*u**5 + h*u**4 - 1\/6*u**3. Solve p(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22864 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 6483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1288 + -522. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 324.1965 minutes in hours?\nAnswer: 5.403275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -133\/37638 and 40\/207009.\nAnswer: 414018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 34311 (base 8) in base 2?\nAnswer: 11100011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -90146.7 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 3*u - 4 + u + 4. Let y be n(1). Suppose 0 = y*w - 6*w - 5*g + 4, -4 = -2*w - 4*g. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -s - 1 - 3, 0 = 3*p + s + 4. Find the second derivative of -4*i + 0*i**2 + p*i - 3*i**2 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -6 - -6) + -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -205 - -193.9. Let i = 11 + u. Let t = i - -0.09965. What is t rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 403107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -391, 0.3, 1\/43 in decreasing order.\nAnswer: 0.3, 1\/43, -391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 104, 112, 124, 140, 160, 184?\n\"Answer: 2*w**2 + 2*w + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63124125?\nAnswer: 3, 5, 168331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/6 - 13*b**2\/6 - 7*b\/3.\nAnswer: b*(b - 14)*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*f - 87*f - 14 = 0. Let n(q) = 468*q - 468*q + 18*q**f. Let t(z) = 2*z. What is n(t(c))?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus 558233?\nAnswer: -558232.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -1\/7, 0.23, 4 in descending order.\nAnswer: 4, 0.23, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**5\/11 - 18*g**4\/11 + 16*g**3\/11 = 0 for g.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000012422439 to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 6*a**2 - 17*a + 1. Let q be z(-8). What is the third derivative of q*n**2 + 0*n + 0*n + 11*n**3 + 2*n**2 wrt n?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2332, 2330, 2340, 2368, 2420, 2502, 2620, 2780?\nAnswer: 2988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*h = -5*l - 19*h + 144, -3*l = -2*h - 82. Calculate the remainder when 87 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 461 + -348. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 12:32 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 177769 equal to -92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + -6 - -6 - (2 + (7 - 9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of -j**5\/60 + j**4\/24 + j**3\/6 - j**2 + 10*j + 148. Let i(l) = 4*l**3 - 6*l**2 + 2*l + 5. Calculate i(a) - 3*w(a).\nAnswer: 4*a**3 - 3*a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22080 - -22071. Let p(u) = -3*u**2 - 23*u + 33. Give p(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2707, -10853, -24431, -43441?\n\"Answer: -2716*a**2 + 2*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnnnonnnnn.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 45283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 3. Let x be (-1 - 7\/(-3))\/((10 + -4)\/(-18)). Is 23 a factor of (0\/x - r) + 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 + 29. Let z(u) = -u. Give z(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1064 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 14 = 3*i. Let g(s) = -s + 2. Let p be g(i). Suppose 5*d = 11 + p. Solve d*n + 7 = -1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/8*4\/2. Let o = 10293 - 10291. What is the third smallest value in v, o, -1, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -85510, -80782, -76054, -71326?\nAnswer: -66598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2 - 2079*m - 546340.\nAnswer: (m - 2315)*(m + 236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/4)\/((-7)\/28). Suppose -4 = -v*n + 4*t, -t - 2 - 4 = -2*n. Suppose 2*o = n*q - 22, -5*q + 2*o = -3*o - 35. Solve -9 = q*l - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (928\/(-760))\/((-3)\/5) + -2. Which is the biggest value?  (a) -1\/2  (b) 3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in 13, -0.5, 0.2, 234157?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -182 + 205. Let g = c - 18. Solve -g*a = 25 - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1222 or 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 322453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 4 - (-14 - -15 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = -4*c - 11*c - 234 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 836 and 11308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 3 y when four letters picked without replacement from eyefyfykkkyy.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/(-6) - (1 - -3). Let n(w) = -w + 1. Let l(g) = 9*g - 11. Let j(k) = t*l(k) - 5*n(k). Find the first derivative of j(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/6 and 57\/292.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.63 + -1.1. Let d = -0.03 + p. Round d to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-1026)\/(-1) - -1) + (10 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/(-6))\/(4\/18). Let l be (3*(-2)\/t)\/(-1). Let i = -1094 + 1100. What is the highest common factor of i and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1612233 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(9\/6 - -4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 563\/532 - -1\/76. Find the common denominator of 49\/2 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, 5, -3, 3.07, 0, 3?\nAnswer: 3.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 11*w**2 + 3*w - 3930. Let v(u) = -26*u**2 - 7*u + 7871. Calculate 7*m(l) + 3*v(l).\nAnswer: -l**2 - 3897","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - -83) + (-1 - -2). Suppose 6*r - g = -3*r. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1227*i**2*n**3 + 587*i**2*n + 5697*i*n**3 + 5*n + 5936 wrt n.\nAnswer: -7362*i**2*n + 34182*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 139925665 to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1158117*z**3 - 81*z - 1156689*z**3 + 81*z.\nAnswer: 1428*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, 3, -17, 3\/4?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15168 and 105544?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146851 is divided by 1508?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, i: 4, u: 2}. Give prob of sequence uiq.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d + 2*k - 4 = 20, -12 = 5*d + 4505*k - 4506*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(704) + sqrt(704)*-2).\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -103.63043 - -103.61. What is b rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 7*b. Let v(l) be the second derivative of l**5\/60 + 13*l**3\/6 - 3*l. Let y(d) be the second derivative of v(d). Calculate m(y(s)).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 63, 151, 309, 555, 907, 1383, 2001, 2779?\n\"Answer: 3*k**3 + 17*k**2 + 16*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 + -11 + 7 - (16 + -11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 3 - 1. Let h be w\/(-8) + (-897)\/(-12). What is the greatest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 197.23 + -164. Round i to zero decimal places.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22736 and 11984.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -45 - -101. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/3)*s**(-6)*s*(s\/(s\/(s*s**5*s))*s)\/s*s**5)\/((s**(-2))**(-34)*s**(1\/6)*s*s**(-2)*s*s) assuming s is positive.\nAnswer: s**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -339 - 123. Let c = -74 - s. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30972313 is divided by 1539.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 2, 5, 480, 1, -5 in decreasing order.\nAnswer: 480, 10, 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1154, -1229, -1298, -1361?\nAnswer: -1418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.5, 12, -0.3 in descending order.\nAnswer: 12, 1, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 21\/3*4\/(-4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -319 + 76 + 10*v + 83 + 81 + 41 + 37.\nAnswer: 10*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 7950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 23 = -1. Let z be (-3 - (-5 - -1)) + l. Let f(i) = -7*i - 42. Let b be f(-8). Solve b*j = z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100554.\nAnswer: 2, 3, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -238 > -235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -5. Suppose -3*f - z*f + 15 = 0. Suppose -4*m + w + 110 = -w, 0 = 4*m - f*w - 113. Calculate the highest common factor of m and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = -t + 77, 4*h - 130*t = 8*t - 147*t + 85 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - 9. Put p, -4, -1 in increasing order.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*d - 45*d = -1840. What are the prime factors of d?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -13461 - -153?\nAnswer: -13306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2395752*p - 26964 = 2396004*p for p.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 14 = 8. What is the third derivative of h**2 - 3*h**i + 1 - 1 + 0*h**2 wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/4)\/(63\/(-42)). Sort g, -0.2, -3 in descending order.\nAnswer: g, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2*i - 17, -18*i = -4*u - 19*i + 113. Calculate the remainder when 64 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*c = -6, 19*v + 4*c = 24*v + 32. Let m be 2 + (0\/7)\/v. Solve m*u = 3 + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(((sqrt(209) - -5*2*sqrt(209))\/sqrt(11))**2 + -2 + ((sqrt(228) + 2*sqrt(228))*6)\/(sqrt(12) - (sqrt(972)*2 - sqrt(972)))).\nAnswer: -9*sqrt(19)\/4 + 2297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 39429.09 kilometers in millimeters?\nAnswer: 39429090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1381774033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4570988*r**5 + 9276*r**2 + 58*r wrt r.\nAnswer: -274259280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (163\/1467)\/(5397\/(-153)) and 127\/6.\nAnswer: 10794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*c**4 - 5344*c**3 + 1283779*c**2 - 1279769*c + 319608 = 0. Calculate c.\nAnswer: -1544, 1\/2, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -387, -1606, -3627, -6444, -10051, -14442, -19611?\n\"Answer: h**3 - 407*h**2 - 5*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 3)\/(1 - 2). Suppose 0 = -z - b*z + 40. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3684299.1 to the nearest 1000.\nAnswer: 3684000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 67034 and 1276792?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*m + 36070 - 10275 = 0. Calculate the greatest common divisor of m and 871.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 4.570676 litres?\nAnswer: 4570.676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + -1)\/(14 - 16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11904590?\nAnswer: 2, 5, 17, 239, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 991.293 to 0 decimal places.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - -6678?\nAnswer: 6681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1 - 0)*(2 - -3). Let o = 14 + -10. Suppose 2*m + 19827 = o*t - 9775, -i*m = -t + 7405. Round t to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.954 - 0.054. Let f = 0.7 - r. Let j = -0.2 + 0.2. Which is the nearest to f?  (a) 3\/7  (b) 2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -61357 * -67\nAnswer: 4110919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003577147 to 6 decimal places.\nAnswer: -0.000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5961193 to the nearest integer?\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 133 and 152?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 7701*k - 56054. Calculate o(7).\nAnswer: -2147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -116035*p - 580170. Calculate l(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39039 and 3174633?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/1923716 and 29\/22.\nAnswer: 21160876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1871 - -2882. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -196 (base 14) to base 11.\nAnswer: -279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(405))\/(sqrt(1296)*1 + sqrt(1296) - sqrt(1296)) + sqrt(120)\/(sqrt(294) - ((-2*sqrt(294) - sqrt(294)) + sqrt(294) + sqrt(294) + sqrt(294))).\nAnswer: 29*sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xtx when three letters picked without replacement from {u: 1, x: 2, t: 3, p: 6}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3013 (base 4) in base 11?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 49663723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 180975 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/((q\/(q\/q**(1\/12)))\/q))\/(q**6\/q))**(1\/22)*(q**2)**(2\/39)*(q**(2\/9))**(-18\/5) assuming q is positive.\nAnswer: q**(-4791\/5720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 148\/12 - 13 - 22\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -22 > -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 594, 2380, 5358, 9528, 14890?\n\"Answer: 596*l**2 - 2*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**3 + 3*l**2. Let n be o(-3). Suppose 24 = -n*d + 12*d. Suppose 440 = 4*t - p, -2*t = -d*p - 9 - 211. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the second derivative of 2\/75*x**6 + 3*x + 0 - 1\/15*x**4 + 0*x**3 - 1\/25*x**5 + 0*x**2 + 2\/105*x**7. Factor k(b).\nAnswer: 4*b**2*(b - 1)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02 times 0.15?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -2*q - 2*q. Let y be -1 + q + 54\/9. Solve 3*u = -y*k - 4 + 13, -4*k = -3*u + 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.601 - 15448\nAnswer: -15450.601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-35)*(-230)\/(-92)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102122100 - 12?\nAnswer: 102122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.9, 2\/21, 1, -1\/5, -47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 25.501398 and 15.8406?\nAnswer: 9.660798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -566320 - 4*a**2 + 3*a**2 + 566320.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -a - 3*l + 7, -28 = 4*a - 0*l - 2*l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 10056.17 litres?\nAnswer: 10056170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the first derivative of -98*j**2 + 1372\/3*j - 3 - 1\/3*j**4 + 28\/3*j**3. Find l, given that y(l) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 2*b + 1619 = -8*j, 0 = -5*b + 10. Let i = j - -325. Solve -5 = -4*n + 3*r + i*r, -n + 4*r = -4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n + 10. Let c(r) = 17*r - 48. Let p(a) = 8*a - 23. Let g(d) = -6*c(d) + 13*p(d). Determine -3*b(j) - 2*g(j).\nAnswer: -j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101100 (base 2) to base 4.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 + 5812 + -5 + -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 19862*u - 4 = -19860*u, 0 = -3*r + u - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -15*t**2 - 1. Suppose 12*r + 4*r = 16. Give q(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 22, 8, -5, 290 in descending order.\nAnswer: 290, 22, 8, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 44 + -23.7. Let w = s - 4.9. What is w rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -149, -353, -557?\nAnswer: -761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15980 is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 111431213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00015249999 to 7 dps.\nAnswer: 0.0001525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((139065\/1270)\/((-6)\/4*(-11)\/(-22)))\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**3 + 3520*a**2 - 86751*a + 19. Determine q(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n\/(n*n**2*n))\/n*(n*n**(-4))\/n)\/(n**(-2\/5))**(-5\/8))**(-14))**(-24) assuming n is positive.\nAnswer: n**(-2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1*sqrt(98)*-2)**2.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - 11 - (5 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -51 + 55. Suppose -2 = g + c, -y*c + 8*c = -2*g - 12. Let k(v) = 49*v**2 - 6*v + 6. What is the tens digit of k(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/7)\/(x\/x**(-1)))\/(x*x\/(x*x*x*x\/(x**(1\/4)*x)*x))**47 assuming x is positive.\nAnswer: x**(2239\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30089 = -36*g + 74333. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21 + -64. Let k = 86 + m. Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 777143919 + 0.4.\nAnswer: 777143919.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*z**2 - 18 - 2 + z + z**2 + 2*z**2 + 3*z**2 to i*z + m + h*z**2 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 85\/993?\nAnswer: 85\/993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 32*g + 138. Let w be q(-5). Suppose -w*s = -2597 + 413. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 531 greater than or equal to 537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -192 + 191.4. Let j = -2.7 - -2.3. Which is the biggest value?  (a) l  (b) -6\/7  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2283*d**2. Let f(v) = 5*v**2. What is x(f(t))?\nAnswer: -57075*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -474866344*f - 340174691 wrt f.\nAnswer: -474866344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0096 times 4?\nAnswer: -0.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is g in g**2\/2 + 3*g + 9\/2 = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1207\/15  (b) -1054  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 5*n + 56. Let s(k) = 947*k**2 - 3*k. What is a(s(q))?\nAnswer: 4735*q**2 - 15*q + 56","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What comes next: -415686, -831377, -1247068?\nAnswer: -1662759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-21)\/35*(-4)\/(72\/((-24)\/6)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4721807432 to the nearest integer?\nAnswer: 68715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -51*h + 0 + 9\/4*h**4 + 3\/2*h**2 - 1\/3*h**3. What is the second derivative of c(d) wrt d?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -1\/411?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1409.4 and -22?\nAnswer: -31006.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -2827890*o. Let g(z) = -z**2 + 2*z. Calculate y(g(t)).\nAnswer: 2827890*t**2 - 5655780*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 4 - 14. Let g = 607.1 - 607.3. What is the third smallest value in g, -2, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 3*u = u + 7, -3*h - 5*u = 12. Suppose 2*c + 0*c = -2. Let k = h - c. Solve 15 = 5*w + 5*z, k*z + 2 = -5*w + 23 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 2\/3, 1\/3 in descending order.\nAnswer: 2\/3, 1\/3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t**3 - 7*t**3 + 4*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199743?\nAnswer: 3, 139, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 - 19*r**2 - 2*r - 34. Let o be (-3)\/9 - 91\/(-21) - (25 + -2). What is v(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31741.37 kilometers in micrometers?\nAnswer: 31741370000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/59941 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - 3) + (15 - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 AM and 6:54 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, 16, 2, -0.2, -1100, -0.1 in descending order.\nAnswer: 16, 5, 3, 2, -0.1, -0.2, -1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d**2 - 14*d + 6. Let i be u(-7). Let m be (-21)\/(-70)*4\/i. Which is the nearest to 0.1?  (a) -1\/2  (b) 2\/9  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 149554 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k*k**(3\/5)))\/((k\/(k*((((k\/(k\/k**2))\/k)\/k)\/k)\/k*k))\/k))**(-35))**36 assuming k is positive.\nAnswer: k**756","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 144*p**3 + 1024\/3*p - 50\/3*p**4 - 1408\/3*p**2 + 0 + 2\/3*p**5.\nAnswer: 2*p*(p - 8)**3*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1898)\/(-14) - (-15)\/35.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of -h**5\/20 - 7*h**4\/12 + 5*h**3\/2 + 5*h. What is the tens digit of r(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 3.3. Let t = 0.7 - z. Suppose -4*y + y = 4*x + 11, -5*y = 2*x + 23. What is the nearest to 1 in y, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12 and 9029796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68.50288 hours to minutes.\nAnswer: 4110.1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = 4*u - 135. Suppose -o + u = -8. What is the tens digit of 6 + (-100)\/o - 548\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117067455.\nAnswer: 3, 5, 19, 269, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 - 15*t**2 + 2*t - 13. Let u be a(15). Suppose d + u = -32. What are the prime factors of 1 + -4 + (2 - d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 757 + -3?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -956, -1298, -1654, -2030, -2432, -2866, -3338, -3854?\n\"Answer: -q**3 - q**2 - 332*q - 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (180\/(-324)*(-36)\/30)\/((-2)\/39).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 545928 divided by -2116.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/4 + 28\/16. Suppose p*i = 2*x + 136, 5*i - 3*x = 6*i - 52. Suppose 0 = -3*y - y + i. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(2\/3))**13\/(c**(2\/3)*c)**(-2\/15))\/(c**2\/c**(5\/4)*c*c**(-2\/7)*c*c**(-4)) assuming c is positive.\nAnswer: c**(2627\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/472 and -83\/4032.\nAnswer: 237888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 118597391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(100) + (sqrt(100) - (sqrt(100) - sqrt(100)*-2*-4)) + (sqrt(100) - 4*(sqrt(100) - 1*sqrt(100))) + sqrt(100))\/(sqrt(10)\/(sqrt(128)*2)) + -5.\nAnswer: -5 + 352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -52 + 76. Let g = q - 22. Solve -j + g = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -15*n**3 + 784*n**2 + 5236*n - 16. Calculate i(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3224, 6445, 9666?\nAnswer: 12887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -995 + 1017. Suppose -5*p = -0*p - 215. Calculate the remainder when p is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3627 divided by 403?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -190 - -188 - ((-2)\/(-6))\/(5\/45). Sort w, 2, -154 in increasing order.\nAnswer: -154, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2630 + -2570.42. Let p = y + -51.6. Let z = p + -8. Round z to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (96\/(-28))\/2*7. Is 2\/(-3) + (-3188)\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8688 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -71\/6 and 37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16833 + 16852. What is the remainder when 1896 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61405 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiig when four letters picked without replacement from igiigigi.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 4*v**5 - 76*v**4 + 420*v**3 - 196*v**2 - 2744*v = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -3*x**2 + 74*x. Let a(b) be the third derivative of b**4\/12 + 202*b**2. Give a(g(k)).\nAnswer: -6*k**2 + 148*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/4972 and 29\/2816.\nAnswer: 318208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*x - 8943 + 8943.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 356 and 5620617.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 73\/4 in -3\/7, -2, -42, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -572 - -570. Let j = -797\/5 - -160. What is the nearest to 0 in -3, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11582264 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/6 and (-9)\/(-6)*((-105)\/522 + 0).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(114)\/sqrt(6) + -1*sqrt(304))*-1 + 3*(-5 + (4*(-1 + sqrt(304)))**2).\nAnswer: -381*sqrt(19) + 14622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 + a**2 - 4*a. Let b be u(3). Let c = 8 - -9. Let h = b - c. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -11*o + 8. Let l be r(13). Is (8\/6)\/((-3)\/l) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -17, -11, 17, 67?\n\"Answer: 11*p**2 - 27*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -y + 30, 4*y + 111 = 5*n + 306. What is the highest common divisor of 315 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2343311 (base 5) in base 4?\nAnswer: 22220331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t - 4*t - t**2)*(2 - t - 2 + (t - 3 + 3)*(2 - 6 + 3) + 25 - 25 + 23*t)*(0*t + 5*t - 3*t).\nAnswer: -42*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 21\/8 of a microgram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of h**8\/15120 - h**6\/540 - h**5\/135 + 17*h**4\/6 + 19*h + 2. Let n(y) be the third derivative of l(y). Solve n(m) = 0 for m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 32 + 10. Let b = -5 + z. Find the common denominator of -13\/2 and 2\/b*(-452)\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27385*t - 27390*t - 27405*t + 109588*t - 27384*t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g*g**(-1)*g*g)**(3\/10)*(g**(-2\/7)*g)\/((g\/(g**(-2\/11)*g))\/g))**43)**(5\/11) assuming g is positive.\nAnswer: g**(80539\/1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 500635 and 22001.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(144)*2*2 - 1*sqrt(144)*-1))\/((-6*(sqrt(128) - sqrt(32)))\/(-2*sqrt(196))).\nAnswer: -210*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s + 5*i + 46 - 36, 0 = s + i + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 235781047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1022058978 to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2309 a factor of 776772999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 20748.\nAnswer: 1\/5187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1\/7*(-1 - (-7 - -4))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11 in 0, -0.2, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 - 7*s + 3. Let x be m(7). Suppose -2*v - l = l + 54, 0 = -x*l - 12. Let c = -49\/2 - v. Sort c, -1, 2 in descending order.\nAnswer: 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173435735.\nAnswer: 5, 11, 3153377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 4*u + 16, b + 4*u + 24 = 3*b. What is the first derivative of 3 + 2 - 2 + 2*m**b wrt m?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11067 + 11364. What is the greatest common factor of 528 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/13, -2, -11, 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 143236573 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40352601?\nAnswer: 3, 29, 463823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -81851\/122781 - 1\/40927. Let q(f) = -2*f + 3. Let c be q(2). Which is bigger: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r - 9. Let z be l(11). Suppose -z*x = 4*h + 54 - 10, -h = -4*x - 7. Is 7 a factor of ((-256)\/(-12))\/((-6)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 1352 - 1257 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/((-30)\/(-788)) - 72\/(-90). Let x = s + 95. Find the second derivative of -4*q + q**2 + q**2 - x*q wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + 6\/5)\/((-2)\/10). Let g = q - -8. Suppose d - 4*d = -6. Solve 0 = -2*f - 4*r + 3 - 1, d*r = g*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -37 - (29 + -47 - 40).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u**3 + 5*u**2 - 7*u. Let f be p(2). What are the prime factors of 4\/f - (-44950)\/261?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2044 - 112?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 2 + 3)*(-5*w + 3*w + 0*w) - 4*w + 30*w - w to q*w + x and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, -1\/10, 4177.\nAnswer: -1\/10, 24, 4177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.6 + -0.6. Let i = 0.000006 + x. Round i to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 27257*a**4 - 2*a**2 + 86*a + 21 wrt a.\nAnswer: 654168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {b: 11, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of 7*c**5\/120 - c**3\/2 + c**2. Let t(l) be the first derivative of j(l). What is the tens digit of t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-50)\/(-7) - 4\/28. Suppose 75 = 12*b - q*b. Let d = 11 - b. Let o(s) = s + 1. Let p(g) = g**2 - 2*g - 3. What is d*o(m) - p(m)?\nAnswer: -m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 + -23. Let x = h + -21.2. Which is the third biggest value?  (a) x  (b) -3\/2  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2897260309 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 197 - 200. What is the third biggest value in -2, -1\/2, 1\/3, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16757144?\nAnswer: 2, 1051, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 0.3044396 hours?\nAnswer: 1095982560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 2*j - 22 = 0. Let r(u) = 11*u + 4. Let a be r(0). Suppose -a*d + 61 = -j. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**2 - 7*z + 112. What is p(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 573689 is divided by 390.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11\/(-33) - 14\/(-6). Suppose -3*z + 4*z = a. What is the units digit of ((-10)\/z)\/(1\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -32*o + 9. List the prime factors of s(-9).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 17544 + -3?\nAnswer: 17541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (12\/8)\/((-6)\/(-112))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**3 + 6*k**2 + 6*k - 3. Let z(f) = -f - 11. Let x be z(-6). Determine i(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4238 >= 3977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 195039 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(2\/21)*j)\/j)\/(j\/(j**8*j)))**(-42)\/((j**5\/j**(2\/23))\/((j**(3\/5)*j*j*j)\/((j**(-2)*j)\/j))) assuming j is positive.\nAnswer: j**(-43851\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1433111212 less than -0.123?\nAnswer: 0.0203111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - l = 62, 3*v = -2*v - 2*l + 71. What is the second derivative of 6*z - 22*z - 2*z**2 + v*z**2 + 0*z**2 wrt z?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187) + 1*sqrt(187))*-5 + sqrt(187) + sqrt(187))\/(sqrt(11) - sqrt(66)\/sqrt(6)*5).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*k + 5*k + 6*k as i*k + c and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -110548719*t**2 + 205297329*t wrt t.\nAnswer: -221097438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -44*a**2 + 19*a**2 + 1 + 133*a**3 + 25*a**2 as g*a**3 + j*a**2 + t + y*a and give g.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -59*b**3 + 17 - 12 + 42*b**3 - 2*b - 85*b**3 - 8 in the form h + p*b**3 + r*b**2 + g*b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 228.61 + -0.57. Let h = 224 - x. Let w = -0.04 - h. Sort 4\/7, w, -4 in ascending order.\nAnswer: -4, 4\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 + w + 1. Let h(g) = 15176*g**3 - 4*g - 15175*g**3 + 3*g**2 + 6*g + 4. Calculate -h(m) + 3*r(m).\nAnswer: -m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -16*w + 11. Let m(s) = -2*s - s + 0 + 2 + 0. Let a(u) = 33*m(u) - 6*t(u). Let i(l) be the second derivative of -5*l**3\/6 + 11*l. Calculate a(i(d)).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -2*a - 4 + 48 - 44. Let d(t) = -3*t**2 - 74*t + 10. What is x(d(m))?\nAnswer: 6*m**2 + 148*m - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z**(-24\/5)\/z*z)\/z)\/z)\/z)\/((z*z\/((z**(3\/4)\/z)\/z))\/z)*(z**28)**(-9\/4) assuming z is positive.\nAnswer: z**(-1461\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -726*g + 446 - 4041*g - 8368*g - 446 to o + d*g and give d.\nAnswer: -13135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -12  (b) -2\/7  (c) 2\/3  (d) -2\/5  (e) 3  (f) -9.7  (g) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 2*i + 3*i + 25, 0 = -4*i + 16. Suppose -3*u = 12 + n. Let l = u - -12. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -721 = 5*l + m + 798, l + 5*m = -323. Let f = 523 + l. Calculate the greatest common factor of 88 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 16*((-34)\/(-8) - 4). Suppose -d*l + 204 = 5*u, 0*l - 3*l - 3*u + 153 = 0. Calculate the remainder when 149 is divided by l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31 (base 9) to base 15.\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2926 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -647499197 at most -647499198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, h: 3, d: 3, e: 1, k: 2}. Give prob of sequence hme.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10311120 - -1?\nAnswer: 10311121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 868722 and 36314.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -40808*71.5\nAnswer: -2917772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-2))\/(-3)*(-468)\/52.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31, -80, -183, -358, -623, -996?\nAnswer: -1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 14479834, 28959669, 43439504, 57919339, 72399174, 86879009?\n\"Answer: 14479835*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4429*l**2*r**3 - 2*l**2 - 42*l*r**5 - 2666526*r**2 wrt r.\nAnswer: 26574*l**2 - 2520*l*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23772972*t**2 + 12692*t + 71?\nAnswer: -47545944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -8*l - 204. Let k be c(-27). Let n = 78 - 18. What is the greatest common factor of n and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*o**2 + 17*o**2 + 56*o**3 + 16*o**2 - 54*o**3 in the form t + y*o**3 + a*o + c*o**2 and give c.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 264 and 2326808?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 128*y**4 - 1199*y**3 - 142922*y?\nAnswer: 1536*y**2 - 7194*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 553 and 2528?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -39 + 19 + 17 + (0 + 0 - -26).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**2 + 5*z - 105 + 54 + 49 + z**3 = 0 for z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 15*t + 149. Let o be y(7). Sort -16, 15, o in descending order.\nAnswer: 15, o, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13589 = c - p, -3*p - 40757 = -3*c - 5*p. Let f = c - 135991\/10. What is the common denominator of f and 53\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2387?\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -11, -25, -37, -47, -55, -61?\n\"Answer: m**2 - 17*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 99 + -83 - (-10 - (-8 + -6 + -9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 815.1176km in meters?\nAnswer: 815117.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12782780 - 0.04.\nAnswer: -12782780.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -221220 + 2?\nAnswer: -221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1158 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8053*q**2 - 125*q wrt q.\nAnswer: -16106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 180. Let l(p) = -2*p**3 - 16*p**2 + 553*p + 78. Let r be l(13). Is r greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 7348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -8556*x**2\/5 - 8559*x\/5 - 3\/5 = 0. Calculate x.\nAnswer: -1, -1\/2852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o - 10 + 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(6 + -3) + -4. Let q(i) = -2*i - 6. What is the units digit of q(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*(-95)\/(-38)*(-1 - 1). Let b(h) = h**3 + 7*h**2 - 23*h + 13. Let k be b(-10). Let l = -52 - k. Solve -l*j - 3*f + n = 0, f + 2*f = j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -2*m**3 - 32*m**2 - 7*m - 3. Let g(y) = y**3 + 17*y**2 + 4*y + 2. What is -11*g(f) - 6*r(f)?\nAnswer: f**3 + 5*f**2 - 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20 - -87. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**2 + 4*b + 2. Let d be j(-3). Let l(x) = -5012957*x**3 + x**2. Let v be l(d). Suppose v + 35987042 = 5*m. Round m to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*r + 7, 0 = 2*d + 5*r - 12. Let h be (-1 - -4*d) + -1. Let w be (h\/(-35))\/((-5)\/(-25)). Sort 4, w, -4 in decreasing order.\nAnswer: 4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c, 1 p, and 1 g when four letters picked without replacement from ybppbbbypygcgcb.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + h**2. Let l(p) = 5*p**3 - 8*p**2 - 2*p + 3. Let v(r) = -4*j(r) - l(r). Calculate v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -u**2\/3 - 130*u\/3 - 168 = 0.\nAnswer: -126, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 241609033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.032 and -0.0047.\nAnswer: 0.0001504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/12)\/((-2)\/(-4)). What is the greatest common factor of 2 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of -14*b**6\/15 - 16*b**5\/5 - 11*b**4\/3 - 4*b**3\/3 + 5*b. Factor v(c).\nAnswer: -4*c*(c + 1)**2*(7*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4  (b) -21  (c) -23.9  (d) -0.9  (e) 13  (f) 2  (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 288800\/7*u + 148968\/7*u**3 - 62320*u**2 + 4\/7*u**5 - 1532\/7*u**4 = 0 for u.\nAnswer: 0, 1, 2, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -4395375150 and -125.91.\nAnswer: -4395375275.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -20. Let p be (i\/6)\/(4\/6). What is the third derivative of 0*q**p - 2*q**4 - 3*q**2 + 0*q**2 - q**4 wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*d*v**2 + d*v - 91169*d + 669*v**2 - 3*v wrt v?\nAnswer: -6*d*v + d + 1338*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50, -50, -52, -56, -62?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - -2)\/(4\/(-2)). Suppose 5*w - 4*k - 96 = l, -2*w + 26 = -5*k - 9. What is the greatest common divisor of 30 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 - -16. Let w = 1 + q. Let t = -2.098 - -2.498. What is the third biggest value in -2, w, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 r when four letters picked without replacement from {r: 8, m: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 373372264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 61580483\/7 - 2046381002531\/232617. Let l = -2\/3021 - q. Does l = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 56 = 3*z, 4*z - 79 = m + 2*m. Suppose -2*w + 294 = z*w. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*o - 271325 + 262888. Suppose -4*x = -685 + 213. Calculate the highest common divisor of x and o.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**3 + 2330*t**2 + 23468*t + 37600.\nAnswer: -2*(t - 1175)*(t + 2)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -226\/235 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of -w**5\/20 - w**4\/4 + 11*w**3\/3 + 17*w**2\/2 + 18*w + 14. Give t(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -12*b + b**2 + b**2 + b**3 - 3 + 13 - 2*b**3 + 11*b. Let g be k(3). Is g < -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/9 and 73\/3127338.\nAnswer: 3127338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 0.0104.\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 0\/1)\/(-2). Suppose -2*a - 4*x = a - 67, -3*a = -5*x - 85. Solve -4*d - d - a = c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/3869173 and -16\/25355.\nAnswer: 19345865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*f - 8446 + 25406 - 8477 - 8483.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 52 = -4*i, 0 = 2*h - 4*i - 0*i + 24. Let y = 23 + h. Calculate the highest common divisor of y and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -173795*u + 173350*u + 26700 for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4.89 + 0.11. Let x = -52042 + 156130\/3. Which is the second biggest value?  (a) x  (b) 0.04  (c) -2\/3  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of -f**5\/15 + 2*f**2 + 11*f. Let a(x) = 15*x**2. Give d(a(m)).\nAnswer: -900*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from kmmmmmmmfmkmkmm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -28*b - 29. Let r(a) = 51*a + 56. Let x(k) = 11*m(k) + 6*r(k). What is x(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.31 - 15484.\nAnswer: -15484.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 74098 or 73164?\nAnswer: 73164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**2 - 2. Let r be f(-2). Let l be (2\/r)\/((-1)\/183). Suppose -5*p + 6*g = g - 95, 4*p - g - l = 0. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -965 - -960. What is the third biggest value in t, 0.5, 11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y - 2*y + 2*y)*((y + y - y)*(-y + 0*y - y) - y**2 + 4 - 4 - 2*y**2 - 4*y**2 + 5*y**2) + (-y + y + y**2)*(4*y + 3*y - 5*y) + 2*y**2 + y**3 - 2*y**2.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from loolgu. What is prob of sequence oolu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - -27.7348541?\nAnswer: 31.7348541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15 + 15. Suppose 4*c - 5 - 31 = i. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 6175*x**2 - 56 - 6186*x**2 + 56. Let w(z) be the second derivative of 7*z**4\/12 - 29*z. Calculate w(a(m)).\nAnswer: 847*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -6 + -1 + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.09174 + -688.\nAnswer: -687.90826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 PM and 2:11 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3*5\/6*(-12366)\/(-1145))\/(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 61*v**2 + 324*v. Give s(-5).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/(-4))\/((-10)\/(-60)). Let c = 1 - r. Suppose s = -c*s - 44. Let n(q) = -q**2 - q + 2. Calculate n(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**4 + 0*p**3 + 0*p**3)*(2 - 3 + 3) + (-p + p - p**2)*(-29961 + 473*p**2 + 29961) + p**4 + 4*p**4 - 3*p**4.\nAnswer: -469*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -2*d + m, 5*m + 3 = 2*d - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 - 2. Suppose -14 = -2*w - l. Suppose -w*c - q + 21 = -3*c, -3*q - 3 = c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffgrffjrfjzfzfzzkjj. Give prob of sequence zfg.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the first derivative of u**4\/4 + 14*u**3\/3 - 16*u**2 + 8*u + 198. Calculate the least common multiple of 120 and a(-16).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 45 = 4*n + 235, 5*n = 3*j - 535. What is the remainder when j is divided by 129*(0 - (-1)\/3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1, -5, -23, -61, -125, -221?\n\"Answer: -f**3 - f**2 + 6*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -17 + 2. Solve -u*y - c = -2, -4*y - 24 = -c - 3*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55\/11*12\/45.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 - -20. Let p be (d\/(-4 + 0))\/1. Factor -3*b**p + 4*b**2 - 3*b**3 + 8*b**3.\nAnswer: 2*b**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of 3*l**2\/2 + l + 7. Calculate w(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, v: 3, c: 1, m: 2, s: 4}. What is prob of picking 1 v, 1 s, 1 d, and 1 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 46933181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 1:30 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 58 in -1\/144, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 800391.1 weeks to milliseconds.\nAnswer: 484076537280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*k + 15*k + 204066*k**3 - 245869*k**3.\nAnswer: -41803*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.04335 and -1.605?\nAnswer: 0.06957675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 + -4)\/((-1)\/(-7)). Let m = 7 - 22. Let p = u - m. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 8*h. Let o be 2 + -4*2\/4. Let d be o - (0 - (-2 - -4)). Let i(f) = 0*f + 5*f - f**d - 5*f. Give i(s(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211213132 (base 4) to base 3.\nAnswer: 21211100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, 11\/2, 1, -0.4 in decreasing order.\nAnswer: 11\/2, 1, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -1405  (b) -2  (c) -2\/7  (d) 2\/35  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1009.290007 + 1008.59. Let v = 0.7 + f. What is v rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + 101010010?\nAnswer: 101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5655, 5649, 5643?\n\"Answer: -6*x + 5661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - l + 3*l)*(-77*l**3 - 13*l**3 + 3*l**3 + 2 - 2 + l**3 + (2 - 2 - l**2)*(0 - 2*l + 0)) + 0*l**4 - l**4 - 25*l**4.\nAnswer: -194*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05 times -22652?\nAnswer: -1132.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -4*g - 172*g**3 + 341*g**3 + 5*g**2 - 170*g**3 + 1 + 0*g. Suppose 0 = -r + 2*r - 4*a - 8, 3*r - 2 = a. Let y = r - -3. What is q(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -23 * -706.\nAnswer: 16238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 197\/4 + -49. Let s = 0 + 1. What is the smallest value in a, s, 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 40\/8 - (2 - -2). Let m = k + 9. Calculate the remainder when m is divided by 0 + (-5)\/(20\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2. Suppose 0*b = -4*b. Let z(m) = 0*m - 3*m + b*m. Determine u(z(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o - 99*o - 3028*o**2 + 3 - 4*o + 107*o.\nAnswer: -3028*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -1, 875943 in ascending order.\nAnswer: -1, 8, 875943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, -26, -180 in descending order.\nAnswer: 0, -5, -26, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 7:41 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -463, -593, -713, -817, -899, -953?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -2*l + 11675, -7*g - 23338 = -4*l - 9*g. Suppose 0*c + 5*y - l = -5*c, -4*c + y = -4648. List the prime factors of c.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of s**3\/2 - 9*s**2\/2 - 2*s. Let a be f(-5). Let z = 58 + a. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 262, 4\/9, -568?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 459\/(-1190) + 12\/42?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 1 = 9. Suppose -v = -z + 3, -v - z = a*z - 3. Let d = 7 + v. Let t(j) = j**2 - 5*j + 5. Calculate t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 46*q. Let x(p) = 21*p - 56. Let b(s) = 2*s - 5. Let c(j) = -56*b(j) + 5*x(j). Give m(c(l)).\nAnswer: -322*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4575, 4574, 4577, 4584, 4595?\nAnswer: 4610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 891.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, t: 4, i: 1, r: 3}. What is prob of picking 3 y and 1 t?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 4*o**3 + 3*o**2 - 4. Is n(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -18*p**2 - p + 1. Let m be u(1). What are the prime factors of 24\/m + 68\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 7, m: 3}. Give prob of sequence aa.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -43\/4, 0.3, -1, 2\/9, -5 in decreasing order.\nAnswer: 0.3, 2\/9, -1, -5, -43\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/(4*88\/(-64))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*8\/2 - 2. Is -1 - x - (-15 + -5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 10:31 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -4*y + 2*h - 7*h, -5*h = -3*y + 16. Let z be ((-2)\/y)\/((-6)\/252). Let v = 17 - 11. Solve -v*j + 4 = -z*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -184 + 1658\/9. Let k = -3.07 - -0.07. Let g = -3 - k. Put 0.4, g, f in ascending order.\nAnswer: g, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s + 9. Let c be y(6). List the prime factors of 14\/2*(-2 - c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 34.3 and -0.3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000343502 rounded to seven decimal places?\nAnswer: -0.0000344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13487 - 638*b + 6745 - 775*b + 6742 - 116*b.\nAnswer: -1529*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -85457 > -85446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-46)\/115*(-30)\/78.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + p + 19. Let c be p*4\/(-28) - -3. Is 14 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -217, -1318, -4321, -10180, -19849, -34282, -54433, -81256?\n\"Answer: -159*d**3 + 3*d**2 + 3*d - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4020 + 4047 + (5 - 2) + -20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(2\/83))\/(y\/y**(1\/10)))**(-2\/11) assuming y is positive.\nAnswer: y**(-63\/4565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1144.3 - 1144. Which is the closest to -3.2?  (a) 1\/2  (b) -0.4  (c) 7  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 6:30 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 1)*(-t**4 + 4*t**4 - 175 + 177).\nAnswer: -6*t**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -455*d**3 - 12*d - 30. What is o(-2)?\nAnswer: 3634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2556027?\nAnswer: 3, 284003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ngceceggceqeecg. What is prob of picking 1 e, 1 n, and 2 g?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 118669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (0 + 1)\/(12\/1092)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1561 divided by 1561.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 5*h + 17, 10 = -4*h + g - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 137 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*m + 109*m + 42 = -56 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2842 - 2843. Which is the closest to -1?  (a) 0.038  (b) -15  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/g**3*g**(-1\/5))**(1\/30) assuming g is positive.\nAnswer: g**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g + 2*g. Solve g*w + 4*w + 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 185237 + 5?\nAnswer: 185243","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 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 30103393591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 + -9)\/(-4) + -2. Let a be (-3)\/(1*(s + -4)). Solve 5*o - 4 - a = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 - 11*s + 2. Let n be o(11). Let l = n - 0. Is l\/(-8) + (-1326)\/(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 3*k + 71. Let i be z(9). Solve i*n - 42*n + 150 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the first derivative of -o**3\/3 + 3*o**2\/2 + 3*o + 1. Let k(u) = 6*u**2 - 16*u - 16. Let j be (-290)\/(-75) - 6\/(-45). Calculate j*k(l) + 22*x(l).\nAnswer: 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 912 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 374 - 378. Let l(t) = -51*t - 98. Is l(h) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 75434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**3 - 5*g**2 - g + 11. Suppose 0*a + 13 = a. Suppose 17*x = a*x + 20. What is the remainder when 17 is divided by v(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 172 and 409120920?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 701029?\nAnswer: 7, 17, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.97036 to 2 dps.\nAnswer: -3.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (315 + 26*h - 315)*(h + 0 + 0).\nAnswer: 26*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 8, x: 9, z: 2}. What is prob of sequence zvv?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 476120318 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 558277.\nAnswer: 19, 29383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**3 + 33355*a**2 + 434400*a + 401040.\nAnswer: -5*(a - 6684)*(a + 1)*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 4:42 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 4:01 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, r: 1, g: 5, j: 3, k: 1}. Give prob of picking 1 j and 1 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 506.2158 less than 1.432?\nAnswer: -504.7838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 24*b**3 + 10*b**2 - 20*b + 7. Is f(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -368 + 368.0163. Let j = 0.1323 - q. Which is the biggest value?  (a) j  (b) 2\/9  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**3 + 9375*z**2 - 750410*z + 2166720.\nAnswer: 5*(z - 74)*(z - 3)*(z + 1952)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**(2\/17))\/d*d)\/(d**(-3\/2)*d))**(-10) assuming d is positive.\nAnswer: d**(-275\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + -1. Let w = 5 - l. Let u be w + (1 - 1)\/1. Solve -u*g = -g - 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/4, -3\/5, 3, -27, 3\/7?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (93*m**2 + 124*m**2 - 62*m**2)*(4*m + 2*m**2 - 4*m).\nAnswer: 310*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 5 + -7 + 6 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3977 (base 10) in base 3?\nAnswer: 12110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -9*c - 333. Let t be (-1)\/2 - c\/6. What is the greatest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 90 - 90.085. Let x = r + 4.085. Which is the biggest value?  (a) -5  (b) 5  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12696443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 412\/(-8)*-28 - 4. Let l = o - 5783\/4. Calculate the common denominator of l and 29\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.2 - 2.2. Let g = 13 + -10. What is the nearest to v in 0.4, g, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1122 - 3*v + 73*v**4 - 144*v**4 - 118*v**4 wrt v?\nAnswer: -756*v**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 170 or 3590\/19?\nAnswer: 3590\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2275 (base 14) to base 2.\nAnswer: -1011101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from mmddojdmmdmmmj.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -8*y**5\/5 - 7796*y**4\/5 + 39222*y**3 + 305849*y**2\/5 + 154871*y\/5 + 25974\/5 = 0?\nAnswer: -999, -1\/2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*r**3 - 271472*r**2 + 542932*r - 271464 = 0. Calculate r.\nAnswer: 1, 67866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 110611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(1*-1) + (274 - 227). Calculate the greatest common divisor of 2832 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 - -17.5. Let r = -3.96 - 0.04. Let q = -5 + 8. What is the biggest value in r, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*y + 5*y**3 + 6 + 5*y**4 + 66*y - 18*y - 2 + 2*y**2 - 22*y as x*y**3 + i*y + h + j*y**2 + f*y**4 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of 0 + 0*o + 1\/240*o**5 + 37*o**2 - 1\/48*o**4 + 1\/24*o**3. Factor g(f).\nAnswer: (f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -49b07 + 1?\nAnswer: -49b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 2*m - 1)*(-5*m**2 - 2*m**2 + m**2).\nAnswer: 12*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 188*i - 188*i - 246*i**2 - 1723*i**2.\nAnswer: -1969*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 122, 9, 5, -7, -8, -5 in increasing order.\nAnswer: -8, -7, -5, 3, 5, 9, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(12\/(-27)))\/(-3)*(-231)\/231.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirteen quarters of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -39, -112, -221, -366, -547?\nAnswer: -764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 57398737.909 and 4?\nAnswer: 57398733.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 - d. Let j(g) = 31*g**2 + 4*g - 1. Determine -4*i(x) - j(x).\nAnswer: -27*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/2128  (b) 0.2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pupp when four letters picked without replacement from upupuuuuuupupupu?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*r + r + 0*r + (2 - r - 2)*(-2 + 0 + 3) + r + 2 - 2 + (-5 + 1 + 1)*(0*r - r - r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + 28*g**2 - 31*g - 67. Give l(-29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -12 and -0.028566.\nAnswer: -12.028566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 31*h**4 - 347*h**2 + 4*h**3 - 5 - 15*h**4 - 3*h**3 + 313*h**2 - 14*h**4 to i*h + o*h**2 + m + d*h**3 + b*h**4 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 200 and 260?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 25667417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (80 - 150) + -79 + 59\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 take away -0.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0396 + 0.1056. Does c = 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-70)\/(-7) + ((-8)\/(-1) - 8) and 4960?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10065\/(-238876)*24\/(-45).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j**3\/7 - 10*j**2\/7 + 2*j - 6\/7 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*w**3 - 136*w**3 + 47*w**3.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3487 in -25, 1\/7, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (1 + -8) - (297 + -129 + -169) - 127?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 110*q**2 + 8*q + 16. Let i be w(-3). Suppose 0 = -10*y + 23852 - i. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + 13 - ((0 - -1) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -261*q + 64547. Calculate v(247).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 + -5 - 5) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 3*w**2 + 2*w + 1. Suppose -24*o - 73 = -313. What is the remainder when g(-2) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.675 and 3.\nAnswer: -5.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-3)*(-9)\/7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i - 2*i + 1 + 3*i)*(-7268 + 8601 + 9525).\nAnswer: -32574*i + 10858","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-100)\/(-48))\/(-25))\/(5\/(-8)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 4\/(-1) + (-72 - 0). Let d = i - -79. Let b(y) = -6*y**2 - 6*y + 7. Let h(l) = -l**2 - l + 1. Determine d*h(j) - b(j).\nAnswer: j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -3*c + 46. Let j = -8499 - -8499. Calculate r(j).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -745*c + 604*c - 1843*c.\nAnswer: -1984*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 19050 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -6*p - 0. Suppose -2*a = p + 6. Is (a\/(-4))\/((-2)\/(-74)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 217\/1953 + (-13)\/36 - (-43)\/(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 188*h + 8003. Give x(65).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -165 + 168. Let t(m) = 16*m**2 - m - 4. Let l(r) = -15*r**2 + 4. Let f(z) = 2*l(z) + 3*t(z). List the prime factors of f(h).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 44484372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 14 + 2. Let f be (-5)\/(-3)*(k + -13). Suppose 2*b = -5 - 5. Put b, f, 3, 12 in increasing order.\nAnswer: b, 3, f, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.2 + -0.5. Let i = -0.7 + m. Suppose 2*v - 13 + 29 = -5*h, 2*v - 16 = 3*h. What is the nearest to -3\/8 in -5, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*w - 4*y, -3*w + y + 1 = 3*y. Let m = 6 - 4. Suppose -w*b = m*b. Solve p = 6*p + 4*z + 33, -4*p - 3*z - 26 = b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*s**3 - 7*s**2 + 7*s**2 + (-s + 6*s - 3*s)*(-s**2 + s**2 + 2*s**2) + 2*s**2 - 2*s**2 - 2*s**3.\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 - -1221210?\nAnswer: 1222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = n + 38, 2*v - 326*n + 327*n = -26 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 18*z + 10. Let n be p(-18). Let v = -3 + -13. Let y = v + 15. What is the nearest to -1 in y, -0.5, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:04 PM and 12:50 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s + 40 - 58 = 0. What is the smallest common multiple of 130 and s?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 726 and 992200?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -104*k**2 + 5*k - 1. Let t be p(7). Is t\/6*(3 + 3 + -9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 5:29 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22\/19, 3\/2, 2, 1, 4 in ascending order.\nAnswer: 1, 22\/19, 3\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -118*g + 117*g - 7 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 2:16 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 4*f + 2 - 21, -5*f = -4*h - 47. Suppose 5 + f = 3*y. Is (y + 34\/(-4))*-8 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -0.4  (c) 483\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 109 and 981?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 379163.47 days to weeks.\nAnswer: 54166.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -220831\nAnswer: -5\/220831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -30b5 + 5?\nAnswer: -30b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 757412 is divided by 300.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -v, v = -2*x + 6*v + 14. What is the nearest to 0.2 in 2\/17, x, -4, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 11\/4, -0.23, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -668 - -667.9789. Let n = h - -2.0211. What is the fourth smallest value in -1\/2, 7, n, -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7\/215 + 2059\/2795. Which is greater: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 3*l + 57, -50 = 2*r - 4*l - 6. Which is bigger: -14 or r?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -3*p. Let w(u) = 10979194 - 10979194 - 14499*u. Determine i(w(v)).\nAnswer: 43497*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times -650?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, x: 4, z: 6}. Give prob of sequence xxcx.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 869730463 to the power of 1\/3, to the nearest integer?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 + 29 = 7*f. Suppose 3*a - 3*z = 765, z + 425 = f*a - 332. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/sqrt(32))\/(sqrt(4) + (sqrt(28)*2)\/sqrt(7)) + sqrt(91)\/(-2*sqrt(63)) + 3.\nAnswer: -sqrt(13)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 113322 - 112?\nAnswer: 113210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 320 - 91. Let p = t + -230. Which is the nearest to 1\/4?  (a) 4  (b) -7.3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 332 + -330. Solve o*p = -2*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58 - 108 - 11*d + 0 + 52.\nAnswer: -11*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + (16\/(-4) - -5). Suppose z*x - 17 = 2*v, 4*x - x = -5*v - 32. Calculate the common denominator of -59\/10 and -2 + -1 + (1330\/25)\/v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4\/21, -145, -16\/3, 4, 1\/6?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 85*h - 980. Calculate u(11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 1 + 0)*(-2*a + a + 2*a)*(7*a**2 + 4*a**2 - 4*a**2 - 13*a**3) in the form d + t*a**3 + v*a + b*a**4 + z*a**2 and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -1.064 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -16*w - 197. Let h(u) be the second derivative of -u**3 - 30*u**2 - 2*u. Let t be h(w). Solve 4*n + b + 5 + 2 = 0, 0 = -2*n + 2*b - t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001349657149 rounded to seven decimal places?\nAnswer: 0.0013497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of 2*f**3\/3 - f**2 + 36*f - 15. What are the prime factors of d(15)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -167*r**3 + 2*r**2 - 3*r + 3. Let y be a(-3). Suppose 2386 = 5*t - y. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 197*d. Let w(t) = -54078*t**2 - 3. Determine w(v(n)).\nAnswer: -2098713102*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 580987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 2975616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 - 47. Let i be (-1746)\/q - 6\/(-21). Calculate the greatest common factor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 114 divide 3189970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, -22, 2\/11 in decreasing order.\nAnswer: 2\/11, -22, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1256042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1743*y - 1 = -l + 1748*y, -7*l = 5*y - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 13812 + -6704. What are the prime factors of y?\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57 - -61. Suppose j*u = 5*p - 2*p - 13, -p - 5*u = 2. Suppose p*k - 66 = 3*s, s + 50 = 3*k - 20. Is k even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/96357 and -121\/29099814.\nAnswer: 29099814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2633?\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that u**5 - 28*u**4 + 277*u**3 - 1098*u**2 + 972*u + 2376 = 0.\nAnswer: -1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = a - 12, 5*a = 6*t - 5*t - 36 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -319, -317, -313, -307, -299?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 247 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7675 and 7061.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 499986467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 426 - 149 - 6226*i - 136 - 140 - 13878*i.\nAnswer: -20104*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -1106.\nAnswer: -4424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 589 and 7771.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*m - 17*m + 5*m**3 - 9*m**2 + 8*m + (-40*m + 40*m - 33*m**3)*(-2 + 1 + 2 + 4 - 2 + 0 + (-7 + 3 + 2)*(2 - 2 - 1) + 1 + 2 + 2).\nAnswer: -325*m**3 - 9*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m - 18. Let o be b(7). Let a = o - -12. Calculate the greatest common divisor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5146330 and 5961?\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/10  (b) -59  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-215)\/(-70) - (9 - (-1000)\/(-112)) - (-288)\/(-4)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t**3 - 53133*t**2 - 1008678*t - 4139928 = 0. Calculate t.\nAnswer: -17692, -13, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/9, 121, -4, -0.3, 11, 8 in descending order.\nAnswer: 121, 11, 8, -1\/9, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-4)\/(-5 - -1))\/(4\/24) - -6. Solve -51*a - r = -114 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4.47 - 3.6. Let y = v - -9.13. Is y equal to 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 - 2 - (-1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s + 7*s - 6*s)*(0*s + s + s) - 49*s + 49*s + 9*s**2 + (3*s + s**2 - 3*s)*(-5 + 0 + 3).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 4*h**2 - 12*h + 46. Let c be l(3). Suppose 2*w - c = 4*w. Is w greater than or equal to -67\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*s - 11*s - 14*s)*(6 - 5 - 7) + 0*s - s + 0*s.\nAnswer: 77*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 - 6*p + 7. Let g be u(-6). Suppose -4 = -g*k + 38. Solve -k*h - 29 = 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 - 10*k**2 - 3*k - 229. Determine p(11).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 20 = -5*x, 0 = 4*k - 0*x - 3*x + 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of z**3\/6 - 5*z. Let q(f) = -2*f + 3*f + 0*f. Determine q(n(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the second derivative of a**3\/6 - 7*a**2\/2 + 94*a. What is z(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*x + 8 = -51*x, 3*a + 3*x = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6371*u**3 + 6363*u**3 - 12735*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 62\/55 and 19\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*n**3 - 2*n**3 + 3*n**3)*(-4*n - 121 + 121 + (-4*n + 5*n + n)*(-4 + 2 + 3)) to the form z*n**4 + a + v*n**2 + x*n**3 + w*n and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 304*h + 37. Let s(d) = -606*d - 62. What is -3*s(f) - 5*x(f)?\nAnswer: 298*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 11 = 5*u, -u - 13 = 2*u + 4*f. Sort -3, u, -1 in descending order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/14 and ((-26)\/40)\/(3 + 14\/(-4))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.98, 38, -2\/15, 766 in decreasing order.\nAnswer: 766, 38, 0.98, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 5*h + 1560. What is b(-310)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.067 in 0.1, 0.5, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2*c = 39. Suppose n + r - c = 3, n = -2*r + 18. Solve 5*v = 4*l - n, v - 2 = -4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -624739584 divided by -2789016?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2827209.\nAnswer: 3, 7, 11, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1839, 3691, 5553, 7431, 9331, 11259?\n\"Answer: p**3 - p**2 + 1848*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 302*p - 5352. Let h be r(18). Solve 49 = -h*w + 77*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2*x**3 + 8*x**2 - 13*x + 3. Let w(z) = 3*z**3 + 12*z**2 - 19*z + 5. Let r(q) = 7*f(q) - 5*w(q). Let c be r(-5). Factor 3 + 2 - 3*k - c - 2 + k**3.\nAnswer: (k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - 3*v**2 - 9*v + 8. Calculate the remainder when 31 is divided by y(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -9*33\/4*(-8)\/9 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-28 + 19 - 28)*(8 + 1 - 8 - 21*d**2) as s*d**2 + l + z*d and give s.\nAnswer: 777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 4*u = -2*b - 12730, u - 3*b - 6369 = 0. Suppose -4*v + u = d + 1152, 2*d - v = 10458. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 14, 3\/7, -0.07?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3157729271.\nAnswer: 23, 137292577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 367959?\nAnswer: 3, 122653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000101101011000001 - 1110?\nAnswer: -1000101101011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 114 divided by -3\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31232, -5, -74.\nAnswer: -74, -5, 31232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14580 = -2*q - p, -4*p = 5*q - 17842 - 18608. Does 30 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 0 - 0)*-1. Let b(v) = 252*v**2 + 3*v - 2. Is b(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1538 + 1569. Let r(v) = 120*v - 119. Let a be r(9). Calculate the highest common factor of a and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002872496 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = p + 3*p + 4*y, -p - 3*y = -1. Put 5, 3, p, -3 in increasing order.\nAnswer: -3, 3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 2783800305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18.53 - 1.27. Let c = 19.80147 + r. What is c rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((860\/(-60))\/(-43))\/(1\/(-12))*9\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -2\/1157, 1, -5, -18, 0 in decreasing order.\nAnswer: 1, 0.4, 0, -2\/1157, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000138863182 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 0*n - 4*n + 15 = 0, -8 = 3*r - n. Suppose 22*j - 25*j - 9 = 0. Sort r, j, 0.\nAnswer: j, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35 - 95. Let m = c - -60.083. Round m to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -960924, 0.2, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 126 and (-4)\/14 - (3 - 237\/21).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/9)\/((-2)\/12). Let q be ((-1)\/2)\/(x\/(-4)). Put -5, q, -4 in ascending order.\nAnswer: -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 389 = 412. What is the remainder when (-124)\/(-3) + 6\/9 is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1125*q - 1111*q - 76 = h, -149 = 7*q + 5*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -50, 39, -3.\nAnswer: -50, -3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*l - 10, l = 2*h - 35. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (75\/5300)\/((-111)\/296)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1213*a**4 + 126343*a**2 - 545064138 wrt a?\nAnswer: -4852*a**3 + 252686*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1106, 1090, 1042, 944, 778, 526, 170, -308?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37317379 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29 + -24. Let r = 10 - n. Solve -j - 22 = r*g, 3*g + 0*j + 30 = 5*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2620*b = -4790*b - 1150*b + 111280 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of g**3\/2 + g. Let h(n) = n - 1. Suppose -30 = i + 4*i. Let j(z) = 7*z - 6. Let w(t) = i*h(t) + j(t). Give v(w(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2452\/153 + 140\/9. Is l equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -420 + 423. Suppose -6*t + 56 = -232. Calculate the highest common divisor of j and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2\/5 and -197579 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.14 - 0.04. Let h = 10.312 + -0.312. Which is the nearest to -1?  (a) o  (b) 4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-45)*(-5)\/18*-3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/5, -1\/22101, 38, 1\/3?\nAnswer: -1\/22101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q + 29. Let a(v) = -v**2 - 25*v + 134. Let g be a(5). Calculate y(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 34*r**2*z - 31*z - 2 wrt r?\nAnswer: 68*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14841182 + 11759?\nAnswer: -14829423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 10*r - 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/8 in -5, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9310 - 9295.858. Let t = u - 0.142. Let d = 6 + -4. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 + 9*h + 23)*(-6*h**2 + 0*h**2 + 5*h**2) - 3 + 3 - h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 61.4904 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -157\/60 and 111\/(-78) - (7 - (-4 + 12)).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) - ((sqrt(152) - (1*sqrt(152) + sqrt(152))) + sqrt(152))*-6)\/sqrt(8))**2*4.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yl when two letters picked without replacement from {l: 1, x: 1, a: 1, o: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-14))**(-1\/34)\/(g**(2\/19))**9 assuming g is positive.\nAnswer: g**(-365\/646)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 10784, 17592, 28930, 44792, 65172, 90064, 119462, 153360?\n\"Answer: -d**3 + 2271*d**2 + 2*d + 8512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -3*z**3 + 7*z**2 + 6*z + 6. Let g(a) = a**3 - 2*a**2 - 2*a - 2. What is 7*g(r) + 2*k(r)?\nAnswer: r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 431.59354 rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1306 - 112 = -6*l. Let y = l - -479. Suppose 4*g - 4*w - y = 0, 0*w = 4*g - 5*w - 284. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 6*c**3 - 181*c**2 - 142*c - 406. What is w(31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (143\/(-429))\/(3\/36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2201101 (base 3) to base 15\nAnswer: -8c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (-6 - -3) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 - 5. Suppose n + m = -n + 5, n - h = m. Suppose -n*t + 7 = -2. Solve -b - 7 = -t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10197.\nAnswer: 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4*s - 13 = 0. Let k(l) = l**3 + 14*l**2 + 10*l - 11. Calculate the remainder when k(s) is divided by (4\/(-6))\/(2\/(-30)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111837 is divided by 18627.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-3\/5)*q*q**(-7\/2)\/q*(q*q*q**17\/q)\/(q\/(q**(-9)*q)) assuming q is positive.\nAnswer: q**(49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/7, -28180, 8, -2, 2, 5 in descending order.\nAnswer: 8, 5, 2, 3\/7, -2, -28180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hg when two letters picked without replacement from {m: 1, h: 1, g: 4, a: 2, y: 8}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 288 - 156. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + 2*v + 7, -4*v = 2*h + 2*h - 4. Let k be (3\/(-2))\/(h\/(-6)). Solve k*x + 3 = -3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*h**2 - 2*h**3 - 17*h**2 - h**4 + 1 + 7*h**2 to the form p*h**2 + f*h**3 + m*h**4 + l*h + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - (88\/(-14))\/(-4). Let l = 173\/205 + -10\/41. What is the nearest to -0.1 in -2, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 457137707 to the nearest integer?\nAnswer: 21381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 742, 3798, 8988, 16390, 26082, 38142?\n\"Answer: 13*f**3 + 989*f**2 - 2*f - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -255100 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -171.4 rounded to the nearest integer?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xhxh when four letters picked without replacement from {h: 2, x: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 105736817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 1051*k + 3186. Determine q(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -232883392, -232883391, -232883390, -232883389, -232883388, -232883387?\nAnswer: -232883386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -d**5\/30 + d**4\/6 - d**3\/2 - 15*d**2. Determine z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -893*z**3 + 2*z**2 + 3*z + 1. Let i be 1*(2 + -1) - 2. Let v be d(i). Let t = -124 + v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*g**4*j - 79*g**3*j + 16552*g**3 + 126159949*g**2*j wrt g?\nAnswer: -72*g*j - 474*j + 99312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108*v**2 - 39*v**2 - 52*v**2.\nAnswer: -199*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiicqqci.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3*h + 5. Suppose -3*a + 128 = 11. Let t = a + -35. Let s be t + (-2)\/8*0. What is q(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 divided by -1348148?\nAnswer: -27\/674074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 - 5*w**2 + 11*w - 6. Is y(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -7*s + 48. What is the remainder when 25 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = b - 5*b - 24, 4*q + 2*b + 42 = 0. Is q >= -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q**2. Let h(t) = -3*t**2 + 20*t**2 + 10*t**2. Give w(h(i)).\nAnswer: 1458*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 16616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*q + 13 - 13. Suppose q = 4*l + 4*b + 194020, -3*l + 4*b - 47039 - 98441 = 0. What is l rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 41\/5 in -5, -1, 0.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23222, -46232, -69242, -92252, -115262, -138272?\nAnswer: -161282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 179\/780 and 49\/23660104.\nAnswer: 354901560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 5 = -5*v, -7 = 2*d + 12*v - 9*v. Let r(x) = 19*x**2 + 5*x + 5. Calculate r(d).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 65*y**2. Let g(v) = -3*v**2. Give q(g(k)).\nAnswer: 585*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -i**4 - i**4 + i**4 - i + i + 2*i**4 + (0*i**3 - 2*i**3 - 5*i**3)*(2*i + 3*i - 6*i) to j*i + s*i**2 + g + k*i**3 + f*i**4 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 8*a**2. Let p(z) = -80*z + 41*z + 42*z. What is y(p(c))?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ettettteteeeeete. Give prob of sequence ttet.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 192 and 9?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uurukrrour. What is prob of picking 1 u and 3 r?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 + -22110303?\nAnswer: -22110321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/(-8)*24\/18. Suppose 4*n - 20 = -4*i, 3*n - n = -3*i + 10. Let o be 2\/(2 - i) - -2. Solve 7 = -q - t, q - k*t = o*t + 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1185.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 331*y + 7 - 162*y - 167*y. Let k be r(-2). Solve k*s + 3*h = 0, -20 = -3*h - h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/(sqrt(33)\/(sqrt(55)\/sqrt(5))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133341 is divided by 631.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -58401 in -5, -41, -2, 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*l = 6*l - 741000. Round l to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + -5. Suppose -2*q = q - y. Solve -q*a = 4 + 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ymimimyyymmiii. Give prob of picking 1 m and 2 y.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2*(-3)\/3432)\/((-5)\/(-2)). Let p = n + -2811\/70070. Which is the third smallest value?  (a) 3  (b) p  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 809, 1918, 3025, 4130, 5233, 6334, 7433?\n\"Answer: -q**2 + 1112*q - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00010157 rounded to seven decimal places?\nAnswer: 0.0001016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 113542.912.\nAnswer: -22708.5824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/19)\/w**(11\/2))**(1\/7)*(((w*(w*(w*w**(4\/9))\/w*w)\/w)\/w)**(-14))**6 assuming w is positive.\nAnswer: w**(-97445\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, d: 1, c: 1, k: 1, e: 2, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 5*c - 5*j + 35, 0 = -4*c - 5*j - 37. Suppose 4 = 4*t, -4*u + 5*t = -9*u + 55. What is the lowest common multiple of c\/(-2*1\/5) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4338 + -4367.53. Let r = d - -0.53. Let u = 20 + r. Which is the closest to u?  (a) 0.4  (b) -1  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1130496 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 3 - 3*x**2 - 4*x**2 - 3*x**2 + 7*x + 15*x**3 - 16*x**3. What is the units digit of h(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -6*a - 1. Suppose -k = c - 3, 0*k - 2*k - 10 = -2*c. What is u(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.043, -0.03, 37?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 - 12*r - 2. Let c be l(-11). Let a(y) = 11*y**2 - 5*y - 8. Let s be a(c). Suppose 3*i - 5*i = -s. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3349794?\nAnswer: 2, 3, 7, 79757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, -17, -112, -295, -596, -1045, -1672, -2507?\nAnswer: -3580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2.1, 0.01, 2, 22, 70 in descending order.\nAnswer: 70, 22, 2, 0.01, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 3*y - 17. Let g be m(7). Suppose -23 = -g*o - 3*c, -o - c + 6 = -1. Solve 29 - 4 = -v - 5*q, o*v - q = -6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*a**5\/17 + 4210*a**4\/17 + 254686*a**3\/17 + 27562*a**2\/17 - 254702*a\/17 - 31772\/17 = 0. Calculate a.\nAnswer: -169, -94, -1, -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (21 + 20 - 12)*(-4 + 36*p + 4) in the form w*p + l and give w.\nAnswer: 1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*k = -55*k - 470 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2b7cdc (base 14) to base 13.\nAnswer: -412ac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1446325*y**4 + 1446325*y**4 - 225*y**5 - 2 + 2 - y**5 + (-3*y**2 + 3*y**2 + y**3)*(-2*y**2 - 3 + 3) - y**5 - y**5 + y**5 - 2*y**5 - 3*y**2 + 3*y**2.\nAnswer: -231*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 842113077 is divided by 360?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*k = 32*k - 390. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 73889954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13.35 + 12.2. Let a = 0.99 + x. What is a rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**2 - 3 - 1 + 6)*(-2*z**2 + 4*z**2 + z**2 + (-7 + 7 + 4*z)*(3*z + 0*z - 2*z) + z**2 + 0 + 0 + 2*z**2 + 3*z**2 + 0*z**2 + (2*z + 0 + 0)*(-z + 3 - 3)).\nAnswer: -11*z**4 + 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by 9\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 496457293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/4 + 22\/(-12)*-3. Let n(g) = 2*g - 9. Let u be n(6). Which is the nearest to 0.2?  (a) u  (b) 4  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + r + 1 = 0, 3*n = 6*n - 3*r. Let t be 1 + -2 + n\/((-4)\/(-56)). Let g(b) = -b**2 + 32*b - 36. Is g(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 7:36 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 30  (b) -2\/7  (c) 1\/3  (d) -1\/5  (e) 0.7  (f) -0.74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 - (-2 - (2 - 0)). Suppose 5*s = -i + 58, -s - 4*i + a = -22. Suppose 4*d - o - 14 = 0, -2*o + s = 6*d - d. Sort 5, d, -8 in descending order.\nAnswer: 5, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3702*g**2 - 13054*g**2 - 3793*g**2.\nAnswer: -13145*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 405 a factor of 1231722043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 0, 135.087?\nAnswer: 135.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hnhhrnrlnnrnnhrr. What is prob of sequence rnh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*m = 474 - 114. Let a be m\/(-27) - 14\/(-3) - 4. Find j such that -3\/4*j**5 + a - 15\/4*j**2 + 3\/2*j + 3\/4*j**4 + 9\/4*j**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3\/5  (b) -230.9  (c) 2\/7  (d) -4  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -10\/1397 and 27\/68266310.\nAnswer: 750929410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 4*k**2 - 24639528*k - 49279072 = 0.\nAnswer: -2, 6159884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 - 2*p - 1. Let d be r(-3). Let o(y) = -2*y - 4. Let t(i) = i + 3. Let g(v) = -2*o(v) - 3*t(v). Determine g(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -14. Suppose -2*s = o*s - 495. Let y = s - -158. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(3\/2)*r)\/(r**(-2)*r)*r**5\/r*(r\/(r*r*r\/(r**(-2\/5)*r)*r))\/r)**(-1\/33) assuming r is positive.\nAnswer: r**(-17\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 415 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 195 = -30. Suppose 2*o - 21 = -3*v, 3*o - 3*v = -o + i. Solve -1 + 1 + o*k**4 + 2*k**3 - 7*k**4 = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrrrrrrrrdrrrrr?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of 5661*c**4\/4 - 984*c**3 + 3248. What is the third derivative of t(m) wrt m?\nAnswer: 33966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + c**2 + 0)*(-c**2 - 4*c**2 + 7*c**2) - 27*c**4 - 18*c**2 - 55196*c**3 - 1 + 55196*c**3 to z + t*c**2 + i*c**4 + d*c**3 + v*c and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25 + -2. What is the remainder when f is divided by (-2 - -1)*(6\/(-3) - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1499 - 1499.000005415. Round v to 7 decimal places.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 29\/(-58)*(-2 + -920)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 65 = 4*r, 5*u - 2*u + 91 = 5*r. Let t = -1 - -2. Let i = 2 + t. Solve -i*s - r = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (24 - 44)\/((-1)\/(-2)). Let m = r - -34. Suppose 3 = -6*v + 7*v. Sort m, v, -4.\nAnswer: m, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**2 - 2*x + 6. Let g(d) = d**2 + 3*d - 5. Let r(f) = 3*g(f) + 2*v(f). Let s be r(-6). Suppose 69 = -0*l + s*l. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - 2*n**2 - n - 1. Let i(t) = -896*t**5 + 2*t**3 + 97*t**2 + 2*t + 4. Let z(u) = -i(u) - 2*q(u). Find the third derivative of z(g) wrt g.\nAnswer: 53760*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence txjx when four letters picked without replacement from {j: 4, t: 6, x: 7}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 394679 by -1511.\nAnswer: -394679\/1511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/4 - 97*i**2\/2 - 2294*i + 4784.\nAnswer: -(i - 2)*(i + 92)*(i + 104)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.4 + -1.6. Let n = 29 + z. Let b = 26.9999932 - n. Round b to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 8*i**2 + 8*i + 11. Let t be j(9). Suppose t*f + 3*g + 9 = 0, -g - 17 = f + 3*g. Let x = 0 + f. Solve 25 - 10 = x*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from keses. Give prob of sequence ek.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23747.\nAnswer: 23747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) + 0 + sqrt(396))**2 + sqrt(110)\/(sqrt(30)\/sqrt(3)) + sqrt(110)\/(sqrt(120)\/(sqrt(72)\/sqrt(6)) + sqrt(10)).\nAnswer: 3*sqrt(11)\/2 + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the second derivative of 2\/3*u**3 + 1\/42*u**7 + 0*u**5 + 2*u + 0*u**4 + 0 + 0*u**6 + 0*u**2. Find the second derivative of z(y) wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 146*t + 11*t**3 + 2113 - 4*t**3 - 298*t with respect to t.\nAnswer: 21*t**2 - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) 1\/6  (c) -1\/5  (d) 0.3  (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lhiiiivqihvqhqv. What is prob of picking 1 v and 1 h?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + -12233232?\nAnswer: -12233230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 41, 79, 153, 275, 457, 711, 1049?\nAnswer: 1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 73, 103, 127, 145, 157, 163, 163?\n\"Answer: -3*c**2 + 39*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5667800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 3.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-31)\/((-26505)\/102780) + ((-288)\/(-152))\/(-9)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -49, -1, 53, -5 in increasing order.\nAnswer: -49, -5, -1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -75  (b) -407  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2421, 4805, 7169, 9513, 11837, 14141?\n\"Answer: -10*i**2 + 2414*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 128565923 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**(6\/13)*c))\/c*c*c\/(c**(-16)\/c))\/((c*(c**16*c)\/c)\/(c*c\/c**(3\/8))) assuming c is positive.\nAnswer: c**(121\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1311388283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -596 smaller than -596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 - 3*m**2 + 4 + 18*m**2 to v*m**2 + o + b*m and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5217\/(-1998) - 3\/(-18)*9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 272 + -262.1. Let z = 9.89858 - j. What is z rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -0.5  (b) 3\/16  (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t**2. Let a(s) = 7*s**2 - 24*s + 527. Determine a(f(c)).\nAnswer: 28*c**4 + 48*c**2 + 527","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4391466 is divided by 1124?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6860552596 from -0.1.\nAnswer: 6860552595.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 268018451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -47657616?\nAnswer: -47657615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/37626040 and -63\/814.\nAnswer: 413886440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1159?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/(-32)*4\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 11:30 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**6*m**(2\/9)*m)**(-1\/25) assuming m is positive.\nAnswer: m**(-13\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 44 = 6. Let w(p) = p**2 - 10*p + 8. Let u be w(10). Is (-246)\/k - u\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 198969928.\nAnswer: 2, 29, 857629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/126 and -101\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1835, 11934, 38591, 90086, 174699, 300710, 476399, 710046?\nAnswer: 1009931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4806 and 25098?\nAnswer: 225882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = 6*t + 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 4*g - 36594 = -15*g. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) 2506\/43  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 11 in -306, 0, 5, -0.22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-12))\/((-20)\/15)*(-85)\/((-91205)\/222).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 340271294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from {d: 4, f: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127*g + 118*g + 5420 = 309*g - 3484 for g.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-9) + (-107)\/(-3). Suppose -4*d = 0, 0*h - 3*d = -4*h + j. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 6*k - 34. Let l be x(6). Let z be 250\/(-75)*(1 + l\/4). Let p = 14.4 + -14. Which is the closest to 0.1?  (a) z  (b) -0.4  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 146880004\/(-18) + 16\/72. Round p to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d + 1. Suppose -4*s - 2*r = -4, -2 + 3 = s - 4*r. Let y be v(s). Suppose -2*h + y*h = 0. Are h and 0 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95*o - 51 = -84*o - 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -3*y**3 + 9*y**2 + 290*y - 44. What are the prime factors of a(-16)?\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (12 - 6)) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*p - 15*p + 26*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 99\/21 + 4\/14. Suppose 9 = t*z - 4*l - 19, z + l - 2 = 0. Suppose -3*f = z*k - 136, -k - 8 = -3. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*l = -154*l + 4297902. List the prime factors of l.\nAnswer: 2, 3, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 365 - 365 + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/(-18))\/((-8)\/6).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 6*b**2 + 2*b + 20. Let z be r(-5). Calculate the greatest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 28*x - 14. Let q be i(2). Suppose q = c + 2*c. Calculate the highest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 803*k - 794*k - 891. Let d(l) = 4*l + 2. Calculate the remainder when k is divided by d(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -6*u + 2*i + 135895, -4*u = 3*i - 108693. Is u - (-15)\/3 - 3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -24\/17, 1\/2, 0.6, -3\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 480, 559, 760, 1143, 1768, 2695, 3984?\nAnswer: 5695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15787, 31618, 47449, 63280, 79111?\nAnswer: 94942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 377679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-1\/54))\/n*n*(n*n**(-13))\/n)**(-20\/3) assuming n is positive.\nAnswer: n**(6490\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 6:31 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -32866915 and 6355.\nAnswer: -32860560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -o**8\/7 - 13*o**4\/12 + 14*o. Find the third derivative of z(n) wrt n.\nAnswer: -960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14850 + -14848. Which is the nearest to 0.1098?  (a) 4\/3  (b) 3\/5  (c) x  (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 828305854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of 2*i - 2*i**2 - 2\/3*i**3 + 1 + 1\/4*i**4. Let r be c(3). Which is smaller: r or -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 7999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6202 + -3328. Suppose -o - 567 = -3*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -380341 - -953.\nAnswer: -379388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 187443\/20 - 9377. Calculate the common denominator of -81\/22 and n.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*f*o**2 - 506*f*o + 46*o**2 wrt o.\nAnswer: 14*f + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 174025913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -583.15729 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 150217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -4022 less than -4016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 5*u. Let q(d) = d. Suppose 0*r - 33 = -3*r. Let p(t) = r*q(t) - 2*w(t). Let i(s) = -2*s**2. Give i(p(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 26 + -18. Suppose 6*i - 7*i = -4. Calculate the highest common divisor of i and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 4*u**3 - 5*u**2 - 5*u. Let p be (-1 - 17)*(-3)\/(-6). Let k be 6\/p*6\/4. Let f(z) = z**3 - z**2 - z. Calculate k*y(t) + 5*f(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of -o**3\/3 + 9*o**2\/2 + 3*o - 5. Let k = 68 - 59. What is w(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3581555.0121 - 3581762. Let l = 0.025 + 206.975. Let m = l + w. Round m to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 608 + -428. Let g = -3062\/17 + i. Which is the second biggest value?  (a) 2\/9  (b) 0.5  (c) -0.2  (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -y - 52, 5*d + 3*y - 92 = 2*y. What is the second derivative of 1 - 66*u + 37*u**5 + 12*u + u**4 + d*u wrt u?\nAnswer: 740*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 12:55 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -478237.4 + 478628.3814. Let b = -391 + y. What is b rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j**(-1)*j*j)*j)**(-1\/11)\/((j*j**0*j*j)\/j)**23 assuming j is positive.\nAnswer: j**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 5*g + 19 = 0, 2*z + 2*g + 12 = 3*z. What is the first derivative of -8*t - z*t + 6*t - 8*t + 3 wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4019, 8003, 11975, 15935, 19883?\nAnswer: 23819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 2*h - 18 = 0. Let z be 69\/21 - h\/(-21). Suppose -2*g - 5*i = z*g - 95, 3 = i. Calculate the greatest common divisor of g and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.5 and -28593.\nAnswer: -28594.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 2*j - 3. Let i be y(0). Let r be (-2 + 0)\/(i + 16). What is the smallest value in -0.2, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 - t - 31. Let y be k(0). Let p = 224 - y. Is 15 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 + f + 4. Let b be (4 + -5)*(0 + 0). Let y be h(b). Let a(l) = -2*l + 3. Let v be a(1). Solve y*n + v + 1 = -2*o, -5*n - 4*o - 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 391438149?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -69\/4 + 17. Sort 0.4, l, -2\/19, 4.\nAnswer: l, -2\/19, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 2*f = -12. Suppose f*c = 9*c - 18. Solve 3 - c = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -85260, -170538, -255816?\nAnswer: -341094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q**(2\/3)))**(1\/22)\/((q*q**(-1\/2)*q)\/q*q**(1\/5))*q**(2\/3)*q\/(q**(-2\/5)\/q)*q**1\/(((q*q**3)\/q)\/q) assuming q is positive.\nAnswer: q**(147\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + 4*k**2 - 1. Let h be w(3). Let u = 11 - h. Suppose -d - 7 = u. What is d rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.54 - 0.36. Let w = u + -0.1800046. Round w to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**2 - 487*t + 49792. Give w(341).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 577015 is divided by 935?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -30 - (25 - (58 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/1689409?\nAnswer: -2\/1689409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 55\/(-7) - 4\/(-39 + 47)*-14.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 57\/(-15) + 1 + 2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/13*v**3 - 12\/13*v + 10\/13*v**2 + 0.\nAnswer: -2*v*(v - 3)*(v - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -79 in 2\/15, -0.5, 32, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -6 + 1 + (-39 - (3 - (-6 - 10))).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 + 6. Let d be (-6)\/2 - 3 - -1. Let s be x(d). Calculate the greatest common factor of s and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -7*m - 801. Let t = -156 - m. Let z be (-6)\/21 - t\/(-21). Solve 2*p + 8 = 0, -27 = 2*s + 3*p - z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -551*l + 574. Let x(k) = 2*k. Let j(o) = f(o) + 4*x(o). What is the derivative of j(p) wrt p?\nAnswer: -543","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 162 + -146. Let h = -6501 + 103973\/16. Calculate the common denominator of (21\/q)\/((-81)\/(-36)) and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 1836*h**2 - 2*h + 8. Let v be o(2). Suppose 22*s - 16742 - v = 0. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 3*b**4 + 3*b**3 + 13*b**2 - 3*b + 17. Let p(x) = -3*x**4 - 4*x**3 - 14*x**2 + 4*x - 16. Let i(l) = -4*a(l) - 3*p(l). Differentiate i(q) wrt q.\nAnswer: -12*q**3 - 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3760 greater than or equal to -3760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 42 and 9842?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 2*u**2 + 504*u + 31752 = 0.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*h + 4*f + 88 = -h - 52, -85 = -4*h + f for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2*10\/(-96)*(-1444)\/(-361)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of 1\/3*q**3 - 12 + 0*q + 0*q**2. Let d(p) = -22*p. Give d(u(k)).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and -859697178166.\nAnswer: -859697178161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 785*b - 1170 + 56905 for b.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of (37 + -13)\/(1\/(-1444)*-6) - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9520168.\nAnswer: 2, 7, 170003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.701 - -0.131. Let r = 0.6 + f. Let o = -0.0300007 + r. Round o to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/714)\/(3777\/(-8813))?\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1916257591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 538, 2691, 6284, 11317, 17790, 25703?\nAnswer: 35056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**(-8)\/t)*t**(4\/5)*(t**(2\/5))**(-5\/13))**(4\/23) assuming t is positive.\nAnswer: t**(2768\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xnciukc. Give prob of sequence xcx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 25621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*m - 25*m = 31*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/(-6) - 1956\/(-9). Let m = x - 362. Let u = m - -264. Is u a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the second derivative of 0 - 1\/210*v**5 + 0*v**3 - v**2 - 1\/84*v**4 - 5*v. Let x(d) be the first derivative of i(d). Factor x(f).\nAnswer: -2*f*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42 (base 9) to base 15.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 - 15 = q + l - 30, 0 = 2*q + 3*l + 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1882779 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1871 divided by -1871.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3735, -2, -3, -1, 1, -509 in decreasing order.\nAnswer: 1, -1, -2, -3, -509, -3735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 328 and 29421354.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1183455895.\nAnswer: 5, 4729, 50051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1583736 and 396?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29974\/426 - 1360\/1020 - 42\/1491?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -27*u**5 + 86214*u**4 - 1469685*u**3 + 7539930*u**2 - 10423968*u + 1067136 = 0. What is u?\nAnswer: 1\/9, 2, 7, 8, 3176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g + 11*g - 8*g - 9*g + 3*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -116 + 188. Calculate the greatest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3319.\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 314, 301, 274, 227, 154, 49?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1102474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 211579.8 litres in millilitres?\nAnswer: 211579800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (29359\/(-99))\/17*48. Which is greater: -836 or n?\nAnswer: -836","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 90, -1, -3 in decreasing order.\nAnswer: 90, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**3 - 34420*s**2 + 20*s + 137680.\nAnswer: -5*(s - 2)*(s + 2)*(s + 6884)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * -0.13.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 + 46*m**2 + 87*m - 43. Let v be s(-44). Let g = 3.9 - 4.3. Which is the third smallest value?  (a) -2  (b) 4  (c) g  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15 in 3\/2, 697, 4, 79?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 37990 and 51745?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes after 8:19 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9104432 is divided by 498.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 8*m - 45. Factor 107*d + 3*d**4 - 107*d - m*d**5 + 2*d**5.\nAnswer: -3*d**4*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -169*z - z**3 + 9*z**3 + 8*z**2 + 170*z + (2*z**3 + 2*z**3 + z**3)*(-1 + 0 + 6).\nAnswer: 33*z**3 + 8*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 404 and 14342?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 57110 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1012b36 + 4?\nAnswer: 1012b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 197 - 61. Let h = -5 + k. Is 27 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2831 = -3*b + 2*d + 2818, 7*b - 9*d + 6*d + 17 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.4951 - -4.4309. Let n = -0.074 - k. Let h = 7 - 7.3. Which is the third smallest value?  (a) h  (b) 3\/5  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:35 PM and 4:07 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 169045202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -104646*w + 3139378. Give s(30).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -37 (base 9) to base 6\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 0*x + 12 = 0. Let s(m) = 6*m - 3*m**2 - x*m - m**3 - 2*m**2 + 2. Let k = -4 - 1. Determine s(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 + 34*c + 376. Determine g(-21).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h**3 - 73*h**2 + 32*h - 128. What is b(36)?\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 6*y**2 - 606*y - 1198. Suppose 3*r - 5*m - 56 = -0*m, 2*m + 56 = 4*r. What is the least common multiple of r and n(103)?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 77158, 29\/13, 0.2?\nAnswer: 29\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 divided by -447?\nAnswer: -34\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -964 or -966?\nAnswer: -964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 - 9*(62\/6 + -3). Let f = 61 + u. Let o(c) = -15998*c**2 + 6*c - 8. Let t be o(f). What is t rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1703075 + 924465. Let s = r - -778322.9861. Let g = s - -287. Round g to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -7*u**3 + 88*u**2 + 3. Let w(d) = -1. Calculate i(n) + 3*w(n).\nAnswer: -7*n**3 + 88*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8195366 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 0. Find the second derivative of h**2 - h**2 + h**u + h wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(204) + sqrt(204))*-1)\/(sqrt(12) - (3*sqrt(108))\/sqrt(9)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 AM and 2:27 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -141\/280 and -67\/108304?\nAnswer: 541520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 3*c**2\/5 - 60*c + 7068\/5 = 0?\nAnswer: 38, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -12, 18, 23, -4, 6 in descending order.\nAnswer: 23, 18, 6, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 4*v**2 - 15*v - 48. Calculate m(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3208941 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*l - 31 = 9*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1059549599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(150)\/sqrt(12))\/(sqrt(160)*2).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 31*f + 34*f + 874 - 59*f - 876. Let a(v) = -4*v + 2*v - 1 + 5*v. What is -7*a(u) + 3*h(u)?\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, f: 2, y: 1, d: 3}. Give prob of sequence ydf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -391*s**2 + 34. Let c(w) = -112*w**2 - 10*w + 115. Let r(u) = 56*u**2 + 6*u - 68. Let a(n) = -3*c(n) - 5*r(n). Give -34*a(p) - 5*x(p).\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 2\/7541, -0.5, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1694368 and 356512?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 484?  (a) 0.16  (b) 0.4  (c) -3\/8  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/3330 and 98\/1755.\nAnswer: 129870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -5*s**2 - 31*s + 25. Let q(r) = -9*r**2 - 76*r + 49. Calculate -5*m(w) + 2*q(w).\nAnswer: 7*w**2 + 3*w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2122928 divided by -265366\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**2 - 9*j + 5. Let x be (-9)\/(-6) - (-5)\/10. Let g be x*((-156)\/(-15) - 4\/10). Suppose -g = 7*r - 5*r. Determine t(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 61615799 and 46.\nAnswer: 61615845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 6020, 12038, 18056, 24074, 30092, 36110?\n\"Answer: 6018*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 408077 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 139100?\nAnswer: 2, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Divide -4914 by -6.\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 6*s)*(-40*s**3 - 1 + 40*s**3 - s**4).\nAnswer: -6*s**5 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 0.02. Let x = 58 - 55.02. Let s = x + t. Is 2 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3561126?\nAnswer: 2, 3, 17, 34913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -160808 (base 9) in base 12?\nAnswer: -493bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 15*y**2 - 14. Let k be x(-3). Let v(g) = -g - 1. Let i be v(-3). Suppose i*t - 101 = k. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzxxzzzxzzzzz.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -157 or -131?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -30\/11 + 251\/88. What is the common denominator of x and 33\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000015864998 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 - 2*t**2 - 31*t - 2. Let l(p) = p**3 - 3*p**2 - 30*p - 3. Determine -3*d(i) + 2*l(i).\nAnswer: -i**3 + 33*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o + o + o)*(3 + 1 - 3 + (-1 + 2 + 1)*(1 - 1 - 2) - 4 + 4 - 1 + 24 - 47 + 19).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 7*l - 90. Let p be k(-14). Let h be (-1)\/(2\/(-1*26)). Let v = h + -11. Put -2, p, v in descending order.\nAnswer: p, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/591878 and 77\/46.\nAnswer: 13613194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/(245\/(-21))*(-511130)\/3882?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 12704*o + 86. Let d be v(3). Let z = d + -25077. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 3499981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/(-3) + ((-36)\/(-7))\/3. What is the closest to 1 in m, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -211 + -311?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -77 + 80. Let x = 84 + -81. Solve -2 = x*f - 2*c - 0*c, 10 = -q*f - 2*c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 132*u + 2731. What are the prime factors of s(-14)?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-17)\/((v\/(v\/(v*v\/((v**(-22)*v)\/v))))\/v) assuming v is positive.\nAnswer: v**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 204665146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -962 - 22*o**2 + 962 to k*o**2 + f*o + i and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1900464 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 11\/2  (b) -1  (c) 30  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -34350 + 34380. Suppose k = -2*k + 6. Suppose 3*h - k*h = 6. Calculate the least common multiple of h and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h. Let w(s) be the third derivative of 71*s**4\/24 + s**2 - 121*s. Determine u(w(i)).\nAnswer: -71*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2150455 + -2150475.20841. Let i = n - -20.22. Let z = -0.0142 + i. What is z rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -89, -8?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 + (4\/22 - 280\/88). Let w be -7*(-14 + 2 + t). What is the greatest common divisor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 53*r**2 + 99*r - 147. Let t be z(-51). Let l be (-1)\/(-1 + 5\/4). What is the units digit of ((-33)\/t - l)*(1 - 49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 388945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 27851499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 300\/19 - 1827\/76. Let r = -2\/2727 + -199067\/5454. What is the common denominator of r and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 712 and 11.\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*o = -220. Let l = o + -40. Suppose -l*v + 26 = -3*v. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000008854 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 616?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -193, -1, -4 in decreasing order.\nAnswer: 4, -1, -4, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d - 11. Let t(z) = -z + 12. Let v(j) = -7*i(j) - 6*t(j). Give v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(1008) - sqrt(7) - sqrt(126)\/sqrt(2)) + (sqrt(28)\/(sqrt(24)\/sqrt(6)) - (sqrt(700) + sqrt(700) + -3 + sqrt(700)))))**2.\nAnswer: -126*sqrt(7) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**5 - 68*t**4 + 3100*t**3 - 24208*t**2 - 59098*t + 733460 = 0.\nAnswer: -62, -5, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 929897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = 13*o + 298. Calculate the remainder when 28 is divided by 153\/o*(-3 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6599 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**4\/3 - 5*j**3\/3 - 3*j**2 - 15*j - 4. Let i(t) = -9*t**2 + 22*t + 12. Let c(g) = -3*i(g) - 7*s(g). Calculate c(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5*-65\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 6*25\/(-45)*18\/45*165\/(-418)\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24 + 36 - 58 + 116*p to g + v*p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of v**5\/20 - 3*v**4\/4 + 3*v**3\/2 - 3*v**2\/2 - v. Let m be p(8). Solve -2*r - 3 + 0 = -d, -d + m = -4*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23048 + 8171. Round t to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 48072.023 to the nearest ten.\nAnswer: 48070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-20)\/(-3 - -8) + 0 + -28. Let c(z) = -6*z - 27. What is the tens digit of c(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 * -2217258\nAnswer: -13303548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 123959261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**(-14\/9))\/k*k)**20*(k**35)**(-30) assuming k is positive.\nAnswer: k**(-8990\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5423 + 5422.958811. Round p to three decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -858368 divided by 56.\nAnswer: -15328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3\/4))**(12\/13))**44\/(w**(-4)\/w**(-11))**(-1\/4) assuming w is positive.\nAnswer: w**(-1493\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3791, -1, 3, -2 in decreasing order.\nAnswer: 3791, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 43110 - -28207. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 + 29. Suppose 0 = d - 4*d + u + v, u - 25 = -4*d. Solve -4 = -d*j + j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t + 3*t - 2*t + 9*t - t - 19*t + (0 + 1 + 0)*(-6*t + 3*t + 2*t) - 5*t - 3*t + 4*t to m + c*t and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 + 9*g**2 + g. Let y be f(8). Let j be y\/(-56) - (0 - 1). Let n be (3\/5)\/1*-1. Which is the third biggest value?  (a) n  (b) j  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -1 + 0 + 0. Let o(q) = q - 70. Let z be o(65). Let g(u) = u + 1. What is z*s(i) - 2*g(i)?\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11.4 + -12.86. Let z = -1.16 - m. Which is the nearest to -4?  (a) z  (b) 0.5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 9*w**3 - 4*w**2 + 2*w + 22. Let v(h) = h**3 - 2*h**2 + h - 1. Determine -s(q) + 2*v(q).\nAnswer: -7*q**3 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -354*d + 366*d + 108 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -14*b - 23. Let g(v) = 42*v + 69. Let x(s) = -11*d(s) - 4*g(s). Let k = 48 - 42. Let j(h) = 5*h + 8. Calculate k*x(r) + 17*j(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 1:50 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 10\/15*10\/(260\/39)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4864 and 1024.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 3740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {c: 3, m: 1, y: 3, v: 1, g: 5, u: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 406 divide 53573443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/5*(-9)\/(-6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1725 + 1753 - 4*n**2 + 0*n**2)*(0*n - n + 6*n).\nAnswer: -20*n**3 + 140*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 9:13 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 450358 is divided by 180.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 10. Suppose 2*i = 3*j - 8, 4*j - i - 12 = 2*i. Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(490\/(-25))*(-12)\/(-30)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 9. Let k be 4 - (-1 - -32)*d. Let b = k + 6. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -576919.4 to the nearest ten thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 5  (b) 0.03  (c) 10  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1305973284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-1)*(-6 - -3). Let b(r) = -r**3 + 7*r**2 + 5*r + 16. Let z be b(8). What is the tens digit of z\/(-1) - (1 + x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**2 + 281*u + 1445. Let p be q(-5). Let y(x) = x - 3. Let d be y(4). Sort 2, -1, p, d in descending order.\nAnswer: p, 2, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1802680349 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 + -8 - (2 - 0) - 2) + -162 + 212.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24 - 810*x**3 + 0*x**2 + 808*x**3 + 0*x**2 to l*x**3 + w*x**2 + p*x + n and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**3 - 22*w**2 - 96*w + 288 = 0. Calculate w.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2bb65 - -2?\nAnswer: 2bb67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.913072 months to years.\nAnswer: 0.242756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1175910 is divided by 43552.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21664*v + 2642*v + 4615*v.\nAnswer: -14407*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116 - 8 = 12*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1838 - 9188\/5. Which is smaller: 2362 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4326, -8650, -12974?\nAnswer: -17298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/7*t**4 - 286\/7*t**2 - 480\/7*t - 225\/7 - 32\/7*t**3.\nAnswer: -(t + 1)**2*(t + 15)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 21*h**2 + 324*h - 5546. Calculate s(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6.9 + -11.9. What is the nearest to -1\/4 in -4, n, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) -0.3  (b) 0.1  (c) 0.04  (d) -0.4  (e) 0.5  (f) 23  (g) -268\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1\/3*(-9)\/(-6)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 91 a factor of 1010977695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1 + sqrt(25)\/sqrt(5)*-6*-5 + 3 + 1*sqrt(5) + 0 + sqrt(125))**2.\nAnswer: 288*sqrt(5) + 6497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(2\/11)*s)\/s*(s\/(s\/s**(-2\/5)*s)*s)\/s)\/(s**(-1))**(-16\/3) assuming s is positive.\nAnswer: s**(-1081\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/18?  (a) -5  (b) 0.5  (c) 20  (d) 5\/2  (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2941, -3631, -4345, -5095, -5893, -6751, -7681?\nAnswer: -8695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3795 rounded to two dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2*m - 29 = 0, 8*k - 3*m + 31 = 3*k. Sort k, 5, -8, 3.\nAnswer: -8, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 190 = -5*r + 1100. List the prime factors of r.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-18)*u\/(u\/u**5*u))**34)**3 assuming u is positive.\nAnswer: u**(-1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 20*y**2 - 111*y - 628. Is h(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*n**4 + 2 + 8*n**2 - 4 + 4 - 6*n**2 - 36*n - 7*n in the form p*n**2 + o*n**3 + u*n + z + s*n**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -89, 6, 2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s + 0*s + 3*s - s - 2 + 2 + 4*s - s - 4*s + (-5 + 4 + 2)*(2*s + s - 4*s) + (0*s - 2*s - 3*s)*(4 + 2 - 3).\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12414.\nAnswer: 2, 3, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19618349 is divided by 2056?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 425\/411 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 429*v**2 - 2141*v + 551261. Give q(431).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1217 - -3189. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -49 + 35. Let n = 28 + m. Let w be (-5)\/(-15) + n\/(-6). What is the closest to -1 in -1, w, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sps when three letters picked without replacement from {s: 3, j: 4, p: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/162)\/((-4)\/6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*q + 47*q - 41400 = -61*q. What is the lowest common multiple of q and 322?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*x**3\/5 - 109226*x**2\/5 + 216924*x\/5 + 3944\/5 = 0. What is x?\nAnswer: -986, -2\/111, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/33)\/((4 + -3)\/(-3)). What is the third smallest value in 4, w, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*f**3 - 56*f**3 - 40*f**3 - 66*f**3 - 27*f.\nAnswer: -143*f**3 - 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -465\/683?  (a) 4  (b) 1\/3  (c) -0.3  (d) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-33 - -18) + 68 - 9. What is the highest common divisor of h and 3817?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -31 - -36. Which is the third smallest value?  (a) z  (b) -1  (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55 = -30*z - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of 0*j + 0*j**3 - 1\/24*j**4 + 0 + 6*j**2. Suppose 0 = -4*d + 3*d - 3. What is f(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + -1120132313?\nAnswer: -1120132320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -7617675471 + 157?\nAnswer: -7617675314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 21 = -2*l + 3*k, l = -4*k - 15. What is the second derivative of 5*x**l + 4*x**5 - 6*x + 25*x**4 - 25*x**4 wrt x?\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s = -w + 18, 51973 - 51940 = 3*w - 4*s for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 5*-21*8\/60. Let a = o - -17. What is the remainder when 10 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -29, 2, -69, -4 in decreasing order.\nAnswer: 2, -4, -5, -29, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 303383, 606900, 910417, 1213934, 1517451, 1820968?\n\"Answer: 303517*v - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01571687906 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*c - r, -c - 4*r + 5 = 14. Let z(l) = l. Let t be z(c). Calculate the smallest common multiple of 2 and 0 - (t + 1 - 16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54969?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) - (1*sqrt(121) + sqrt(121)))*-6 - sqrt(121))\/(sqrt(11) - (sqrt(539) + sqrt(539)*-2)).\nAnswer: 5*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1755 + 6*x**2 + 1755 - 8*x to the form c + l*x + o*x**2 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -7, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 41, 11, -19, -49, -79?\n\"Answer: -30*t + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 PM and 1:08 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 1595 = -2*r, 812 + 1603 = 3*r + 3*n. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**2 - q + 1. Let b = -2 - 1. List the prime factors of v(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93580 is divided by 1007.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 2204?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*r = 5*n - 72*r - 164, -n = 5*r - 84 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-5 - 1 - (2 + -4 + -12))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -4*l - 13. Let y(c) = -2*c - 6. Let a(d) = -6*j(d) + 13*y(d). Let h(g) = -2*g. What is h(a(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.68 and -5.\nAnswer: 13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t**3\/5 + 27*t**2\/5 - 72*t\/5 + 12 = 0. What is t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1, 7.\nAnswer: -5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 2 = 13. Suppose -c = -3*k + 4*c - 32, 24 = -p*k + c. Put 2, -17, -5, k in descending order.\nAnswer: 2, k, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -284*m**4 + 570*m?\nAnswer: -3408*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(135)\/sqrt(3))\/sqrt(9) - sqrt(35)\/(sqrt(252)*-2).\nAnswer: 25*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 5*b - 180. Suppose 2*t - b - 7 = 0. Suppose -144 + t = v. Round v to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-24)\/(-5))\/((-6)\/(-20)). Let a be 244\/16 + (-4)\/n. Solve -5*k + 35 = -5*s, -2*k + a = -s + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -1131?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by -13044414?\nAnswer: 1\/2174069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.131, -1, -27, -2\/7, -4\/5.\nAnswer: -27, -5, -1, -4\/5, -2\/7, 0.131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -531424 + 115225?\nAnswer: -412155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a hour in minutes?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -r + 8, z + 6 = 3*r + 2. Let n(j) = 223*j**2 + 3*j - 3. Is n(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41 - 2 - 21)*(3*t + 0 + 0)*(-3*t - t + 2*t).\nAnswer: 384*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q - 8. Let i = -21 + 34. Let a be c(i). Suppose o + 25 = 6*o. Solve -4*s + 7 = o*r + 2, 2*s = a*r - 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, k: 17}. Give prob of sequence rrk.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -56 - 8*y**2 + 20 - 8 + y**2 - 2*y**2 + 0*y**2 + (0*y - y + 2*y)*(2*y + 0*y - 4*y) + 0*y + 0*y + 2*y**2.\nAnswer: -9*y**2 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0110066 rounded to 5 decimal places?\nAnswer: 0.01101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 7*f = -3*q + 11, -q + 10 = 5*f. Suppose -i = -f - 7. Suppose 14 = 4*p + 2*n, p + 4*n - 6 - i = 0. Solve 0*x = -p*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 481, -4 in decreasing order.\nAnswer: 481, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 1\/3, 2, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3001742 to the nearest integer?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 413411 (base 5) to base 4.\nAnswer: 3110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3e + 5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81599 is divided by 150.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 20. Suppose 62 = f*x + 6. Solve 0*w - x = 4*w + 2*g, 3*g = 2*w - 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -2*x**2 + 7*x + 1. What is m(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 - 2*k**2. Let n be t(-3). Suppose g - n = 11. Let z = g + -9. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q**2 - 27*q + 39. What is the thousands digit of a(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -16*f**2 + 43*f - 1. Let a(x) = -48*x**2 + 127*x - 3. What is 3*a(k) - 8*s(k)?\nAnswer: -16*k**2 + 37*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 319298\nAnswer: 1596490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 15\/40820824 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 754473611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 235 = 5*y + 2*g, -45 = -y - 3*g. Let x = -23 + y. Let c = x + -25. Is 1 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 151 divided by 99788?\nAnswer: 151\/99788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1824 is divided by 366?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 155 - 151. Let i = -1849 - -1847. What is the closest to -6 in r, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10\/15 + (-39)\/(-9). Let s be 0 - (0 - 2) - (m + -3). Factor j + s - 1\/2*j**2.\nAnswer: -j*(j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -85*d**3 + 70*d**2 + 577*d + 6 wrt d?\nAnswer: -510*d + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 248 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z. Let t(x) be the second derivative of -x**3\/3 - 99*x**2 - 26*x + 2. Give t(l(f)).\nAnswer: -4*f - 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 138 + -417. Let y = d - -278.7. Let s = 3 + -5. Put -1, y, s, 3 in ascending order.\nAnswer: s, -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-772)\/8*-2*1?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 512906485 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + q + 3*x = 3, 4*x - 16 = 0. Let b = 21 + q. Let z(o) = o**2 - 10*o - 12. What is the remainder when 35 is divided by z(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21107*g**3 - 9*g**2 + 154 wrt g?\nAnswer: 126642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {b: 3, t: 12, d: 1, s: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 - 6*c**2 + 2*c - 1. Let a(z) = z**3 + 9*z**2 + 7*z - 5. Let r be a(-8). Let q be (54\/21)\/r*7. What are the prime factors of l(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a and 1 g when four letters picked without replacement from gggagagggga?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 438761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -67910777 divided by 11.\nAnswer: -6173707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, x: 1, j: 1, h: 1, n: 2, p: 3}. What is prob of picking 1 p and 2 n?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13441?\nAnswer: 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 1188 = -4*d, -15*d = -11*d + 5*k + 1164. Let m = -291 - d. Put m, 1, 4 in descending order.\nAnswer: m, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 48370 and 875.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 2*a = 12. Suppose 2 = 5*g - a. Let h be 10*(g - 1\/(-1)). Solve 0*i + h = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 - 4*h. Let q(f) be the first derivative of 2*f**3\/3 - 5*f**2\/2 + 6. Calculate -5*o(x) + 4*q(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3\/2 - 10441*k**2 + 41770*k - 41772.\nAnswer: -(k - 2)**2*(k + 20886)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.00328 and -9.\nAnswer: 0.02952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*r**3 + 413*r**4 - 62*r - r**2 - 2*r**3 - 396*r**4 wrt r.\nAnswer: 204*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 13849, 18103, 22325, 26515?\n\"Answer: -16*f**2 + 4302*f + 9563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) - ((sqrt(95) - -2*1*sqrt(95)) + sqrt(95) + sqrt(95) + sqrt(95) - sqrt(95)))\/(sqrt(45)\/(2*sqrt(9))).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 2389 = -5*y - 208, w = 4*y - 1745. Suppose -3*l + 416 = -y. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*u - 141*u + 243 - 243.\nAnswer: -188*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -9944438, -9944456, -9944484, -9944522, -9944570?\n\"Answer: -5*b**2 - 3*b - 9944430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 119 + 69. What is the remainder when b is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from hffffffeehejef?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 85823713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 AM and 2:22 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -101645 - -4233?\nAnswer: -86412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31 - -4. Suppose -4*m + 11 + 73 = -4*g, -5*m + 75 = 5*g. Calculate the remainder when x is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 39 = -35. Let -4\/3*d - u - 1\/9*d**2 = 0. Calculate d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3985 + 2836 = 901*l + 46465 for l.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 8.06847 years?\nAnswer: 0.0806847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 35 - 30. Let f = 126 + -886\/7. Which is the closest to 1\/3?  (a) g  (b) -4\/5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -40977032*k**4 - 9651698 wrt k?\nAnswer: -163908128*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.28827 + -0.34529. What is c rounded to two dps?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*d**4\/7 + 33*d**3\/7 - 87*d**2\/7 + 3*d\/7 + 18 = 0. Calculate d.\nAnswer: -1, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -111*a - 32*a - 420*a - 109*a - 58*a as m*a + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7552990 by -1510598.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of 17\/42*k**7 - 29*k + 0 + 0*k**2 + 0*k**3 + 0*k**5 + 2\/3*k**4 + 0*k**6. What is the third derivative of t(a) wrt a?\nAnswer: 1020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 + 0 = 7*r. Let f = -6 - -4. What is the closest to f in -0.4, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -353, 13, 1.5, -2\/7 in decreasing order.\nAnswer: 13, 1.5, -2\/7, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 44697469237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*p - d + 30, 16*p + 18*p - 25 - 70 = 4*d + 55 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.457 + -0.45166. Round w to 4 dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 36.441 and -5?\nAnswer: -182.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**5)\/(d\/d**(-4)*d*d))**(1\/7)*(d*(d\/(d\/d**(2\/7)))\/d*d)\/(d*d*d**(-3)*d)*(d\/(((d*d**(2\/5))\/d)\/d))**9 assuming d is positive.\nAnswer: d**(544\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 127 (base 9) to base 11\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**2 + 2 + 5*q**3 + 5*q**2 - 4*q**3 - 3*q**2 to u + l*q**3 + b*q + j*q**2 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c**3\/7 - 30*c**2\/7 - 4*c\/7 + 30\/7 = 0 for c.\nAnswer: -1, 1, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*j - 9*j + 100. Suppose -28 = -j*f + 2*u, f - u = 2*f. Let b(h) be the second derivative of 3*h**2\/2 - 3*h. Let z(a) = a + 1. Give f*z(k) - b(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 73094 and 116021062?\nAnswer: 10442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence erl when three letters picked without replacement from ltlrrtrrvveetre.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 - -17. Let q(h) = -h**3 + 6*h**2 + h - 3. Let u be q(6). Which is the second biggest value?  (a) 1  (b) y  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2184126811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8\/441?  (a) 1\/6  (b) 0.4  (c) -2\/25  (d) -3\/2  (e) 2\/7  (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -967*c**2 - 2. Let w(d) = -1673*d**2 - 1678*d**2 - 1669*d**2 + 5019*d**2. Calculate j(w(s)).\nAnswer: -967*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/(-3)*(-582)\/(-20) and (-2)\/1 - 2\/(-14)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 58\/(-4)*(-14112)\/(-217413).\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39.32693 decades to months.\nAnswer: 4719.2316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 4*d**2 - 1. Let h be v(-1). Suppose q - 20 = h*q. Let g = q - -12. Solve n + 3*p = -9, 7*p - g*p = -n - 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 113\/226*0\/1. Put 2, x, 1, 5, 4 in ascending order.\nAnswer: x, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 - 192*c - 4978. Give g(-157).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(110)\/(sqrt(10) + (sqrt(160) - (1*sqrt(160) - sqrt(160))) - sqrt(10)) - sqrt(22)\/(-1*sqrt(200))) + 3)**2.\nAnswer: 21*sqrt(11)\/10 + 4139\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(468) + 1 + sqrt(468) + 3.\nAnswer: -1 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4 + -1 + sqrt(128) + 1*(sqrt(128) + 0)**2 + 6*(-5 + (sqrt(128)*1*-2)**2)).\nAnswer: 40*sqrt(2) + 15825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 8)\/(6 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 0 - 2)*(-10*o + 10*o + 6*o)*(29*o**2 + 14*o**2 + 8*o**2) as j*o + s*o**2 + y + b*o**3 and give b.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1279\/4 + 601\/2. Find the common denominator of 83\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5418496\/7 + 774072. Factor 80\/7*o + 38\/7*o**2 + u.\nAnswer: 2*(o + 2)*(19*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -30, -27, -24, -21?\n\"Answer: 3*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3187092 divided by -18\nAnswer: 531182\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 17 + -10. Let m(o) = o - 5. Let r be m(u). Suppose r*b - 3 = -b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -51048 divided by -6\nAnswer: 8508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 176, 191, 206, 221, 236?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -133 divided by 1.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 9:49 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 83e8 (base 16) to base 8\nAnswer: 101750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -10*l + 17. Solve -l*v - 4*r + 8 = 25, 3 = -3*v + 3*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 2) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 87*v - 406. Determine z(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -l**4\/4 - 55*l**3\/4 - 267*l**2\/4 + 1323*l\/4 = 0.\nAnswer: -49, -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33 + -34. Let j = 3 + -3. Suppose -2*s - 10 + 0 = j. What is the nearest to -0.1 in m, -2\/7, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*j**4 - 5*j**3 + 15 - 20 + 7 + 19*j**4 - 2*j**2 wrt j.\nAnswer: 408*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2470302659 to the nearest integer?\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7\/5, 0.1, -1\/2, 0.5 in ascending order.\nAnswer: -7\/5, -1\/2, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -19, -24, -2\/11, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -312.8 + 310.8. What is the fourth smallest value in 0.37, 0.3, 4\/7, -5, z?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 2, t: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddxddddddddd.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/((p\/(p**(-2)\/p)*p)\/p))**43\/((p\/((p**2*p*p)\/p))\/p)**(-6\/7) assuming p is positive.\nAnswer: p**(-620\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 23 + 2. Suppose 11 + 13 = 4*m - 2*g, 4*m = -h*g - 4. Let y(o) = -o**2 - 2*o - 1. Let f be y(-1). Solve 0 = 2*l + m - f for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1024756196?\nAnswer: 2, 311, 823759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 527429?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 85515773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -56 - (-34 - (-53 + 44))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*h + 0*h + 624 = 66*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 4*c + 7. Suppose -y = -0 - 5. Let w be n(y). Suppose 0 = w*i - 10, 3*p - 4*i = 2*p + 19. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/25)\/((-9)\/5). Suppose 220*i - 47*i + 1610 = -149*i. What is the biggest value in 0, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 9*r**2 - 7*r + 1. Let i(y) = -y**3 + 8*y**2 - 10*y + 12. Let t be i(7). Is 11 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1003 is divided by 154?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 3*k - 4*h + 3, 5*h + 30 = -5*k. Let b = k + 11. Sort 1, -3, b in descending order.\nAnswer: b, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - 14. Let y = 16 - h. Suppose 2*r - 97 = -y. What is the remainder when r is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 440\/16 + 6\/(-4). Let z = a - -43. Calculate the remainder when z is divided by 15 - 1\/(2 + -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 - 6*p**2 + p + 8. Let u be t(-7). Suppose -16 = -r + 85. Let o = r - u. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -218 divided by 2704?\nAnswer: -109\/1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 33 = f + 32, l = 5*f + 67 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 20 + 24. Suppose 0 = g + 4*h - 24, -3*g + 0*h + 112 = j*h. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3783 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*g**2 + 16*g**2 + 14*g**2 + 2 - 33*g**2 in the form p*g**2 + u + w*g and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8688, -8555, -8426, -8301, -8180, -8063, -7950?\nAnswer: -7841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3*c = -236, 3*w - 234 = 4*w - 4*c. Let y = 67 - 331\/4. Find the common denominator of (w\/(-6))\/(12\/2) and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 - 8*x + 3. Let q be l(3). Factor -21*p**2 - 6*p**3 + q*p + 9 - 27*p**2 - p**4 + 40*p**2.\nAnswer: -(p - 1)*(p + 1)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1434149*n - 1434149*n - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13268)\/1240*(-10)\/(-12) + 9.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (0 + 1 + 8 + -12 + 24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4806 and 2848?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 30 + -35. Let v be 3 + y\/(5\/(-14)). Calculate the greatest common divisor of 136 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/15 - 2544*d**2\/5 + 2167246*d\/5 + 304912684\/3.\nAnswer: 2*(d - 2003)**2*(d + 190)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 127952 - 41584328\/325. Let n = p + -6189\/650. Let s = 143\/49 - 6093\/392. Find the common denominator of n and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00120946 to six decimal places.\nAnswer: -0.001209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10416 and 3696.\nAnswer: 114576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 856 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 + t**2 + t - 4. Let d be y(-2). Which is smaller: -12 or d?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2. Suppose 0 = -5*d + u - 2*u + 6, 0 = 2*d + 3*u - 5. Let g be 0 - (-4 - (d + -2)). Determine o(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -i, -2*l = -7*l + 5*i + 25. Let y be (85\/5 - 17)\/3. Sort y, l, 1, 4.\nAnswer: y, 1, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 37312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -3*s**3 - 23*s**2 - 2*s - 2. Let z(h) = -4*h**3 - 22*h**2 - 3*h - 3. What is 6*p(b) - 4*z(b)?\nAnswer: -2*b**3 - 50*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 21 - 13 = 0. Is 147 + ((4 - 5)*1 - z) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(704)*-6)**2 + (sqrt(704) + 2*sqrt(704)*-6 + sqrt(704))**2*3.\nAnswer: -192*sqrt(11) + 236548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3888*g - 3903*g + 20790. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**17\/(s\/(s*s*s**21*s)*s) assuming s is positive.\nAnswer: s**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -4755, 2, -35, 5 in descending order.\nAnswer: 5, 2, -4, -35, -4755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 4, b: 1, m: 10, c: 2, s: 1}. What is prob of picking 1 m and 1 c?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 AM and 6:49 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -66432 divided by -8362?\nAnswer: 33216\/4181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 570969*c**2 - 4770*c + 2385. Let s(z) = 479*z**2 - 4*z + 2. Determine 2*a(x) - 2385*s(x).\nAnswer: -477*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-6) + 280\/24. Suppose k*l = 14*l - 357. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 90563 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a44 + 34?\nAnswer: a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 + 3*t**2 + 3*t - 8. Let x be q(2). Suppose 4*y = -o + 12, 3*y - 18 = -2*y - x*o. Suppose 2*i + 3*i = 5. Sort i, -0.02, y.\nAnswer: -0.02, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2953 is divided by 1216.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = -5*m + 21, 50*m - 969*t = -972*t - 96 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4836 - 429 - 2*i**2 + 1419.\nAnswer: -2*i**2 + 5826","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 342825*p**5 + 2*p - 167349?\nAnswer: 6856500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 9 - 25*f - f)*(f**2 + f - f).\nAnswer: -26*f**3 - 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) 4\/39  (c) -5  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b**5 + 1816*b**4 - 14344*b**3 + 32176*b**2 - 28564*b + 8920 = 0 for b.\nAnswer: 1, 5, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -741447 or -741401?\nAnswer: -741401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9380, -18758, -28136, -37514, -46892?\nAnswer: -56270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -12119 and 0.02.\nAnswer: -242.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 258 + -253. Which is the closest to 0.14?  (a) 0.2  (b) i  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -11*r + 0*r + 6*r. Let v(d) = 13*d**2. Determine v(j(c)).\nAnswer: 325*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.2  (b) -3  (c) -1\/2  (d) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -50153 + 774.1277.\nAnswer: -49378.8723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 13*l - 2. Let u(s) = 17*s**2 + 590*s + 589*s - 1179*s. Calculate j(u(v)).\nAnswer: 221*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 5*g - 1157, 260 = d - 2405*g + 2403*g. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10660507 (base 8) to base 13\nAnswer: 6324b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/74 + 71\/222. Are 0 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, l: 1, p: 1}. What is prob of picking 1 l and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 3:17 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 180*g**2 + 6 + 6 + 230*g**2 - 13. Is t(-1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2\/109, -11\/85, 2, 2\/17 in descending order.\nAnswer: 2, 1, 2\/17, -2\/109, -11\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f**5 + 2396*f**4 + 49120*f**3 + 247600*f**2 = 0 for f.\nAnswer: -10, 0, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t. Let w(c) = -11*c + 2. What is k(w(r))?\nAnswer: 22*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 less than -2163351?\nAnswer: -2163338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 312724.7 years in months?\nAnswer: 3752696.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*p**3 + 3*p**3 - 5*p**3 + 2*p to z*p + b*p**2 + a*p**3 + w and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (69\/299)\/((-3)\/(-2))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28631 is divided by 1444.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -1034*l. Let w(x) = 3*x. Let h(s) = -o(s) - 376*w(s). Let d(v) = -v. Calculate d(h(a)).\nAnswer: 94*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -8*k - 1. Let u(c) = 1. Let h be (-2 - -4)*-3*(-10)\/12. Let l(t) = h*w(t) + 5*u(t). Let g(z) = z**2. Determine l(g(q)).\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y + 1. Let h be o(2). Suppose -4*i + 3*i + 2 = 0. Put -1, i, h in decreasing order.\nAnswer: i, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of o**4\/3 - 20*o**3 + 112*o**2 - 1160*o. Determine y so that f(y) = 0.\nAnswer: 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37263416 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 1, g: 4, i: 1, u: 1, a: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 1 + 44 + 1 + -8 + (-104 - -107).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = 2*c + 581587984, 2*i - i - 145397040 = -5*c. What is i rounded to the nearest one million?\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*(-7 + 6))\/(7\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -13\/2  (b) -0.2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from nnnnnnnnnnnnnzn.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -92225360 divided by -178?\nAnswer: 518120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15413 is divided by 69?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.3 + 0.7. Let f = 722410 - 722413. Which is the biggest value?  (a) -8  (b) f  (c) y  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6\/(-69)*-4438 - 48\/(-552).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -2*f**2 + 76*f - 330 = 0?\nAnswer: 5, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 15c90 + 1b?\nAnswer: 15cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 + 44*z**2 + 42*z - 7. Determine k(-43).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 379.52 and -4.8883.\nAnswer: 374.6317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 8:03 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6632 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -0*m - 4*m. Let s(b) = -23 - 28*b**2 + 6*b**2 + 24 + 7*b**2 + 11*b**2 + 3*b**2. Give s(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22435 times -0.019\nAnswer: -426.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((40\/(-16))\/(10\/(-24)))\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + j - 3 = 2, 0 = 3*b - 4*j + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from {v: 1, q: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/1008 and -127\/2065608.\nAnswer: 28918512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -39  (b) 0.4  (c) 389.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24601, -24612, -24621, -24628, -24633, -24636?\nAnswer: -24637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 33439 or 66879\/2?\nAnswer: 33439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3662 + -3659. Let g(f) = f**3 - 3*f**2 + 6*f - 5. Let j(l) = 2*l**3 - 5*l**2 + 11*l - 9. Determine c*j(n) - 5*g(n).\nAnswer: n**3 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 2 - 2 + (0 + 2 - 3)*(j - 2*j + 0*j))*(24*j + 20*j - 12*j).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1a2 (base 12) to base 11\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*x - 7931 = -68*x. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 PM and 7:05 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x - 17. Let s(o) = 2*o - 23 + o + 58. Let q(t) = -5*f(t) - 2*s(t). Calculate the least common multiple of 3 and q(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 4*w + 7 = 0, 0 = 4*y - 48*w + 43*w + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -611975, -1223953, -1835933, -2447915, -3059899, -3671885, -4283873?\nAnswer: -4895863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -37, -51, -61, -67, -69?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 55 + 15 = -2*n, 13 = -u - n. Let j(b) = b**2 + 13*b + 24. Let p be j(u). Let t(l) = l + 3. Let i be t(5). Solve -p*w - i = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of 0 + 1\/12*n**4 - 2\/3*n**3 + 1\/120*n**6 + 1\/12*n**5 + 0*n + 4*n**2. Let y be c(-3). Solve -4*s - 4 - y = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 235800670 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**5\/4 + 635*s**4 - 212895*s**3\/2 + 5701995*s**2 + 125005275*s\/4.\nAnswer: -5*s*(s - 171)**3*(s + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1511498448 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:08 AM and 10:28 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-4) + -3)\/((-9)\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15.4 + 0.4. What is the fourth biggest value in 0.4, l, -2\/9, 2\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {c: 4, l: 4, j: 3}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -11*r**3 - 19*r**2 - 58*r + 1. Calculate z(-2).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 5*h - 3*l - 11, -3*l + 21 = 3*h. Let z be (h\/(-12))\/(2\/(-9)). Suppose -2*y = z*y - 25. Let x(s) = s**2 - 5*s - 3. Give x(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 29006  (b) 4  (c) -0.1  (d) -3\/5  (e) -0.071\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 15) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 1242100 to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2252 + 2254. Solve n - 2*u + 3*u = 4, c*n + u - 6 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9\/12 + 10\/8. Suppose 4*s + g*y - y = 19, 4*s - 16 = -4*y. Suppose s*j = -2*u - u - 4550, -2*j - 1518 = u. Round u to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/3)\/(16\/(-32))*(-72)\/52?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 1915*z**3 - 3*z**2 + 3849*z - 45. Let h(l) = 3*l**3 + l**2 - l + 15. Let x(u) = -f(u) - 3*h(u). What is the second derivative of x(d) wrt d?\nAnswer: -11544*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/((-5)\/4) + (-250)\/(-65).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1501*n**4 - 398*n?\nAnswer: -18012*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 0 = 2. Suppose 63*k - 45 = 72*k. Suppose -36 = -3*y - 3*c, -3 = -y - 3*c + 1. Put k, u, 5, y in decreasing order.\nAnswer: y, 5, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 60*n + 19. Let c be k(-11). Let q = c - -331. Let x = 597 + q. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10.8 + -10. Let z = 0.52 - -1.68. Let x = v + z. What is the biggest value in -1\/7, x, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2974, 23414, 78890, 186922, 365030, 630734, 1001554, 1495010?\nAnswer: 2128622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 2080 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/53466 and -77\/291.\nAnswer: 5186202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.1, 2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 4*s + 9. What is x(6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, l: 2, y: 1}. Give prob of sequence qll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6353 is divided by 163.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -16*w**2 + 2259*w + 2279. What is o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -627*x + 10824 + 4406 = -168*x + 4214 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 131839.3 rounded to the nearest 1000?\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 23848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2394 by -18.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 24.562851 milliseconds?\nAnswer: 0.00040938085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -18620298\nAnswer: 18620297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 + -66)*((-552)\/30 - 0).\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -8, -7, -5\/4, 91, 5\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((85\/300)\/17)\/(((-1410)\/120)\/47).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a + 35. Suppose 2*r + 2*m - 20 = 0, 0 = -5*r - 0*m + 3*m + 34. What is the lowest common multiple of b(-8) and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - (-3 + 1 + 5). Let h = j - -4. Sort h, 0, 4 in decreasing order.\nAnswer: 4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -883227 by 294409.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0086064054 to four decimal places.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + 0 - (1 - 2). Suppose 8 = -z - m*z. What is the smallest common multiple of 10\/(3\/(-6)*z) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*n + 28*n = 0. Solve n = 3*r - r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**3 + 2*n**3 - 2*n**5 + 4*n**5)*(-1 + 2 - 6) - 5*n**5 - 3*n**3 + 3*n**3.\nAnswer: -15*n**5 - 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((7\/(-21))\/(1\/3))\/((-43)\/(-1290))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -3*y**2 + 63*y + 573. Let g(k) = -4*k**2 + 62*k + 572. Let a = -177 + 183. Let j(m) = a*f(m) - 5*g(m). Factor j(n).\nAnswer: 2*(n + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 467763914 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of g**2\/2 + 14*g - 4. Calculate the lowest common multiple of i(-6) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 213312?\nAnswer: -213323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 324586 is divided by 203?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 5 - 3 = -3*l, -4*s + 3*l = -22. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 11067*j**2 + 70*j + 5. Let i(y) = 11066*y**2 + 56*y + 4. Give 5*i(f) - 4*o(f).\nAnswer: 11062*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 119481 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 54642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8464)\/470 - 9218\/(-1083115)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of 2*m**3 + 4*m**2 + 0 + 1\/6*m**6 + 0*m**4 + 0*m**5 + 0*m. Differentiate d(o) wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 5\/3, 7, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -880, -723, -264, 647, 2160, 4425?\n\"Answer: 25*c**3 + c**2 - 21*c - 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/18 - 1395\/(-675). What is the biggest value in l, 0.3, 0, 0.6, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -102309.296\nAnswer: -306927.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 1. Which is the second smallest value?  (a) q  (b) 0.5  (c) -0.5  (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20318447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -7*j - 7. Let x be t(-2). Suppose x*f - 2*f = 705. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 3*o + 5*d + 14, 0 = -5*o + 4*d - 14. Let p be 5*((-63)\/o)\/(15\/4). Calculate the highest common divisor of p and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4 or -210622?\nAnswer: -210622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 - -2)*1 - 6. Let t(l) = l - 3. Let w be t(-5). Let j be (-2)\/n + (-30)\/w. Solve -r + 3 = j*m, r + 3*m - 3 = m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 766, 773, 766, 733, 662, 541, 358, 101?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-4) - 15\/20. Suppose -3*a = -z*a - 84. What is the highest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19711, -19708, -19705, -19702, -19699, -19696?\nAnswer: -19693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20.15 + -20. Let f = 0.35 - k. What is the second biggest value in 1, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - 4.7. Let q = -11\/3 - -4. Sort -5, q, c.\nAnswer: -5, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3*r - 4*r + 0*r)*(-1 - 1 - 1) + 2*r - 2*r - r)*(7 - 7 - 4*r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-5 + 6*5*(0 + 4 + sqrt(425)*3)*-5)**2.\nAnswer: -432142625 - 13612500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 12 - 12 + 6*u**2 + u**3 + 2*u + u. What is the smallest common multiple of 8 and p(-3)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 4*w. Let g(s) = 4 - 2 - 3*s - 2. Let m(v) = 5*v - 7. Let x be m(2). Let i(n) = x*g(n) + 2*t(n). Let r(k) = -2*k. Determine 11*i(y) - 6*r(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.86 + 0.9. Let o = z - 0.13. Let l = o - -5.09. Which is the nearest to 1\/4?  (a) 2  (b) 1  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 411c1 (base 15) to base 9\nAnswer: 343861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of 40*q**4 + 83*q**3\/6 + q**2 - 37*q + 2. Is h(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1541 and 0.06.\nAnswer: 92.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(4\/7)\/(b*b**9))\/(b**2)**(5\/7) assuming b is positive.\nAnswer: b**(-76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times -0.01\nAnswer: 0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1155 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6848092 millilitres to litres.\nAnswer: 0.0006848092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 2\/5  (b) 3  (c) 0.1  (d) -199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -780, -788, -798, -810, -824, -840?\n\"Answer: -c**2 - 5*c - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -398  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*w**5 - 3*w**4 - 62*w wrt w.\nAnswer: -80*w**3 - 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zdvdazzzyauyyzy. What is prob of sequence yya?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4001 - -1?\nAnswer: -4000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2970 and 1755.\nAnswer: 38610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + o - 50 = 6*o, -5*t + 4*o = -145. What is the second derivative of -t*k + 459 + 0*k**2 + 3*k**2 - 12*k**4 - 459 wrt k?\nAnswer: -144*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17060 + 17893. Calculate the highest common divisor of 3808 and d.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*h**2 + 2*h**2 - h**2)*(3*h + 2*h**2 - 3*h) + 16*h**3 - 14*h**3 - 483*h**4 - 3109*h**4 in the form q + x*h + w*h**2 + l*h**4 + s*h**3 and give l.\nAnswer: -3590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + w = -w + 9360, 4*r = 2*w + 18672. List the prime factors of r.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -175\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the third derivative of a**7\/105 + 17*a**6\/6 + 535*a**5\/2 + 17000*a**4\/3 + 160000*a**3\/3 + 11*a**2 + 25. Factor j(b).\nAnswer: 2*(b + 5)**2*(b + 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 12, 19, -3, 0.0135?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 509 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7*o + 4 - 7 - 3 wrt o.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from mubbbmbbmbbwugggjbb.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 2436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.12, 0.3, 2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = z + 5*i, -3*z - 3*i + 9 = -0. Suppose -44*n = -48*n + z. Let d = -0.5 + 0.8. Which is the biggest value?  (a) d  (b) n  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 57 and 190?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 313 in 3\/14, -1\/5, 14\/13, 2\/7?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of -a**4\/66 + 217*a**3\/11 + 27*a - 54. Solve g(p) = 0 for p.\nAnswer: 0, 651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 - (-1 + -6 + 2))\/(-8). What is the closest to -2\/7 in 1, y, 10, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 - 29*i - 467. Let c be t(-11). Let u be 4\/18 - (-650)\/(-9). Let w = u + c. Calculate the remainder when 62 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -169070*s**4 - 441808 wrt s?\nAnswer: -676280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*t - 73678 = -11434. Let g = 34661\/10 + t. Calculate the common denominator of 95\/2 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7413.941 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/(((-1)\/(-1))\/(2\/(-4))). Which is smaller: 5\/66 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 0*n - 234. Suppose -7*w + 9*w = -414. Let r = n - w. What is the highest common factor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 98729, 98676, 98623, 98570?\n\"Answer: -53*l + 98782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18180, -18153, -18106, -18039, -17952, -17845?\nAnswer: -17718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92*z - 97*z + 175 = 0. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 4*k**2 - 20*k - 2. Determine l(-3).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n = -4*n. Let g(o) be the third derivative of n*o + 3\/110*o**5 - 7\/660*o**6 - 4\/33*o**3 - 3*o**2 + 1\/11*o**4 + 0. Let g(t) = 0. Calculate t.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 972073?\nAnswer: 53, 18341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 5*f - 67 = 0, -s - 15 = -2*f - 2. Let p = 9 + s. Let r be ((-21)\/p)\/(2\/4). Solve -2*c - c + r = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 7773948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 43\/2 of a century?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-19)*(-18)\/(-36)*-4\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -207332, -207334, -207338, -207344, -207352, -207362?\nAnswer: -207374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -77 * 6\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 60\/14 + 0 + 790\/(-70) + 11. Solve s + 2 = d, 3*d = -2*s - f - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 + 7*d + 10. Determine o(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13421 is divided by 274?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25 - -30. Suppose -s - 151 = -t*s - 3*h, 5*s - h = 165. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 6*t**3 - 4*t**2 - 2*t - 3. Suppose -8*s + 15 = -17. Let v be ((-6)\/(-4))\/(2\/4). Let u(o) = -5*o**3 + 3*o**2 + o + 2. What is s*u(j) + v*p(j)?\nAnswer: -2*j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + b = 5, 2*w - 35*b = -40*b + 33. Let s = 46.991 - -0.009. Put 1\/5, w, s in descending order.\nAnswer: s, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 9. Suppose -2*n + 127 = o*u, -76 = 5*u - 3*n - 313. Let v = u + -31. What is the remainder when 40 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 34 + -36. Let a be -6 - ((7 + -1)\/g - -3). Let y(x) = x + 6. Let l(o) = 2*o + 11. Calculate a*l(z) + 11*y(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*z - 12 = 4*h - 20*z, 2*h - 9 = 3*z. Suppose 4*l + 3*o + 1397 = h, 5*o = 3*l + 1127 - 72. What is l rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2582.698 seconds in milliseconds?\nAnswer: 2582698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -5*h + 56. Let k be n(11). Solve k = -c - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/7)\/((-3)\/21). Suppose -3*f = b*f - 10. Suppose -2*z = 3*z - 25. Solve -z*v - f = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/127944 and -107\/18.\nAnswer: 127944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 520 = 4*i - 8*i. Let w = 134 + i. What is the closest to -1\/5 in 3, w, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 426*k**3 - 202*k**2.\nAnswer: 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -852, -1763, -2674, -3585, -4496, -5407?\nAnswer: -6318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 110*t**2 - 42*t - 42. What is the tens digit of f(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 + (-4 + -1 - -1). Is (-2*(-41)\/8)\/((-2)\/u) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 522 + 116. Calculate the remainder when i is divided by 129.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 2 e when four letters picked without replacement from edddeddd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 - -14. What is the remainder when (-4)\/(n\/(-3)) + 7 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.86 - 0.726. Let c = -3777 - -3776.966. Let x = u + c. Is x >= -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of -r**4\/24 + 3*r**3\/2 + 6*r**2. Let j be g(6). Solve 5*y - 10 = 5*o - o, -y = -j*o - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -140141324 + -210?\nAnswer: -140142034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/7)\/z**6)**(6\/29)\/(z**(-1)\/z**(1\/3)*z**(5\/3)*z*z**(-6\/11)*z) assuming z is positive.\nAnswer: z**(-20689\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 29*x**2. Let j(g) be the second derivative of -35*g**4 - 2*g + 55. Determine -5*j(l) - 72*o(l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -6, 0, 4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 2 = 0, 2*l + 4*b - 17256 = -b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1289501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1837 is divided by 609.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 96, -2, 7, 13, 0 in descending order.\nAnswer: 96, 13, 7, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 655 - 658. Let g be 24564\/623 - y\/(-7). Calculate the highest common factor of g and 741.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/5, 0.2, -3.7, 8, -1\/3, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 17 = i. Let x = i + 13. Let j = -0.276 + 0.276. What is the third smallest value in j, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - -27) + (83 - 80) + -13 + 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1860.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4*n = 2596. Suppose -2*r + n = 2*r + 2*u, -2*r - 4*u = -1298. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 0 - 23 + 3 = 0. Solve 3*a - f*u = -1 - 1, 20 = -3*a - 4*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 10*d - 117035. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9176.\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -830 divided by 166.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/7, 5, -1\/3, -37.36, -0.7 in decreasing order.\nAnswer: 5, -2\/7, -1\/3, -0.7, -37.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/10*-2)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -0*v + 69. Suppose -2*y + v = -111. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, n: 2, r: 2, m: 1, l: 1, b: 1}. Give prob of picking 1 a and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*f + (-1 - 2 + 2)*(-2*f - 1 + 1) + 5*f - 6*f + 0*f + 3*f - 5*f + f + 2 + (-1 - f + 1)*(-2 + 2 + 2) - 2 + 2 + f.\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -41*o + 47. Solve -h - 2*v - 3 = 0, -4*v + 1 = -h - o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -0.0376?\nAnswer: 0.00752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2558*r**3 - 6586*r**3 + 2 - 6046*r**3.\nAnswer: -10074*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/42 and -139\/1071084.\nAnswer: 1071084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 36*r = 170 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 298*q + 188 wrt q.\nAnswer: 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 - 15 - ((-1 - (3 + 4)) + 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 3*o + 6*z - 4*z, -35 = 5*o + 2*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 10 = 8573*k - 8587*k, -5*f = -5*k - 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/231 and -94\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 2 = 5*j. Suppose j*u = -2*r + 22, 5*u - 1 = 5*r - 6. Solve 0 = u*v - 2*v + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*v - 2708*v - 15852 + 2407 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -3*y**2 - 115. Let l(v) = 8*v - 101. Calculate l(u(c)).\nAnswer: -24*c**2 - 1021","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -40, 2452, -1, 155 in increasing order.\nAnswer: -40, -1, 155, 2452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*p + 7*p + 5*p)*(406*p**2 - 51517*p + 51517*p) + (-2*p - 1 + 1)*(-2*p**2 + 2*p**2 + p**2).\nAnswer: 2840*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 72\/6*13\/(-117)*(-13 + 46).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -963c6 + 4a?\nAnswer: -9637a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34159 = 611*s - 3552 - 3112 for s.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 817877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (143\/(-26) - -5)*(1 + 1). Let o = 414 + -17801\/43. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12a3 + -9264?\nAnswer: -7a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**3\/7 + 28456*w**2\/7 + 28470*w = 0 for w.\nAnswer: -7, 0, 14235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - w**2 - 2*w - 2. Let r = 22 - 22. Let b be d(r). Sort 2, b, -3.\nAnswer: -3, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that j**2 + 26503734*j + 175611978985689 = 0.\nAnswer: -13251867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-174)\/(-54) - (-2)\/(-9))*-1. Let a(b) = 7*b + 6. Let l(u) = -11 + u + 14 + 3*u. Calculate r*a(y) + 5*l(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13187 + 13217.76. What is v rounded to 0 decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(98) + 1) - (sqrt(98) + 1 + sqrt(98) + -2))**2 + -4*1*sqrt(98) + (sqrt(98) + sqrt(98) + 0)*6.\nAnswer: 616*sqrt(2) + 6297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 567\/6*(-150834)\/(-483)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 19*h**2 + 20*h - 13. Is b(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.6, 0.8, -0.7?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 PM and 5:49 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8678454l in millilitres?\nAnswer: 867.8454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2931478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9\/((66\/(-80))\/(-11)). Suppose y = 10*t - 6*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(160)\/sqrt(4)*-2)\/(1*sqrt(40)\/sqrt(5)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (11749 - 2458 - 145 + 1267)*(x - 3*x + 0*x + 2*x**2) as s + a*x + v*x**2 and give v.\nAnswer: 20826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 2777733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -2. Let g = 3 + p. What are the prime factors of 2*(-6)\/(-9)*g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) -2\/105  (c) 78  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 121216?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 85928111 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - k**3 + 2*k + 3*k + 0*k - 4*k to the form r*k**3 + n*k + h*k**2 + b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-1)\/(-2)*38*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42624.304 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -279136, -557506, -835876?\n\"Answer: -278370*t - 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**3 + 2*q**2 + 5*q. Let o = 10 + -12. Let b be (o + 4)\/((-7)\/(-14)). Calculate d(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/861?  (a) 8.094  (b) 0.5  (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10422 and 15054.\nAnswer: 135486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -364715*f*q**2 + 104437*q**2 + 2*q wrt f.\nAnswer: -364715*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000200865 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 5*z + 14 - 203*z**2 + 6*z - 47.\nAnswer: -203*z**2 + z - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b - 135 = -7*b. Let i be (72\/15)\/(b\/(-326250)). What is i rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1564747529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 85*w. Let o(l) = -2*l**2 + 4*l + 5. Determine o(b(q)).\nAnswer: -14450*q**2 + 340*q + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand t**5 + t**3 - t**3 + 2*t**5 + 4*t**5 - 3*t**5 + (4 - 2*t**2 - 4)*(0*t**3 - 3*t**3 + t**3) + 2*t**5 - 6*t**5 + 2*t**5.\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**2 - 25*w - 1. Let f(j) = -13*j**2 + 153*j + 15. Determine -f(y) - 6*u(y).\nAnswer: 25*y**2 - 3*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 21670?\nAnswer: -21671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -89 (base 12) in base 15?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97572594?\nAnswer: 2, 3, 7, 2323157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 5*t + 22. Give j(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205 = -2*u + 4*y - 207, -74 = -37*y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -150*u - 31491. Calculate n(-210).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4685478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -4*sqrt(1008) + 1)**2.\nAnswer: -576*sqrt(7) + 16164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(200))*4 - (-5*3*sqrt(200))**2) + 6*(sqrt(200) - (-4 + sqrt(200) + 2)) + 3.\nAnswer: -44993 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 75445 and 78310?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2489711 is divided by 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 12 = -2*u. Let t be (u - 2*-2)*0. What is z in 15*z**2 - 17*z**2 - 2*z + t*z = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 3:51 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0045664 rounded to five dps?\nAnswer: -0.00457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (207 + 774 - 22)*(-19*q + 47*q - 20*q).\nAnswer: 7672*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -x + 24. Suppose 4225 = 64*y - 39*y. Suppose 181*t = y*t + 660. What is the remainder when t is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -31, -0.4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2035 in 42, -5, -0.4, 1\/7, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 992425.2 nanoseconds in microseconds?\nAnswer: 992.4252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(84) + 4*sqrt(84)*-5 + sqrt(84))\/(sqrt(126)\/sqrt(2)))**2*6 + -1.\nAnswer: -432*sqrt(3) + 2645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, c: 3, s: 1, b: 4, n: 2}. What is prob of picking 2 b and 2 n?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-38 + 10 + 6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/6*o**2 + 0 - 1\/6*o.\nAnswer: -o*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (12 - 9 - -1 - 10) - 11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 4, 143.\nAnswer: 4, 8, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.146696303 to 3 decimal places.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93670 is divided by 46032?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of -y**5\/360 - 109*y**4\/72 - 3*y**2 + 68. Find h such that o(h) = 0.\nAnswer: -218, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, w: 7, n: 5}. Give prob of picking 1 r and 1 w.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23069?\nAnswer: 17, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/(-18) - (-6)\/(-4). Put 6, 0, d in decreasing order.\nAnswer: 6, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -91.3 + 91. What is the closest to -1\/2 in -0.5, 4, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2688189 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 106243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 6*k - 18 = -2*k, -2*m - 3*k = -4. What is the highest common divisor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11.68 - -14.88. Suppose 0 = -0*c - c - 3. Which is greater: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5765 is divided by 322?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**3 - 3*t**3 + 2 - 3)*(2*t**2 + 3*t**2 - 2*t**2).\nAnswer: -3*t**5 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 159*f**3*o**2*q**3 + 9*f**3*o*q + 3*f**2*o**2*q - 29*f*q**2 + 57*o**2*q**3 wrt q?\nAnswer: 954*f**3*o**2 + 342*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 1:10 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, -1500 in descending order.\nAnswer: 1, -2, -1500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-200*m**3 + 120*m**3 + 50*m + 52*m - 102*m - 2214*m**3)*(m - m + 4*m).\nAnswer: -9176*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 9*p**2 - 19*p + 14. Let a be h(6). Suppose -j + 56 = 5*s - 42, 4*s - a = 0. What is the remainder when j is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**3 - 48*o**2 + 75*o + 126.\nAnswer: 3*(o - 14)*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2784)\/(-462))\/8 + 2\/(-11).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10829 and 40859?\nAnswer: 4862221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10489*n - 20987*n + 20 + 10499*n.\nAnswer: n + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -3*-6*(-2)\/(-54)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -143\/5520 and -143\/480.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1\/3*(-360)\/20\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7218 by -18.\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(225) - 5*(sqrt(225) + (sqrt(225) - 2*sqrt(225))) - sqrt(225) - sqrt(225)) + sqrt(225))\/((sqrt(45)\/sqrt(3))\/sqrt(5) - -2*sqrt(48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1884 divide 1136050764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of m**6 + 0*m**5 + 0*m**4 + 0*m**2 + 0*m - 7 - 10\/3*m**3. What is the third derivative of o(s) wrt s?\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 9152611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, s: 1, j: 4, v: 1}. Give prob of picking 1 v and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.08494 - -55.00534. Let w = 50.92 - b. Let p = w + 2. What is p rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0244 + 629.60402?\nAnswer: 629.62842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 239.5 - 240. Put -5, z, 4 in decreasing order.\nAnswer: 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1657 or -1655?\nAnswer: -1657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -24*(-7)\/77 + 2\/(-11). Solve 3*w - w = 2*x + 16, -3*x = j*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 666, 1331, 1996, 2661, 3326, 3991?\nAnswer: 4656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32270?\nAnswer: 2, 5, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28 + -24. Suppose 16 = 5*j + f, -4 = -c*j - 5*f + 2*f. Suppose j*n = -3*n + 98. What is the least common multiple of n and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 1 e, and 1 s when three letters picked without replacement from {e: 3, z: 1, s: 3, t: 3}.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -63.5 - -106. What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 10:45 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3*h = -59581, -5*h = 54*f - 53*f - 59621. List the prime factors of f.\nAnswer: 2, 47, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-6))\/(50\/(-225))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 18 = -0*g. Factor -27 + g*r**2 + 3*r + 27.\nAnswer: 3*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, -3, 3, 2, 3650106 in descending order.\nAnswer: 3650106, 3, 2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -168, -262, -356, -450, -544?\n\"Answer: -94*r - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 103\/362 or -1?\nAnswer: 103\/362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -4043\/24942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 66671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -37 - (-6 - -5) - -34\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -0*g - 5*g. Factor 6*q**g - 2*q + 2*q**2 - 2 - 4*q**3 + 0*q**3.\nAnswer: 2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s + 5*s + 2*x - 10, 0*s + 83*x - 78*x - 25 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 64 and 104.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1045 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(7*(-7)\/(-196)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-32)\/6 - -6) + 2\/(-6). Let b = -0.06 + -4.94. Is b greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3147*o**2*z**2 - 1161*o**2*z - 3*o*z**2 + 2*o - 5452*z**2 wrt o.\nAnswer: 6294*z**2 - 2322*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g - 1. Let w(h) = -1. Let z(k) = 6*k + 12. Let s(u) = -18*w(u) - z(u). Let o = -2 - 1. Let d be 1 - (-9)\/((-9)\/o). Calculate d*f(y) + s(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60842 is divided by 1339.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((40\/92)\/(-5))\/((-124)\/713).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1  (b) 1\/3  (c) 3  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pmzppmppzpppzmzzzzp. What is prob of sequence mz?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 19 or -1.29794?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 949472?\nAnswer: 2, 29671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + 8. Let i = -18.0000018 + n. What is i rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1276211074551 and -0.4?\nAnswer: 1276211074551.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -358*l + 479 = -58*l - 6421 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19 - -31. Let q be (-27)\/r + (-2)\/(-1). Let w = -2349 + 4697\/2. What is the nearest to w in 1, q, 2\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -776*j**2 - 2*j**4 - 782*j**2 - 780*j**2 + 2331*j**2 + 3*j**3 to the form l + i*j + k*j**4 + p*j**2 + v*j**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000711 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 88 + 120. Let o(a) = -22*a - 94. Let h be o(-5). Calculate the highest common factor of i and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -186 - -5020\/27. Which is the nearest to -0.1?  (a) 4  (b) 1  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-109)\/(-105) + 1)*35\/(-1680)*12 and -211\/2520.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56300 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + y = -0*g + 4, 0 = 5*y - 5. Calculate the common denominator of 3 + (g*(-83)\/54)\/1 and (0 - 1)*170\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 4, -7, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-2232)\/(-8184)*1705\/2232\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i + 4*i - 4*i)*(-2 + 0 + 1) + 4886 + 166*i - 4886.\nAnswer: 171*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1706 + -514. List the prime factors of l.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 4, f: 4, a: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 PM and 9:31 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -2*j**2. Let d(k) = -9*k**2 + 2*k + 8. Let b(q) = q**2 + q + 4. Let m(t) = -2*b(t) + d(t). Determine m(w(l)).\nAnswer: -44*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 + 6*l**2 - 3*l - 37. Let x be q(-5). Let n(f) = 8 + x*f - 2 + 5. What is n(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2856229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12 - 6. Let t be 0 - (-1)\/(h\/4). Let p = 110 + -110. What is the closest to p in 1, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 348.7 - 352.7. What is the second smallest value in u, -2, 1\/4, 8, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-eight thirds of a decade in months?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82 is divided by (-25 + 4)*(-3 - -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 213 (base 6) in base 7?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwmvwwwvvlwvmwww. What is prob of picking 2 m?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (104*(-93)\/(-9672))\/(-5)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = g - 8. Let b(q) = q**3 - 4*q**2 + 2*q. Let n be b(g). Let c(f) = 2*f**2 + 5*f - 1. Let z(s) = -3*s**2 - 8*s + 2. Calculate n*c(a) + 5*z(a).\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0*(-1)\/(-6)*3. Suppose y*g = -4*g + 120. Calculate the highest common factor of g and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**2 + 47*n + 212. Let w be m(-42). Suppose -14 + 24 = w*q. Which is the smallest value?  (a) 0.3  (b) q  (c) -0.09  (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d**4 - 6135*d**3 - 692655*d**2 - 20558525*d = 0 for d.\nAnswer: -1105, -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*q**2 - 2047776*q + 262086659136 = 0. What is q?\nAnswer: 255972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.49 - 3387.\nAnswer: -3387.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 134 + -132. Solve 5*m - 1 = -2*n + 3*n, 0 = 5*m + z*n + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.075, -1, 4\/3, 2\/3, 2, 0, 55?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3*z + 11 = 0, 2*d - z + 2 = -2. Let l = 53 + d. What is the third derivative of 45*k**2 + k**4 - 5*k**4 - l*k**2 wrt k?\nAnswer: -96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**4 + 7*p + 8. Let j(s) = s**4 + 3*s + 4. Suppose 0 = u - 3, 0 = -2*k - u - 5 - 6. Let c(r) = k*j(r) + 3*h(r). Differentiate c(n) wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 88094 by 2.\nAnswer: 44047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2662?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - 5\/2. Which is the closest to x?  (a) 0.2  (b) 5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iihiiihihhihihhiihhh. What is prob of sequence ihi?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the second derivative of 3*p**5\/20 - 3*p**2\/2 + p. Differentiate x(m) wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -126833202 divided by 42277734.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {q: 1, d: 2, a: 1, v: 1, l: 1, e: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2725164 and 39?\nAnswer: 2725164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 818404 is divided by 1178.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5122*q**3 - 5122*q**3 + 10243*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 6*c + 42. Suppose -5*u - 28 = -4*v, 0*u + 3*v = -3*u - 6. Let q be 18\/72 - (-1 - (-71)\/u). What is the hundreds digit of w(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -115 - 3427?\nAnswer: -3541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 109*n = 113*n - 140896, -4*j = n - 140911. List the prime factors of j.\nAnswer: 3, 11743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10422255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4989 and -82445.\nAnswer: -82444.5011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-17)\/(-255)*(-10)\/12. Put b, 2\/5, 6\/5 in descending order.\nAnswer: 6\/5, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -4*k**2 - k + 4. Let d(u) = 11*u**2 + 4*u - 13. Let b(v) = -3*d(v) - 8*p(v). Let y be b(-5). Solve 6 = -o - y*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -143 (base 6) to base 7.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) 1\/7  (c) -54  (d) 1\/3  (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 217 is divided by 135?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 28*y - 8 = 24*y, -4*y - 16 = -5*v. What is the fourth biggest value in 1, -0.101, v, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 + 25*g - 8. What is a(14)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60562 - 11597 = 5*a. Let f be 2\/((-6)\/244863*3). Let p = f - a. Round p to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x**2 + 4*x**2 - 3*x**2)*(6*x - x - 4*x) + (-3*x + 5*x - 3*x)*(3*x**2 - 3*x**2 - 4*x**2).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -139 - -110.9. Let t = -27 - i. Let v = t + -1.10000072. Round v to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3306, -3217, -3068, -2859, -2590, -2261?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - p - 4*p = 0. Factor 0 + 2\/5*c**3 + p*c**2 + 0*c - 2\/5*c**4.\nAnswer: -2*c**3*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ps when two letters picked without replacement from {p: 1, s: 4, l: 1, a: 1, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 + 4*i**2 + 3*i + 5. Let g be m(5). Let n be 112\/(-252)*-27 - 44\/1. Put 1, n, g, -2 in increasing order.\nAnswer: n, g, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i + 25 - 7. Let a = i - 3. What is the remainder when 8 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n - 15 - 41 - 7)*(-7 - 6 + 16).\nAnswer: -9*n - 189","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 995*y + 244932. Give k(-246).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 94, 186, 278, 370, 462?\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 12339734\nAnswer: -2\/6169867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5 * -358426.\nAnswer: 1792130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*a + 22*a + 30*a + 3*a + 2*a - 4*a + (3 - 1 - 4)*(-5*a + 3*a + 3*a) - 2*a + 2*a - 2*a + 17 - 17 + 9*a.\nAnswer: 46*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1587 - -7939\/5. Which is the fourth biggest value?  (a) -2  (b) k  (c) 2  (d) -20.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 6*k**2 + 2*k + 1. Let r be (-3 + 4 + -1)\/3. Let a be (-1)\/((2 + r)\/2). Let h be l(a). Solve -7 = h*u + 3*x + 5, 4*x = -2*u - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -31808*c - 286764. What is o(-9)?\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (423\/6)\/((-2)\/(-4)). Suppose 2*z = -5*o + 270, 3*o - 2*z - p = z. Let t = 78 - o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from srsrrsr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 52 + a6?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 229 divided by 229?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.74 - -0.9. Let x = -0.23 + t. Let n = x - 0.13. What is the third biggest value in n, 1\/4, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 114246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11655 + 67854 = -1194*c + 335*c - 47740 for c.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 2.31. Let v = i - 1.01. Which is the nearest to -2\/5?  (a) 4  (b) -0.2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - (2 + -12) - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 30756 divided by 166?\nAnswer: 15378\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2657079585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 - 29. Let q(l) = l - 1. Let a be q(9). What is the units digit of (-15)\/i*a*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1926.15 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a - m + 35095 = -2*a, 10 = -2*m. Suppose -l + 2817 = -2*h, 5*h = -0*l - 2*l - a. Let i = h + 2365. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/17687600 and 57\/2526800.\nAnswer: 17687600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3262746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = -i - 17, -3*i + 3*u - 24 = -0*i. Let x be 42\/i + 3 + 1. Which is the third smallest value?  (a) 0.4  (b) 1\/4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11498*l - 1 - 2133*l + 1618*l + 17 - 15.\nAnswer: -12013*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - i - 66 = 0, 2455 - 2529 = -4*y + 5*i for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 + 16*n**2 + n + 29. Let b be l(-16). Is 48 - 51 - -6*b\/1 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20373 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.24373 to 2 dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -6*g - 146. Let s be f(-26). Solve 5*b + 0*b + s = 0, 4*p + b = -14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l - 3*l + 3*l)*(17 - 12 + 11)*(-3 - 10 + 6).\nAnswer: 112*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5935195)\/(-5)*(-37)\/(-259) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1288 - 1112 + 1592 - 1515)*(-24 - 6*z + 24) to j + r*z and give r.\nAnswer: 13938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/(1925\/(-120)) + (-20)\/70\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 770 - 493. What is the closest to 1.1 in -1\/2, 3, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 599495918?\nAnswer: 2, 7, 31, 1381327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 237468 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fourty-four fifths of a minute?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes before 1:15 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 176 + 576. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*6*(-102)\/12. Suppose 4*l = 3*l - w. Let t = l - -305\/6. What is the smallest value in 1\/2, t, 2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-9))\/((-4)\/(-72)*-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1*-1)\/(3 + -2). Let h(w) = -3*w - 15*w**2 + 2*w + 0*w**2 + 2*w**2 - w**2. What is h(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7811000 rounded to the nearest one hundred thousand?\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -1. Let k(w) = -5*w**2 + w - 5. Give k(s) - 5*y(s).\nAnswer: -5*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, z: 3, q: 1, j: 7}. Give prob of picking 2 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 52158 or -504?\nAnswer: 52158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 315354004 a multiple of 1421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -336169 - -1?\nAnswer: -336168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 28554418 divided by 6?\nAnswer: 14277209\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*y = 31848 + 21906. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 31*k**2 - 10*k + 7. List the prime factors of r(18).\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2535 + 825 = 70*t. What is the greatest common factor of t and 608?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 119 and 19397?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 30452312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4442.8 - -4444. Let q = 0.33 - -0.07. Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 84*q**3 - 4*q**2 - 7*q + 4. Let b(s) = 168*s**3 - 9*s**2 - 15*s + 9. Determine 4*b(v) - 9*c(v).\nAnswer: -84*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3\/2  (b) 5598  (c) -0.62  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 259*w + 375*w - 648*w.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 474741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -g**2 - g**2 + 4*g**2 + (-4 + g + 4)*(6*g - 4*g + 4*g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*((u*u\/(u*u\/u**0*u))\/u)\/u*u*u)**(-1\/4)\/((u**7*u)\/u**(-6)) assuming u is positive.\nAnswer: u**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -43132404 + 1?\nAnswer: -43132403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y. Let x(a) = 2209853*a. Determine x(g(u)).\nAnswer: 2209853*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 51*r - 51*r - 62*r**3 + (-3*r + 3*r + 2*r**2)*(-2*r + 2*r - 2*r) + 0 + 0 + r**3 - 3*r**3 + 2*r**3 + 3*r**3 - 2*r**3 + 2*r**3 - 2*r**3.\nAnswer: -65*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 86817 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1649)\/(-291))\/((-6)\/90)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 6415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53565211?\nAnswer: 7, 929, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -14\/55 and 54\/1795.\nAnswer: 19745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -79*b + 60. Suppose 8 = -2*q, -5*g = q + 4*q + 85. Is w(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -836, -2265, -3668, -5033, -6348, -7601, -8780?\nAnswer: -9873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2849907, 2849934, 2849961, 2849988, 2850015, 2850042?\nAnswer: 2850069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 12:51 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 23 - 16 = -n - 41, -2*n - r - 18 = 0 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/14 and -101\/124.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 95778 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*x**5 - 9*x**3 + 690*x**2 wrt x.\nAnswer: 480*x**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 + 6*s**2 - 5*s + 5. Let j be v(5). Suppose 5*t + 7*u - 130 = 3*u, u - j = 0. What is the lowest common multiple of t and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 466266 and 1865064.\nAnswer: 1865064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 695 + 113 = 0. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 100222?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 91 and 1337206.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2646255 and 1810?\nAnswer: 957944310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - 15. Let m = -2 + 5. What is the units digit of a\/(-4) - m\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 0.0088\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the second derivative of j**4\/3 - 2*j. Suppose -2*v - 8 = -6*v. Let o(i) = -5*i**2 - i**v + 4*i**2. Determine o(c(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 481 is divided by 437?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*u**3 - 3*u + 3*u + (-2 + 2 - 6*u)*(-2*u + 2*u + 2*u**2) as f*u**2 + i*u**3 + w*u + v and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**3*v**3 + 28*g**3*v - 2*g**2*v**3 + g*v**2 + 4*g*v - 4*v**3 wrt g?\nAnswer: 12*g*v**3 + 168*g*v - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 PM and 10:58 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/995?  (a) 1\/5  (b) -0.2  (c) -14  (d) 6  (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - 3*l**2 - 17*l - 39. Give s(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(704) + (sqrt(704) - (sqrt(704) - (sqrt(704) + 1 + sqrt(704))*5)**2).\nAnswer: -57049 - 704*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 861401 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*n**5 - n**5 + 2*n**5 + (-n**4 + 2*n**4 - 2*n**4)*(-2*n + n + 2*n) + 0*n**3 - n**5 + 0*n**3 - 266*n**5 + 502*n**5 - 271*n**5.\nAnswer: -42*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 84\/11 - 208\/33. Which is the third biggest value?  (a) k  (b) -1\/9  (c) 0.08  (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/3 + 3)\/((-998)\/(-1497)). Let v(b) be the first derivative of 1\/3*b**o + 0*b**2 + 0*b - 32. Let x(z) = -40*z**2. Give x(v(n)).\nAnswer: -40*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 3*y + 2*y + 66, y - 40 = -3*v. Suppose -5 + v = 3*c. Solve c*p + 6 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 AM and 9:30 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1872\/63 + 4 + -34.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 6:41 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -15 - 4*s**2 - 17*s + 2 + 5*s**2 + 4*s - 13. What is the hundreds digit of b(35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -8, -13, 5 in decreasing order.\nAnswer: 5, -3, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -543, -542, -541, -540, -539?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -578 + 583. Let d(r) be the first derivative of 0*r + 3\/5*r**c + 8 + 0*r**3 + 0*r**4 + 4*r**2. Find the second derivative of d(f) wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 6, 3, -2, -9, -18, -29?\n\"Answer: -s**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1008402 * -4.\nAnswer: -0.4033608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1365594 to the power of 1\/2, to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3337 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*b**3\/5 - 745*b**2 - 7238*b\/5 + 536\/5.\nAnswer: (b - 268)*(b + 2)*(14*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 5*u**2 - 8*u - 12. Let z be w(-4). Suppose 9*k = t + 4*k - 52, -z*t + 4*k = -160. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q + 9\/4*q**4 - 3\/8*q**5 - 27\/8*q**3 + 0 + 0*q**2 = 0. What is q?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/4021 + 197023\/12063. Suppose -4*l + 744 = -3*l. Find the common denominator of v and (-14)\/63 - l\/(-189).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2017378229 to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 21*j**2 + 7*j - 27. What is the remainder when i(5) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 3*u = 2*u - 30, -4*p + u - 25 = 0. Is -6 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 150667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -276, -1126, -2544, -4530?\nAnswer: -7084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 5*p - 6 = 0, -5*i + 0*i + 18 = -p. Suppose -4246 + 34 = -3*r - l, -7034 = -5*r + i*l. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -4\/37  (c) -0.094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-145)\/(-2*(-1)\/(-2)). Let j = 185 + -127. What is the highest common factor of j and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6987270679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -659*r**3 - 213*r**3 - 274*r**3 + 212*r**3.\nAnswer: -934*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -5*w - 2. What is the second biggest value in -0.09, w, -2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 1128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/6579899 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 140473937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 187384 and 1003.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 68, 194, 430, 812?\nAnswer: 1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5, -12, -43, -94, -171?\n\"Answer: -v**3 - v**2 - 7*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 12:17 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 4*y + 12. What is the units digit of (y\/4)\/((-4)\/648)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 - 10*r - 16. Suppose s + 48 = 5*s. Let u be 3\/s + 94\/8. What are the prime factors of m(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 0*(-13)\/(-65) + (301 - -1)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 7*m. Let x(o) = -290*o. Determine v(x(r)).\nAnswer: -2030*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 41 = -5*a + 4*b, -4*a + 5*b + 16 = 0. Let q(f) = f + 0*f**2 - f**2 - 7*f - 1. Let z be q(-5). Solve -5*u = -z*p + 13, -5*p - u + 0*u = -a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 268 - -1?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5754578?\nAnswer: 2, 1087, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u = 2*k - 2, u - 7 = 4*u - k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7 + 6.86. Let k = -1.14 - g. Let y = k - -0.99999992. Round y to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 4, 131, -3 in ascending order.\nAnswer: -3, -0.4, 4, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2*x**2. Let w(c) = -13*c**2 + c - 6. Calculate w(k(y)).\nAnswer: -52*y**4 - 2*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6891 at most as big as 3\/4885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttrvtrtrvrtttrttrttr. What is prob of sequence rrt?\nAnswer: 77\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 5*((2*sqrt(18)\/sqrt(6))**2 - -4*(2 + sqrt(3))).\nAnswer: 20*sqrt(3) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/438892 and -15\/34804.\nAnswer: 33794684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eleven halves of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61 - 26 + 14*w - 32.\nAnswer: 14*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p\/(p*p**(-1\/3))*p))**(-28)\/(p**(-1\/2)*(p*p**(-14))\/p*p) assuming p is positive.\nAnswer: p**(305\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/6906 and -9\/6100300.\nAnswer: 18300900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*6\/12*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/30 and 43\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1267992468 to the power of 1\/4, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2442791, -0.1, -13, 4\/3?\nAnswer: 2442791","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46 - -73. Let i = 27.19 - o. Let q = -0.19000011 + i. Round q to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -0*r - 3. Let x(m) = -m + 2. Determine x(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3471599176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - 2. Let c(q) = q**2 + 13*q + 10. Let n be c(t). Let d = -3 - n. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the second derivative of 0 + 7\/2*n**2 - n - 1\/6*n**3. Suppose -12*g - 655 = -691. Give c(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 38291617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 846658 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -944380*w**3 + 2*w**2 - w - 13227?\nAnswer: -5666280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 36888700 to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 66, 294, 736, 1398, 2286, 3406, 4764?\n\"Answer: f**3 + 101*f**2 - 82*f + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -65.49 - -66. Let c = -0.07 + z. Let w = -7.84 + c. What is w rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 199 (base 13) in base 9?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -411*d*n**3*s**2*z + 100*d*n**2*s**2*z - 6*d*n*s - 154*n**3*s**2*z + 3*n**2*s - 7*n**2*z wrt n?\nAnswer: -2466*d*s**2*z - 924*s**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6.9 + -2.9. Let u = 427\/695 - 2\/139. What is the closest to u in b, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5215666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3769001 times 0.16\nAnswer: -603040.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/3, 0.4, -764.4, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.9 + -4.9. What is the third smallest value in -5, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 844195 to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 300 and 27?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 + 9*g**2 + 63*g + 3. Let j be k(-5). Solve 12*z - j = -26*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 - 6*o**2 + 11*o + 13. Let i be r(-6). Let v = -43 - i. Let y = v - -8. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/5?  (a) -91  (b) -2\/15  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/104 and 53\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**4 - 244*n**3 + 6710*n**2 - 5028*n - 38880 = 0 for n.\nAnswer: -2, 3, 40, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 10850 and 4725.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-2\/47)*z\/(z*(z\/z**(-2))\/z)*(z*z**(1\/6))**(-4\/11) assuming z is positive.\nAnswer: z**(-3826\/1551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230 + 145 = -5*n, 4*c + 6*n = 2*n - 0*n + 3*n + 29 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 2*j - 4 + 3 = 0, m - 16 = -5*j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 4, 1\/5, -0.079, 391 in descending order.\nAnswer: 391, 4, 1\/5, -0.079, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 90264239 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-201*p**2 + 157*p**2 - 71*p**2)*(-4*p + 0*p + p).\nAnswer: 345*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((-1 + sqrt(567) + 1 - sqrt(567) - sqrt(567)) + 1 + 4 + 1*-2*sqrt(567) + 1*sqrt(567) + 0 + sqrt(567) + sqrt(567))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1897 + 5912. Suppose -5*r = -5*i - x, -87*r + i = -84*r - 2405. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/5, 2\/11, -29\/2, -539?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + -9. Let l be 0 - n - (5 + -7). Let i(y) = -3*y**3 - y**2 + 2*y - 1. Determine i(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -1801*d + 285. Give b(0).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/6 and -34\/1333?\nAnswer: 7998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/22008 and -67\/4716.\nAnswer: 66024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -4*c**3 + 4*c + 1 + 5*c**3 + 2 - 6*c**2. Let a(g) = 1 - 4*g + 18*g**2 - g**3 - 12*g**2 - 5. Let w(d) = 4*a(d) + 3*f(d). Determine w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*h**4 + 14329*h**2 - 14330*h**2 + 4*h + 16*h**4 as x*h**3 + l*h**4 + s + g*h + f*h**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 782 = 4*q + 818. Calculate the common denominator of -97\/40 and (q + 2012\/160)\/((-6)\/4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-69)\/(-161) - (-1320)\/(-385)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.09023 and 13919750.\nAnswer: 13919749.90977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 8.51\nAnswer: -0.851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is f3 + -1eb?\nAnswer: -f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 366*f**2 + 14*f**3 - 25*f**3 + 50*f**3 + 151*f**3 wrt f.\nAnswer: 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*h, -3*n - 6*h = -2*h - 206. Suppose -f = -n + 59. Calculate the least common multiple of f and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1881.6256 rounded to the nearest ten?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 465*t + 63 = 486*t. Let k(c) be the second derivative of -c**t + 0*c**4 - 2*c**2 + 22*c + 1\/10*c**5 + 0. Solve k(w) = 0 for w.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of -r**6\/2 + 3*r**5\/4 + 21*r**4\/16 - r**3\/2 + 2. Determine x, given that t(x) = 0.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*c - 1131 + 714 + 687 = 0 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -3*y + 6171, 3*x - x = -2*y - 4106. List the prime factors of (9\/(-45))\/(3\/x).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3575 + -53693\/15. Find the common denominator of x and 378\/(-1134)*73\/7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48057 is divided by 12011?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - 6\/(-4)) + -1. Let s = 0.573 - 0.673. What is the closest to s in y, 7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14340 by 239.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) -218  (b) -58  (c) -0.2  (d) -1  (e) 4  (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*i - i - 3*i + (-i + 4*i - 2*i)*(6 - 4 - 3) + 2*i + 0*i - 3*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 185114, 185117, 185120, 185123, 185126?\n\"Answer: 3*d + 185111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4, 14, 24?\n\"Answer: 10*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 130112023003 + 0?\nAnswer: 130112023003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**3 - w**4 + 3*w**3)*(3 - 2 + 0) + 3*w**4 + 11099*w**2 - 22199*w**2 - 3041 + 259 + 11101*w**2.\nAnswer: 2*w**4 + w**2 - 2782","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 3*p)*(-6 + 2 + 3) + 2*p - p + 3*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.072 + 528792556\nAnswer: 528792555.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 46487947733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 325, 0.2, -2\/345 in decreasing order.\nAnswer: 325, 0.2, -2\/345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 400 = -6*t + 977, 2*t = -3*w + 823. Calculate the highest common factor of 1053 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -262 + 627. Let u be s\/50*1*-773. Let b = 5633 + u. Calculate the common denominator of b and 113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15445252 is divided by 4732.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 5:26 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 8) to base 15.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 330 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -6*u**3 - 46*u**2 - u - 89. List the prime factors of i(-15).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-84*z**2 - 76*z**2 + 120*z**2)*(-3*z**2 + 2*z**2 - z**2) - z**4 - z**4 + 4*z**4.\nAnswer: 82*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1830 divided by 305?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -2\/13, 2\/266049, -1.2, -3, 4\/3, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of 1\/2*h**2 + 3 - h - 1\/3*h**3. Determine j(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/13139 or -1?\nAnswer: 2\/13139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 165235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.6 - -2111319.\nAnswer: 2111319.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -693*t - 14 = -k - 697*t, 4*k + 3*t - 17 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m + 3. Let t(c) = -1. Let a(v) = n(v) - 6*t(v). Let i be a(-7). Solve 0 = 5*h, 3*h + i*h - 15 = 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6066*i**3 + 18322*i**3 - 6065*i**3 - 6193*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -7*c + 356. Let r be p(52). What is the fourth smallest value in r, 4, -5, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:22 PM and 2:22 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5\/19 - 68\/475. Let y = x - 8\/25. Sort -3, y, -0.3, -5\/4 in descending order.\nAnswer: y, -0.3, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/14092500 and 59\/18750?\nAnswer: 70462500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.4166 - -2.5834. Put -5, j, 0.1, 0.3, -0.2 in ascending order.\nAnswer: -5, -0.2, 0.1, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-42))\/1 - 1856704\/60032?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 12, -13, -44, -81, -124?\n\"Answer: -3*t**2 - 16*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 5*j**2 + 136136200*j + 926653247522000 = 0.\nAnswer: -13613620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 467, 931, 1369, 1769, 2119?\n\"Answer: -2*g**3 - g**2 + 481*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 3 + 1 + -4 + -1 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 3, 5, 0 in descending order.\nAnswer: 5, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29\/135 + 5\/27. Let a be 4\/4*-2*1. Let o be a\/10 - 0\/(-18). What is the closest to k in 5, -1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/5  (b) 0  (c) 61297137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8188597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*c - 12*c + 8*c + 119 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 3*o - 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 21758  (b) -3\/4  (c) -1  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 261\/(-7308)*3150\/135.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 185a51 (base 11) to base 3.\nAnswer: 112112110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.9, 1, -0.5, -0.1, 0, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 185022*q + 499148 wrt q?\nAnswer: 185022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.47*-3746.\nAnswer: -1760.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 5*w, 11 - 16 = -4*n + w. What is n rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 2 = -482*p + 480*p, p = -c - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25)\/4050*4)\/(2\/6)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -13*a + 9. Let f(l) = 20*l - 13. Let n(u) = -5*f(u) - 8*p(u). Let w be n(10). Let t = w - 1. What is the greatest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 10*a**3 + 71*a**2 + 24*a + 5. Let g be f(-6). Solve 284*t = g*t + 108 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11439 and 1019178?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*f**3 - 2*f**3 - 26*f**3 + (-2*f**2 + 6*f**2 - 3*f**2)*(-4*f + f + 7*f) - f**2 + f**2 - 2*f**3 in the form u + m*f + x*f**2 + v*f**3 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 238226\/102319 + (-16)\/7.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -55\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-72)\/342 - (-21 + (-42060)\/(-570)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 68806, 72632, 76458, 80284?\n\"Answer: 3826*g + 64980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -4*j - 26, -4*m - 2*j = -7*j. Put m, -4, -8 in ascending order.\nAnswer: -8, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v*v*v*v**(-2\/13)*v)\/(v*v**6))**42\/(((v\/(v*v\/(v*v**(2\/5))))\/v)**(-3\/8)\/(v*((v\/v**(-2\/3))\/v)\/v*v)**14) assuming v is positive.\nAnswer: v**(-105071\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45361\/60 + -756. Let t(o) be the second derivative of 0*o**5 + 0*o**2 - w*o**6 - 3*o + 0*o**3 + 1\/24*o**4 + 0. Factor t(c).\nAnswer: -c**2*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1004 - -1000. What is the biggest value in j, -11\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/7 at most 13373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 9, -4\/7, -2.8, -58?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -547*m + 103031. Calculate r(188).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, 1, 3 in decreasing order.\nAnswer: 3, 1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/4 and 133\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/5  (b) -0.2  (c) 27.73  (d) 0.4  (e) -3\/89\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((-63)\/(-10))*18\/30.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.55  (b) 0.04  (c) -3  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1020930072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/((-54)\/(-99)) - (-1 - 0 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of -j**4\/12 + j**3 - j**2\/2 - j. Let h be k(5). Let x be 0*3\/(-6)*(11 - 9). Solve y = -x - h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 55*t. Suppose 3*v + 5*k = -v + 41, 2*v - k = 17. Let m(u) = -u - 4 + 2*u + v - 4*u. Let x(y) = y - 2. Let p(f) = 2*m(f) + 5*x(f). Give p(j(b)).\nAnswer: -55*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 AM and 3:39 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 204 - 632. Let r = 536 + c. Calculate the greatest common factor of 12 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16218, 32426, 48628, 64824, 81014, 97198, 113376?\nAnswer: 129548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 6:51 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 248509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.9468 - -0.0532. Let y = -0.08 - 3.92. Let u = y + 0. What is the nearest to u in -5, q, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7879*b**4 + 4233 wrt b.\nAnswer: 31516*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + 5be3f3?\nAnswer: 5be3ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -171  (b) 21\/2  (c) 3\/8  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - 84\/(-171)) + (11 - 11). Let p = i + 16\/19. What is the second biggest value in -14, 1\/8, -0.4, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29256 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1991012 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 8*r**2 - 4*r - 3*r - 5*r**2 + 3*r**2 + 7. What is w(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24089657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 186319424?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, i: 6, w: 7}. What is prob of picking 1 w, 2 i, and 1 f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o - 4*o**2 - o + 3*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -92, -4, 133.\nAnswer: -92, -4, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-183)*1\/1. Let y = 137\/915 + n. Sort 0, y, 0.1 in descending order.\nAnswer: y, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2257711768 a multiple of 9347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (98\/343)\/(2\/28). What is the units digit of 1*x*62\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 6, y: 1, h: 2, d: 1, w: 3}. What is prob of sequence hyw?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {c: 2, n: 9, t: 2}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (153*b**3 - b**3 + 814*b**3)*(-6 + b + 6)*(3*b + 2 - 2).\nAnswer: 2898*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 69654 and 23936865?\nAnswer: 2679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express ((0 + 2*c + 0)*(3 - c - 3) + c**2 + 0*c**2 - 3*c**2 + c**2 - 3 + 3)*(-2 - 4 + 0)*(-5*c - 2*c + 4*c) in the form g + w*c**3 + v*c + d*c**2 and give w.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - (-10675)\/1845) + -3. Let w = -14\/41 + p. What is the smallest value in 0.1, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507950824.\nAnswer: 2, 59, 1076167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -111*p**2 + 3416*p + 762. Give v(31).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - 188. Let w = -1771\/9 - n. Sort 1\/2, -0.5, w, -3.\nAnswer: -3, -0.5, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 13*k + 4. Let c(h) = -2*h - 1. Give 2*c(z) + g(z).\nAnswer: 9*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 4. Find the first derivative of -1 - 3*p**4 - 5*p**3 + x*p**3 + 3 wrt p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119562 take away -4674573?\nAnswer: 4794135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aakalhhhsla. What is prob of sequence ll?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j - 4. Suppose -w + 3*k - 69 = -6*w, w - 9 = k. Is 3 a factor of u(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g**2 + 6*g + 2. Let t = 0 - 45. Let w be 15*(-3)\/t*5. Suppose 0 = w*u + u + 6. Let n(i) = i. What is u*r(h) + 6*n(h)?\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*l + 21 = -15. Suppose 0*z + 10 = 4*z - 2*a, 2*z + 5*a - 23 = 0. Suppose -l*g - 42 = -3*q, -z*g = -5*q + 11 + 51. Solve -2*i - 3*i = q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 92 - (-3102)\/(-376) - (-11)\/(-4).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 1 - 0) + (-132 - -60 - -20)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/9)\/(2 - 186\/90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 572801807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16907 and 4664.\nAnswer: 135256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 6*t. Suppose t = -z + 3. What is the greatest common factor of z and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2460, -2664, -3006, -3486, -4104?\nAnswer: -4860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 640 and 64.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 12:53 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + g**2 + 6. Let q be s(0). Suppose 51 = 3*b + q. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/4*(-4)\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 694964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 928 and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 AM and 2:51 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {v: 1, p: 1, f: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5*i + 23. Let x be n(-4). Suppose -x*m - 4*o = 2*m - 102, -3*o = 6. Calculate the highest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 11*q**3 + 4*q**2 - 6*q - 8. What is i(3)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 16 = 2*b, 0 = 5*w + 5*b - 2*b - 32. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 + 9*y**2 - 9*y + 5. Let w be a(8). What are the prime factors of 70 + -2 + 6 + w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 10:07 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 130, -4, 5, -5 in decreasing order.\nAnswer: 130, 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 302889353.\nAnswer: 13, 23299181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -38.4 - -38. Let c = 110\/3 - 37. Let u = 3 - 0. What is the second biggest value in c, u, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*a = 14*a - 3. What is the remainder when a*22 - (-1 - -5) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, t: 2}. What is prob of picking 2 p and 1 t?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1017*v = -1015*v - 780. What is the smallest common multiple of v and 150?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100111 (base 2) to base 3.\nAnswer: -10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1231895923.0000558 - 1231896031. Let f = i - -108. What is f rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -21*s**3 - 51*s + 7\/5*s**5 + 0*s**4 + 5\/42*s**7 + 0*s**6 - 3 + 0*s**2. What is the second derivative of m(k) wrt k?\nAnswer: 100*k**3 + 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 40 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 36 + -33. Let a be -2 - j\/((-15)\/(-6230)). Is (-2)\/2 + a\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 9 = 3*l, -193*l = -194*l + 2*m + 10. Factor -9\/2*n**2 - 9\/2*n + 0 + 1\/2*n**l + 1\/2*n**3.\nAnswer: n*(n - 3)*(n + 1)*(n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1687500*l**3 - 33750*l**2 - 225*l - 1\/2 = 0.\nAnswer: -1\/150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 37*n + 97. Calculate the remainder when 317 is divided by g(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1000210 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -90, -295, -662, -1215, -1978, -2975, -4230, -5767?\n\"Answer: -4*x**3 - 57*x**2 - 6*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1232 and 220.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 21946569727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-3) - (-9)\/27*15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1236 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 13 = z - 0*z, -4*z = -3*b + 46. Let w(x) = -x**2 + 17*x + 4. Let c be w(b). Calculate the greatest common factor of c and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of 7*c**6\/240 - 11*c**5\/120 + c**4\/48 + c**3\/4 + c**2. Factor x(o).\nAnswer: (o - 1)**2*(7*o + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 0 - (6 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -38484 and -0.448?\nAnswer: 38483.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -18, -23, -42, -81?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gaq when three letters picked without replacement from {h: 3, g: 5, q: 3, a: 9}.\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-3) - (-25)\/(-3915)*-51. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2084 + -2089. What is the smallest value in 3, v, -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 5*f - 32 - 59, 4*x - 99 = -3*f. What is the second derivative of 42*w**4 - x*w**4 - 31*w - 22*w**4 wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21.027 - 0.027. Let n = p - 36. Let i = n + 15.044. What is i rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + (-5)\/(20\/(-24)). Suppose 0 = -5*z - 5*n + w, 0*z - 1 = 3*z - n. Suppose q + 47 - 60 = z. Solve -2*a + 5*g = q - 3, 0 = -a - 4*g + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 + 111\/4. Let l = 12 - 11. What is the closest to l in v, 0, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 154*s = -799 - 682 - 59. Put -3, 2, s, 1, -1 in increasing order.\nAnswer: s, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 11:59 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 110560, 221100, 331640, 442180, 552720, 663260?\n\"Answer: 110540*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qsqs. Give prob of sequence qs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5790384606 and 10.\nAnswer: 5790384616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 144 + 26 + -75 - (1 + -1 + 9 + -4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*k = -166*k + 657 + 925 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1145 and 85.\nAnswer: 19465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*l - 121 = 0, -5*y - 4*l - 327 + 59 = 0. Let k be (-3 + (-33)\/(-9))\/(y\/36). What is the smallest value in 1, k, 2\/17, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -6\/223, 3\/44282 in descending order.\nAnswer: 3\/44282, -6\/223, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 7\/7*2*(-2)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 9*t + 27. Let j(x) = -4*x - 14. Let a(o) = 7*j(o) + 3*r(o). Let v be a(-10). Is (0\/1 + -3)*v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**(-3\/11)\/x))**(-37\/5) assuming x is positive.\nAnswer: x**(-185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 705 = 6*f. Let d = f + -90. Let l = d - 31. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 288 - 284. Suppose 0 = 5*h - p*o - 3068, 5*h - 2190 - 902 = -4*o. What are the prime factors of h?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + -1. Which is the second biggest value?  (a) 0.2  (b) j  (c) -3  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-82)\/(-4))\/41)\/(((-84)\/(-40))\/(-21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -v**3\/3 - 7*v**2\/2 + 2*v + 26. Let p be z(-7). Is (-11 + 3)*-2*p*3 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132*a - 2487 - 2689 = 42*a - 946 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3665 + 3669. Suppose 8 = -2*i, 0 = 4*m - 2*i + 3*i. Let l be (m - 1) + 0\/(-2). Solve -6 = 2*x - 5*x, l = -4*t + 4*x - u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -279441\nAnswer: 2\/279441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + -1 - 0) + (39 - 28). Suppose -p = -z*p. Suppose -q = -3*u - 1, -1 = -5*u - q - p. Which is the smallest value?  (a) u  (b) -1  (c) -0.4  (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - -7)\/((-2)\/(-32)). Suppose a - 14 = 4*l - 120, 4*l = -2*a + n. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, m: 12, j: 3, o: 4}. What is prob of picking 1 o, 2 j, and 1 k?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 467 a factor of 85622115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-288)\/112*(-56)\/6. Calculate the greatest common factor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 588\/(-5292)*8\/(32\/78).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u. Let v(o) = 3*o**3 + 14*o**2 + 6*o + 4. Let r be v(-4). Let y(f) = r*f - 29*f - 4*f. Give w(y(j)).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/7 + 2930\/35. Suppose -3*n - k - 76 = 0, -3*n - 2*k = -5*k + b. Let a = 45 - n. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -4*k, 10*h + 4*k = 9*h - k + 45 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**5 + 4*h**4 + 6*h**3 - 8*h**2 - 8*h.\nAnswer: -2*h*(h - 2)**2*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/((-1)\/4*-2). Let s(f) = f + 2. Let r be s(y). Suppose 2*h - 6 = r. Calculate the highest common divisor of 48 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*w = 25*w + 16. What is the smallest value in 2\/9, -2\/9, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/1936 and 133\/2640.\nAnswer: 29040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(126)\/(sqrt(21)\/sqrt(3)))\/(-1*sqrt(6)*-2 + sqrt(6)))**2 + (-5*((sqrt(147)*-2 - sqrt(147))**2 - sqrt(147)) - sqrt(147)) + 1)*1.\nAnswer: -19841\/3 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i + 2*i + 2*b = 12, 2*i + 3*b + 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.08 in 5, 5.4, -1\/10, -2\/17, 53?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 9 = 0, 0*t + 3*t + q = 0. Let c(s) = 71*s**2 - 4*s + 3. What is the remainder when c(t) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6 + m + 6 + (0 - 1 - 1)*(-2*m + m - m) - 10 + 10 + 5*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -265510, 16, -64 in decreasing order.\nAnswer: 16, -64, -265510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, 2, 70 in decreasing order.\nAnswer: 70, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 11*i + 102. Let o be r(-9). Suppose 2*z + o*w + 55 = 3*z, 3*z + 2*w = 121. Suppose 2*d = d + 387. Calculate the highest common factor of d and z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 729*v = 721*v + 32. Factor 8\/15*r - 8\/3*r**2 + 0 + 26\/15*r**3 + 6\/5*r**5 + 4*r**v.\nAnswer: 2*r*(r + 2)**2*(3*r - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6213615 divided by 1.\nAnswer: 6213615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -29*s + 1107. Let r(l) = -10*l + 387. Determine 6*d(f) - 17*r(f).\nAnswer: -4*f + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -4 + (1 - (-5 - 2)). Let t be (m\/(-36))\/((-1)\/6). What is the nearest to t in 0.2, 2\/5, -0.14, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/20*(1 + -16). Let t be m\/15 - (-4 + 5). Let i = -3.2 + 3. What is the closest to i in -2\/5, -3\/7, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 98463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 38 - 3. Let z = i + 18. Let g = 25 + z. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -3*f**2 + f - 4. Let u be (-6)\/(-8)*(-32)\/(-24). Let c(b) = -b**2 + b - 1. Give u*k(g) - c(g).\nAnswer: -2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*u**5 + 380*u**4 + 11364*u**3 + 108292*u**2 + 183992*u + 86688 = 0. Calculate u.\nAnswer: -43, -36, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0706 + 1.0706. Suppose -4*x - 8 = -0*x. Which is the fourth smallest value?  (a) -0.1  (b) -7  (c) h  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 6*a**2 + 2*a + 1. Let v be u(-1). Let x = -7 + v. Does 5 divide 4\/(-6)*33\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 602765157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3*x - 2 = 6, 5*h + 5*x = 40. Calculate the smallest common multiple of 44 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(700) + -3)*-6.\nAnswer: -60*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4744 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3403 - -3406. Which is the second smallest value?  (a) -3  (b) 7\/72  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 PM and 8:43 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 568801, 568660, 568425, 568096, 567673?\n\"Answer: -47*y**2 + 568848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -105bb (base 15) in base 5?\nAnswer: -3130201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(2*2*sqrt(108) + -1) + (5*sqrt(108)*-1 + sqrt(108) + sqrt(108) + 1 + -2)*-2)*2)**2*-3.\nAnswer: -627312 + 6336*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1567320 or 1567323?\nAnswer: 1567320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 - 28*i - 31. Let t be s(29). Which is the closest to 0.4?  (a) -0.2  (b) t  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2070960 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174*s + 14617 = 42*s - 116*s - 63*s for s.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 224 and 1201879.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -11*c**6 - 2367*c**4 - 3*c**2 + 3728 wrt c?\nAnswer: -1320*c**3 - 56808*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -781 = -40*i + 29*i. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4703?\nAnswer: 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/7*(0 + -4). Let x = -0.3 + 0.3. Let h = 8 - 9. What is the closest to x in h, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -2634?\nAnswer: -2634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 11:06 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**0*n)**(-22))**(-4\/11)\/(n\/n**(-3\/4)*n\/(n*n*n**(2\/3)))**(-8) assuming n is positive.\nAnswer: n**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of -l**5\/20 + 2*l**4\/3 - 2*l**3\/3 + 13*l**2\/2 + 18*l - 2. Calculate the least common multiple of 14 and n(7).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1625\/(-19500)*(-3)\/(-2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/((-25)\/1))\/((-27)\/(-54)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from 11238.\nAnswer: 11238.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 33134707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.01 and 215.97.\nAnswer: 2.1597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-2)\/(-20))\/(27\/(-45)))\/(10\/9)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1628\/(-220)*25*-3*(-12)\/(-90)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -327 (base 12) to base 14.\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 73125 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 3*b - 4. Let j be v(3). Let y(l) = l**3 - 7*l**2 - 6*l - 11. Let d be y(8). Find the second derivative of -f - 6*f - j*f**d + 4*f wrt f.\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1437890919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - g + 8 = 2*k, 5*k = g + 17. Suppose 2*u - k*u + 2*n = -5, 0 = -n. Solve 0 = -2*q - 3*q - u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -9, -40 in decreasing order.\nAnswer: 2, -9, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2081, -2086, -2091, -2096, -2101, -2106?\n\"Answer: -5*q - 2076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1058.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.14, -5, -3, -38.99?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 699978 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 - 122259727?\nAnswer: -122259727.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2, 26, 94, 220, 422, 718?\n\"Answer: 3*w**3 + 2*w**2 + w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o - 27 = -4*a, 0 = 2*o + 6 - 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 218223424 and 4352.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 73673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 37.9 + -38. Let b(x) = 3*x + 6. Let j be b(-4). Let m be 10\/3*j\/(-5). What is the biggest value in 0.1, m, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 35 - -329?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 184 + -183.08. Let i = d - 1.92. Sort i, 4, 1\/2 in descending order.\nAnswer: 4, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1210 (base 10) in base 2?\nAnswer: 10010111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.13 + 5.13. Suppose -4*v - 44 + 12 = 0. Let o be (-2)\/v + (-63)\/(-180). What is the third smallest value in t, o, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 104792*m - 104792*m + 628 + 6*m**3 to the form r*m**3 + l*m + u*m**2 + t and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20886*p**2*y - 17090*p*y wrt p.\nAnswer: 41772*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -9789959.2 to the nearest 10000.\nAnswer: -9790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -1\/4*w**2 - 100 - 10*w = 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6394\/(-671) - (480\/440)\/(-2)) + 9?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (31\/(-8) - -5)\/(4\/32).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-6)*(41 - 40)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxhhhhhxxhhhhhhhhhh. What is prob of sequence xhhh?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 3*v + 214. Let r be j(0). Suppose -5*n + 675 = -4*p, -5*n + p + 715 = 5*p. Let g = r - n. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.07 * -0.45\nAnswer: 0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 2:20 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + -1022200201111?\nAnswer: -1022200201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.675087 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 13 + -3 + -47 + (10 - -2)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 - 19*o**3 + 64 - 34.\nAnswer: -19*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 3, i: 2}. What is prob of sequence ii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1021 (base 4) in base 15?\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37958364, -151833455, -341625276, -607333827, -948959108, -1366501119?\nAnswer: -1859959860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 487733506 + 2*b - 487733506 - 7*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 41 + 51 - 96 - 122*y - 2*y**3 - 2*y**3 in the form v*y + q + m*y**3 + o*y**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 2*g - 14 - 10, d = 5*g + 16. Let z be (0 - -4) + -3 - d. Solve v = -z - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -6*m - 40. What is o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s - 6. Let a be 0 + (5\/5)\/((-2)\/8). Let c(o) = o - 5. Determine a*c(k) + 3*n(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 49.77 + -1902042\nAnswer: -1901992.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, v: 4, l: 6, d: 1, k: 1, y: 3}. Give prob of picking 1 k and 1 y.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/((-126)\/544) - 33\/(11880\/80)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 137 - 94. Calculate the highest common factor of c and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2335*t**4 - 2*t**3 - 234*t**2 - 100009405 wrt t.\nAnswer: 9340*t**3 - 6*t**2 - 468*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*o**3 + 17935*o**2 - 1008140*o + 134100 = 0.\nAnswer: 2\/15, 90, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/180)\/(15\/(-150)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53, -17, 19, 55, 91, 127?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/5?  (a) -5  (b) 0.1  (c) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/2 + 90\/4. Let r(w) = 4*w**2 + 5*w + 2. Let z be r(6). Calculate the highest common divisor of z and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 4*c**2 - 309*c + 423 + 346*c - 18*c**2 - 87 - c**3. Determine h(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3*a**3 - 207*a**2 - 264*a + 18217. Determine t(69).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 14799228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:43 PM and 11:49 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 243 and 3213?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*g - 363 + 568 = -764 for g.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 62963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -3. Suppose c = y + 6*d - 3*d + 8, 9 = -3*d. Sort 0.4, 5\/2, y.\nAnswer: 0.4, y, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 68 - 21. Let y = -44 + l. Solve -t + 2*t = -y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -358*o - 67 = 3*m - 345*o, -2*m - 3*m - 3*o = 37 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -3\/208868719 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 14175413753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -5*g + 5. Let y be w(-4). Let x be (y\/4)\/(22\/(-88)). Calculate the smallest common multiple of 28\/5 + (-10)\/x and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-6)*(y\/(y\/(y\/((y**(1\/13)\/y)\/y))))\/y*(y**(2\/11)*y)**(-26) assuming y is positive.\nAnswer: y**(-4977\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 24\/(-45) + (-70)\/(-21) + -4. Let p = -19\/2 - -35\/4. Which is the second biggest value?  (a) j  (b) 5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -97*c**4 - 11*c**2 + 11*c - 95. Let a(p) = 48*p**4 + 6*p**2 - 6*p + 48. Let u(f) = 11*a(f) + 6*i(f). Differentiate u(q) with respect to q.\nAnswer: -216*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqwqwqqqwwwq. What is prob of picking 4 q?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4223)\/(4 - (-27)\/(-6))?\nAnswer: 2, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.6 * -3250.\nAnswer: -14950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + k = 18, -5*x + 10*x + 125 - 54 = 4*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that o**4 - 8607*o**3 + 25814*o**2 - 17208*o = 0.\nAnswer: 0, 1, 2, 8604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -309  (b) 0.1  (c) 0.5  (d) -82\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 97 a factor of 13138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -4*r**3 - 73*r**2 + 64*r + 152. Give p(-19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 5, o: 8}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*l**3 - l - 69 wrt l?\nAnswer: -6*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4011 (base 9) to base 12.\nAnswer: 183a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 22, 17\/3, 18\/11?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2053.1 - -1936. Let w = 117.07553 + b. What is w rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, a: 1, g: 6, p: 1}. Give prob of picking 1 a and 1 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1398 - -74092\/53. Let x(o) = 13*o**2 + 3*o - 4. Let n be x(1). Suppose 3*y + n = 15*y. Is f smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 13129264 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.462 + -0.062. Let d = -1 - -3. What is the closest to d in -5, -2\/17, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2*w**2 - 14*w + 3. Let k be g(11). Calculate the highest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -7408, -7563, -7718, -7873, -8028, -8183?\n\"Answer: -155*s - 7253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20727487.\nAnswer: 11, 829, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 15*a**2 - 579*a - 15. Let b be l(40). Is b at least as big as 824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -15\/28, -0.2, -4.5, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121890 is divided by 121877?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 202, 834 in decreasing order.\nAnswer: 834, 202, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 11*y**2 - 27. What is z(11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45 + 26*s + 45)*(-3 + 3 - 1)*(-1 + 1 - 2)*(0 - 4 + 6).\nAnswer: 104*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-8 - -6) + -3 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 186149.61 months?\nAnswer: 155.124675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*x**2 - 11144*x**3 + 3717*x**3 - 7*x**2 + 3717*x**3 + 3713*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -4 - (0 - -51) - (160 - (91 + 63))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from yyynynyynnyyynnyyny?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -8*o + 5*o. Suppose -5*t = -f - 3*f - 242, 0 = -4*t + 2*f + 190. Suppose o*v - 8 = -4*m, 5*m = 4*v - 9 + t. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**4*i)\/i)\/i**(-5))**43 assuming i is positive.\nAnswer: i**387","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 973829248 and 672?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (15 + (-32250)\/2160)\/(3\/24)\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jue when three letters picked without replacement from {e: 1, a: 2, l: 2, j: 1, u: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/8 and ((-177)\/(-552))\/((-167)\/18 - (-2)\/(-9))?\nAnswer: 3496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 0 + 4 + (-21 - -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*h + 2*h + 3*h)*(-501*h**3 + 501*h**3 - 12*h**4 + (-1 + 2*h**2 + 1)*(-2*h**2 + 3 - 3)).\nAnswer: -32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*o**3 + 9 - 9*o - 31 + 12 + 10 to the form w*o**3 + n*o + f + l*o**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -5*w**3 + 4*w**2 - 6*w - 11. Let f(b) = 6*b**3 - 3*b**2 + 7*b + 10. Let c(q) = 4*f(q) + 5*n(q). What is the remainder when c(7) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - y = -q + 56, q = -2*y + 31. What is the greatest common factor of 41 and q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20707, -20711, -20705, -20683, -20639, -20567?\nAnswer: -20461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 436*y - 432*y - 2124. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1117420053 rounded to three decimal places?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 149901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 30599053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 1 = -l, 23870*l - 23869*l - 31 = -5*f for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/563160 and 63\/185.\nAnswer: 20836920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -8*p - 1 - 7 - 19 - 37*p. List the prime factors of x(-14).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.9  (b) 0.3  (c) 4\/3  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34922 and 4940.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/12*-9 + 3387\/(-6). What is the units digit of (-4)\/10*(l + -22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 12, 31, 68, 129, 220, 347?\n\"Answer: m**3 + 3*m**2 + 3*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (39\/(-42) - -1)\/((-8538)\/(-11384))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 - -10. Let x(l) = 7*l - 200. Let i(h) = -51*h + 1469. Let y(c) = 3*i(c) + 22*x(c). Calculate y(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 divided by -804.\nAnswer: -8\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52799 divided by 1627.\nAnswer: 52799\/1627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d = 33*d - 89388. Suppose -188*x + d = -182*x. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/10*(-11 + -4). Let w = 51 + -75. Is 9 a factor of ((-9)\/s)\/((-2)\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -824*p - 1. Let g(q) = -205*q. Determine -2*c(y) + 9*g(y).\nAnswer: -197*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 4814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4606 divided by -203.\nAnswer: -658\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 100120001002221?\nAnswer: 100120001002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00140589701 to 6 dps.\nAnswer: 0.001406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1093237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 - 9 = 5*w. Let f(a) = 5*a**2 + 2*a + 2. Let l(g) = -g**2 - g - 1. Let y(k) = w*l(k) + f(k). Let q(j) = 3*j. Calculate y(q(d)).\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -916*x - 2060*x + 156*x - 254*x - 420*x.\nAnswer: -3494*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1575963207 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.311281 rounded to three decimal places?\nAnswer: -0.311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**2 + 15*q**2 - 6*q**2 - 7*q**2 + 2368.\nAnswer: 3*q**2 + 2368","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -4\/3, 279, -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -2*a + 14. Let x(o) be the first derivative of -21 + 1\/2*o**2 - 9*o. Calculate -5*w(g) - 8*x(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*b**2 - 51*b**2 - 65*b**2 to the form v + z*b + d*b**2 and give d.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 PM and 3:30 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -v**4 + 179*v**3 + v**2 - 359 wrt v.\nAnswer: -24*v + 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20264261 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*c + 79*c + 24*c = -2050 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -23.7 - -23.9. Which is the closest to 0?  (a) 4\/3  (b) p  (c) 0.5  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(4*(sqrt(13) - sqrt(52)\/sqrt(4)) + -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 51*p - 9. Suppose -d + 17 = 3*d + 5*m, 3*d + 5*m - 14 = 0. What is the units digit of l(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 7*o**2 - 2*o + 4. Let k be n(-4). Suppose a + a = k. Suppose 10 = 2*g - b - 32, 3*g - b = a. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 556436 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -14*j**4 + 32*j**3 - 4*j**2 - 32*j + 18 = 0.\nAnswer: -1, 1, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/10 + 96\/15. Suppose -q*j + 13*j = 2100. Round j to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -272 - -274. Let v(q) = -q**2 - 14*q + 17. Let d = 28 - 42. Let g be v(d). Solve -4*h = -5*j + g, 4 = -0*j + p*j - 3*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12766271 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*x = -17*x + 136. Let y = x - 165. Let d = -43 - y. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*m**5 - 42*m**4 + 14*m**2 + 38*m - 3 wrt m.\nAnswer: -1020*m**2 - 1008*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the first derivative of -i**4\/4 - 8*i**3\/3 - 3*i**2 - 8*i - 1308. Suppose 5*w - t + 37 = 0, 8*t - 45 = 5*w + 3*t. What is v(w)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/5  (b) 89\/5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {c: 1, v: 7, d: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7643*o**3 - 65*o**2 - 12*o - 38411335.\nAnswer: 22929*o**2 - 130*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11380 - -11857. Calculate the remainder when y is divided by 25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -40\/899 or 1?\nAnswer: -40\/899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 4*u = 24, 3*x + 2*u + 7 = -1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 - 44 - 98 + 3*y.\nAnswer: 3*y - 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 11113.238014 to zero dps.\nAnswer: 11113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.2, -7, 5, 79\/15, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 + p + (27*p + 40*p - 84*p)*(-2 - 1 + 2) + (2 - 2 - 1)*(2*p + 3*p - 4*p).\nAnswer: 17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of 1\/2*s**2 + 0*s**4 + 0*s**3 - 3\/5*s**5 + 1 + 0*s. What is the second derivative of i(c) wrt c?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -d56 (base 14) in base 16?\nAnswer: -a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 15.72 * 114\nAnswer: 1792.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.06 - -0.12. Let f = x + -0.46. Which is the nearest to 4?  (a) f  (b) -0.3  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1923382822?\nAnswer: 2, 17, 79, 157, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l**3 + l**3 + 0*l**3 - 3*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -59, 0.5, 5, 28, 0 in decreasing order.\nAnswer: 28, 5, 0.5, 0, -16, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 PM and 9:37 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - -1. Let d be (-30)\/8 + (-2 - (-28)\/16). Calculate the lowest common multiple of 1*d\/2*-2 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -20*s - 70. Suppose 32 + 0 = 2*j. Let d(o) = -4*o - 14. Let a(v) = j*d(v) - 3*p(v). Differentiate a(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -144 - (-11 - 114) - (-2 + 1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2594 - 23344\/9. Put -5, 2, s, 0.5 in ascending order.\nAnswer: -5, s, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2 + 10795*x - 53950.\nAnswer: -(x - 10790)*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 32, -1\/3, 4, 5\/2, 1088.\nAnswer: -1\/3, 0.4, 5\/2, 4, 32, 1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 13 - 3*t - 40*t + 8*t - 81. Let a be s(-8). What is the highest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 460430 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1152 and 558549696.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (4\/84)\/((-9)\/((-216)\/(-8)))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 24  (b) 1\/13  (c) -2  (d) 5  (e) 1  (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*l - 1 + 36*l - 16*l - 19*l**2 - l**3 as q*l**2 + z*l**3 + w + m*l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-13))\/((-1)\/(5\/(-5)))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3014 and 8756?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 5. Suppose -3*d + 15 = -3*z, f*d - 2*z = d + 1. Sort d, 5, -5 in decreasing order.\nAnswer: 5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 0) + (-4 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 24*i**2 + 2617*i**3 + i**4 - 2526*i**3 - 24*i**2 to l*i + c*i**4 + q*i**3 + b*i**2 + g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 13247 - 0.\nAnswer: 13247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 8:32 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 5*a + 3. Suppose -k + 5*f + 12606 = 0, 9620 + 15605 = 2*k + a*f. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 9 - 12. Calculate the common denominator of 17\/9 and (l\/(-20))\/((-9)\/(-366)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 5*o + 1. Let m be c(5). Let n = 4 - 1. Suppose -m = -i + n. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**(-1\/28)*m*m**(-6\/11))**(-3))**(-6\/23))**(-8) assuming m is positive.\nAnswer: m**(-16524\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 4\/466593755?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) + -1 - sqrt(7))*6 - (sqrt(7) + -2)*-5)**2 + ((sqrt(7) + -2)*-5)**2 + -2 + sqrt(63) + -5.\nAnswer: -257*sqrt(7) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 0.048, -0.4, -2?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 5.08. Let l = -0.129 - -5.049. Let n = h + l. What is the closest to 2\/7 in -0.3, 1\/6, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 450548, 3, -0.57?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((20\/36)\/((-60)\/(-36)))\/((-65)\/(-30)). Which is the third smallest value?  (a) 34  (b) 1  (c) o  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 45\/(-6) + (-2)\/4. Let l = z + 8. Suppose 5*j - 4*j + 319 = 4*n, -3*n - j + 248 = l. What is the remainder when n is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**2 + 13*m - 6. Suppose q + 3*i - 59 = 0, -5*q + 24 = -4*i - 195. Suppose c = 3*w + 24, -3*c + w = -3*w - q. What are the prime factors of x(c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92438443.\nAnswer: 3469, 26647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -5292, -5019, -4566, -3933, -3120, -2127, -954?\n\"Answer: 90*k**2 + 3*k - 5385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -6*t. Suppose -4*n = 4*g + 32, -5*n + 0*g - g - 28 = 0. Let i = n + 8. Let o(a) = -6*a + 2*a + i*a. Calculate -10*o(p) + 2*s(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/7 in 4, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.4 - -6. Let w = -92\/141 - 2\/141. Let x = -5 - -5.1. Which is the third smallest value?  (a) n  (b) w  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1165 + 0*w + 0*w + 3*w - w.\nAnswer: 2*w + 1165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 52.709699 days in weeks?\nAnswer: 7.529957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -117\/7 bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53415909 and 64776.\nAnswer: 8097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j**2 + 5*j + 3. Let h be g(-1). Solve -3*v - 3 = h*o, o - 18 + 3 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -40, -1, 7, -435.\nAnswer: -435, -40, -2, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(176)*1 - (-2 + sqrt(11))**2*-4.\nAnswer: -12*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.19471066 rounded to three dps?\nAnswer: -0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39 and 164320?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 567*s**2 - 288*s - 284. Give o(-1).\nAnswer: 571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3409097 divided by 38.\nAnswer: -3409097\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 16562 divided by -14?\nAnswer: -1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + h + 48 = 0. What is the units digit of (-43)\/(-4) - (-4)\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -175*1\/1*-1. Let s = 255 - 1. Let y = s - u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*c**4*j - 111220*c**4 + c**3 + 9519*c*j + 2*c - 2*j + 1 wrt c?\nAnswer: 24*c**2*j - 1334640*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/7, 10\/11, 0.4, 0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, z: 5, p: 2, n: 6, r: 2, m: 1}. What is prob of sequence pg?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -90 + 27 = -4*t + r, 0 = 4*t + 5*r - 93. Suppose c + t = 2*z, -6*z + 4*z = -2*c - 34. Are -20 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-28)\/(-189))\/((-4)\/6).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 3) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/281, 0.63, 0.03598?\nAnswer: 2\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 9429 = -5*w, 5660 = 3*w + 29*v - 24*v. Suppose -6*r = -4867 + w. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 571909?\nAnswer: 13, 29, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -3*z + 20, -3*z - 5*a = -0*a - 22. Let v(g) = 13*g - 843 - z*g + 843. What is the tens digit of v(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13511 - -423604\nAnswer: 437115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 0. Let z = -0.271 + -41.729. Let d = -41.99 - z. Which is the third biggest value?  (a) r  (b) d  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 214 and 41302?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1612 + -1528. Calculate the remainder when b is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*i**2 - 245*i\/2 - 265 = 0. What is i?\nAnswer: -2, 53\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 127 + -124. Let v = 30.3 + -25.43. Let j = -0.13 - v. Sort x, -1\/6, j in decreasing order.\nAnswer: x, -1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 PM and 12:26 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 5:13 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2641 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -2*i - 21 + 45 - 6, -12*v - i + 44 = -49 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -5, 4, 1061 in decreasing order.\nAnswer: 1061, 5, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.739 + 4.169. Let y = r - -0.07. Let g = -4 + y. Which is the second biggest value?  (a) 2  (b) 0.2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -168.93444 to 1 dp.\nAnswer: -168.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1400 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (31 - (5 + 15)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*2 + 8 + 0. Let p be (j\/(-4))\/((-1)\/2). Solve -1 = k + p*w, 3*k + 3 = 5*w + 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 304 is divided by 275?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -96661, -193263, -289793, -386215, -482493, -578591, -674473?\n\"Answer: 6*b**3 - 96644*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((0 + sqrt(833))*3 + ((sqrt(68) + (sqrt(68) - sqrt(68)*-1) + sqrt(68))*5)\/sqrt(4)) + 3.\nAnswer: -205*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of -2\/9*i**3 - 2\/3*i**2 + 0*i - 2. What is s in b(s) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sxsxzssxxs. What is prob of sequence xz?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, y: 2, a: 9}. Give prob of sequence yey.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 124247418994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 12*a**2 - 2*a**2 - 12*a**2. Let w(f) = 25*f. What is w(i(j))?\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -83191363 by 6.\nAnswer: -83191363\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of 115 - 1\/2*s**2 + s - 1\/4*s**4 + 2*s**3. Calculate f(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21*(170\/340)\/((-6)\/8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 5*o - 12, 2*x + 1 = 4*o - 3*o. Let l = 0.2193 + -0.0193. What is the closest to l in x, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g**2*n*z + g**2*n - 2*g**2*z + 2*g**2 - g*z - 4*g + 222582*n*z - n + 8*z - 400313 wrt n.\nAnswer: g**2*z + g**2 + 222582*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 28 - (22 + -36 - -16)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 - 7*h**2 + 5. Suppose -2*u + 49 + 19 = 0. Let g = u + -41. Let k be j(g). Solve -4*f + d + 3 = 0, 3*d - 4 - k = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 PM and 7:02 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = -v - 4*r, -354*v - 81 = -349*v - r for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23495*r**5 + 41*r + 93.\nAnswer: -469900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(3\/13)*d\/d**(8\/7) assuming d is positive.\nAnswer: d**(8\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 1504.\nAnswer: 7520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -10 + -1 + 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-55 - -157) + -91 + 32.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 + w + 11. Suppose 0 = 19*z - 11*z. Calculate f(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 141 - 141.03. Which is the third biggest value?  (a) 0.4  (b) n  (c) 0.1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {a: 3, s: 5, u: 3, r: 1, p: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 7*x = -6*x - 2194, 3*x = -2*j + 1451. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -39\/14  (b) 291  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 470 - 756 = 2*t - 568 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {f: 1, l: 7, u: 6, p: 5}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 4:59 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-5)*20\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -161 - -7432?\nAnswer: 7251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 7. Let c = -0.6 - 0.1. Let p = 0.5 + c. What is the third biggest value in p, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a day in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 a factor of 14175593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 536164.\nAnswer: 2, 311, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 770676 rounded to the nearest ten thousand?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = 3*t - 5*q, 5*t + q - 143 = -3*q. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = l, -2*l = -5*i - 4*l + 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 103438392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 1229*n**3 - 4*n - 4. Let q(x) = 294961*x**3 - 959*x - 959. Determine -959*i(s) + 4*q(s).\nAnswer: 1233*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 7*t - 24. Calculate w(11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (590\/(-34) - -17)\/3.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7125404297 to the power of 1\/3, to the nearest integer?\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 8 = 5. What are the prime factors of (5 - -2)*-87*o\/9?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 208\/8 + (-2)\/(-2). Let b be (-228)\/t*-167 + 3. Let r = -1411 + b. Which is greater: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 56 + -43. Let l = 15 - p. Solve 0*j + 0 + 0*j**3 + 1\/7*j**l - 1\/7*j**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -377*m**2 - 1709*m**2 + 783*m**2 - 1452*m**2.\nAnswer: -2755*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 10:06 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 83330*h**3 - 574*h**2 + 65 wrt h?\nAnswer: 499980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1823 - -2915. What is the greatest common divisor of 26 and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000174398278 to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*h*m*t**2 - h*m*v + 6*h*t**2*v - 3*h*t**2 - 9*m*t*v - 27*t*v wrt t?\nAnswer: -6*h*m + 12*h*v - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6854 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-13)\/(65\/25) - 50\/(-6). Is f >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 13 - 29 = 0, -3*d = 4*l - 4. Which is the smallest value?  (a) -0.4  (b) l  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 292 and 89906581?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 901 = 14*r + 873. Solve d - 66 = -4*w - 81, 0 = -r*d - 3*w - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 3*v - 4. Let b be 6 - (0 + v - -7). Suppose -p = -b*p + d + 1, -4*d + 10 = -p. Calculate the smallest common multiple of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3611059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0215407 weeks in seconds?\nAnswer: 13027.81536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/((t*t\/(t**(-14)*t))\/t))**45*(t**30*t)\/(t\/t**(-21)) assuming t is positive.\nAnswer: t**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 - 2*w. Let q be r(-2). Differentiate -1 + q*x**2 - x**2 + 3 with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 2*h - 216 = 0, h = -4*k + k + 129. Let t be (k\/63)\/((-6)\/(-27)). Which is the nearest to -2?  (a) t  (b) -2\/13  (c) 4\/7  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -202*b + 2282*b + 3020*b - 1136*b to the form a + m*b and give m.\nAnswer: 3964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d - 13. Let r be o(-9). Suppose 195 = r*c - 0*c. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -34*g - 188 with respect to g.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -122451 - -121500?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 + 3)\/(2 - 3). Solve l + 0*l + 5 = a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 163*n = -454 - 428 + 67. Sort -3, -35, -7, 1, n in descending order.\nAnswer: 1, -3, n, -7, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -10*w**4 + 4*w**3 + 9. Suppose 6*u - 3*u = 0, 3*h - 5*u = -12. Let q(t) = 11*t**4 - 3*t**3 - 9. Let b(r) = h*q(r) - 3*k(r). Differentiate b(o) wrt o.\nAnswer: -56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 - 30 + 11)*(1 + 2*y - 1).\nAnswer: -84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 + 16*b**2 - b + 22. Let i be o(16). Let q be i\/(-45) - 312\/360. Let u be 10\/(-8)*(8 + -4). Sort q, u, -2.\nAnswer: u, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -28624 or -28620?\nAnswer: -28620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-24))\/((-18)\/2553252). Let u = v + -11817. Calculate the common denominator of u and -63\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -98 by 231.\nAnswer: -14\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 9906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 4*f = -31249992, -2*j - 1715206 - 10784786 = -4*f. Round j to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 23\/10 - 4\/20.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2a + 0?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2\/7 + 569517*d\/7 + 3417210\/7.\nAnswer: -3*(d - 189845)*(d + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4*(-28)\/(-16) - 2. Solve -t*f = -9*f + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9\/(-24)*(-3 - (-908)\/468). Let l = q - 3\/13. Which is the smallest value?  (a) -0.2  (b) -53  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 101 + 113 - 221 - 2*n**2 - 14*n. Calculate f(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -9*k - 17. Let t(s) = -4*s - 8. Give -14*t(j) + 6*x(j).\nAnswer: 2*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5941*s**4 + 2*s**3 - 1397*s wrt s.\nAnswer: 71292*s**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 3*o**2 - o + 3. Let a be l(-3). Let g(v) = 6*v**2 - v + 6. Let y be g(3). Suppose 4*u - 3*n + 0*n = y, 4*u + 5*n = a. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-2\/3)*t**(1\/2) assuming t is positive.\nAnswer: t**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 98474562?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-1) + 8\/(-4). Let m be 4 + (4\/(-1) - w). Let g be m - (-2 + 0) - 0. Solve -g*n - n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 305547259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 15*y**2 + 8*y + 71. Determine h(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84083088?\nAnswer: 2, 3, 17, 103043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16?  (a) 1\/12  (b) -3\/901  (c) -0.002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3 - 2 + 955*s**5 + s**2 - 8*s - 960*s**5 - 3*s**2 wrt s.\nAnswer: -100*s**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 601408 is divided by 50?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 328 and 984.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 - -1)\/((-2)\/5). Let j = 8 - r. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (11 - 15) + (-5)\/(-1). Suppose 6 + 10 = -4*p. Let i = p + 6. Solve f - 9 = -i*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -192 + 376. Let x be (-38)\/(-171) - v\/18. Let s be (-32)\/x + (-10)\/50. Solve -s*d = -2*d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 4  (b) 853  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -9*i + 64857, -16*i + 11*i - 5*y = -36015. Calculate the greatest common factor of 159 and i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7972009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1727559604?\nAnswer: 2, 431889901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1132 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -191398, -382800, -574202, -765604, -957006?\nAnswer: -1148408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s**(-7)\/s))\/s*s)**(-24\/5) assuming s is positive.\nAnswer: s**(-216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, i: 3, o: 3, g: 5, q: 1, e: 1}. Give prob of picking 1 e, 2 g, and 1 o.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8, -0.07, 0.5, -34199?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:33 PM and 9:15 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 g when two letters picked without replacement from {u: 2, e: 1, r: 6, c: 1, g: 7, o: 2}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*f**4 + 3*f**4 - 4*f**4 + (3*f - 2*f + 0*f)*(-2 + 2 + f**3) + f - f - 2*f**4 - 2*f**4 + f**4 + 3*f**4 - 862*f**4 + f**2 + 0*f**2 - 26*f**3 + 864*f**4.\nAnswer: 5*f**4 - 26*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 48 + -46. Find the third derivative of -58*v**2 + 19*v**4 + 46*v**x - 8*v**4 wrt v.\nAnswer: 264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*f + g + 26, -7*f + 8*f + 6*g - 4*g + 52 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r + 0*r + 0 - 1 - r. Let z(i) be the second derivative of i**3\/6 - 2*i**2 - 2*i - 18. What is 3*a(b) - z(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = -5*z + 3, 2*a - 3 + 5 = 13*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 - 0.1. Let w = 3 - 5. Put w, 2, i in descending order.\nAnswer: 2, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 2:56 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 103100000 to the nearest 1000000.\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -6705 - -7932017\/1183. Let m = t + -1453\/159705. Let v = -89\/135 + m. What is the closest to v in 5, 4\/3, 3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -2*g**2 - 14*g + 2. Let p be s(-7). Let v(m) be the second derivative of -1\/12*m**4 - 5\/6*m**3 + 0 - m**p - m. What is v(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u**5 - 18340*u**4 - 664970*u**3 - 6479660*u**2 - 8671635*u + 15834600 = 0. Calculate u.\nAnswer: -19, -15, -3, 1, 3704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the third derivative of 0 + 0*b**6 - 3\/8*b**4 - 8*b**2 + 0*b + 11\/210*b**7 + 0*b**3 + 0*b**5. Find the second derivative of o(q) wrt q.\nAnswer: 132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 (base 2) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/9 - 7\/(-3). Suppose 0 = 4*i + u*i - i. Let o(r) = -4 + 2 - r**2 - 2 + r. Determine o(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -y + 4, 2*y + 5 = 3*n + 13. Suppose -h - 242 - 764 = -4*b, y*h - 745 = -3*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 6*(sqrt(1100) + 1) + (2*sqrt(1100) + 2 + sqrt(1100))**2.\nAnswer: 180*sqrt(11) + 9911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c (base 14) to base 16.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 5\/2  (b) -8  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16.529 - -0.5.\nAnswer: 17.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 20639184551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 1. Let f = -2\/43 - 76\/215. What is the nearest to f in 1, l, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 427 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 303 + -153. Let g(r) = r**3 - 40*r**2 + 71*r + 100. Let c be g(38). Let n = u + c. What is n rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 - 10. Solve -3 = -s - r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000251465908 to six decimal places.\nAnswer: -0.000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -40.96 - 1.04. Let p = 10.853 - 10.913. Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55, 215, 481, 853, 1331, 1915, 2605?\nAnswer: 3401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.079 - 0.279. Which is the second biggest value?  (a) 0.6  (b) 0.1  (c) h  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 31 - 20. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/9 + -2\/9. Let u = -2414 + 2562.9. Let h = u + -149. Which is the nearest to -5?  (a) h  (b) 0.3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6\/15 - 47519\/(-990). Let z = q + 10\/99. Find the common denominator of z and -23\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 + 94*u**2 + 87*u + 829. Calculate the remainder when 139 is divided by g(95).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -209 - -4a7a?\nAnswer: 4871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 77786 >= 77787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r - 30 = -9*r. Let z be 2\/r*(-80)\/(-56). Is z < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 10. Suppose 6*v = b*v. Suppose -5*r + 41 = -4*w, 2*r - 4*w + v = 26. Solve r*u - 9 = -4*x + 4, -2*x - 2*u = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from hrrr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -50154 (base 7) to base 14.\nAnswer: -459b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -566, -1157, -1768, -2405, -3074?\nAnswer: -3781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45*u + 149*u + 184*u + 45*u - 4*u + 77*u.\nAnswer: 406*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, 2\/45, -5, 0.8, 52855?\nAnswer: 52855","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 5*t + 25, 2*x - 16 - 4 = 4*t. Let i = 0.077 + -1.057. Let n = -1 - i. Which is the smallest value?  (a) n  (b) x  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*c - 33*c**2 + 34*c**2 + 2*c - 5*c.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 18 + 92. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*z + 57*z + 4494 = 668*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 divided by -460?\nAnswer: -581\/460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**2 + 3262*z. Let y(x) = 2*x. Determine y(l(n)).\nAnswer: 4*n**2 + 6524*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 21753827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 + 18*m + 4. Let t be g(8). What is the common denominator of 626\/t + 2\/(-7) and -1 - (1 + 165\/(-12))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*z - 29 + 12 + 1. Solve -c - 3*c - z*f = 0, -2*c - 4*f = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n**4 + 2*n**4 - 3*n**4)*(-23*n - 792 + 792) - 5*n + 5*n + n**5.\nAnswer: 24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x - 10. Let d(h) = h**3 + 3*h**2 - 11*h - 10. Let a be 609\/(-119) - (-4)\/34. Let f be d(a). Calculate n(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, u: 2, z: 1, i: 11, e: 2, x: 2}. Give prob of picking 1 x, 1 i, 1 e, and 1 g.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -48507.025299 + 48507. What is t rounded to 4 dps?\nAnswer: -0.0253","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -7 - 12) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/74, -0.4, 3982?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 810627 is divided by 214?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.35 + 8.15. Let j = -29 + 20. Let u = x + j. Which is the third biggest value?  (a) u  (b) 5  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 16 = -b, 2 = -3*b + 4*z - 2. Let f(y) = -4*y + 6. Let q be f(6). Let h be 16\/6*q\/(-8). What is the highest common divisor of b and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69722259.\nAnswer: 3, 23240753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4875 divided by -975?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2435 divided by 487\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4686 divided by -2.\nAnswer: 2343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0226919 rounded to 3 dps?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w - 984 + 184 + 3*w.\nAnswer: 6*w - 800","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.06536 and -830988.6.\nAnswer: -830989.66536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f = -91 + 47 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2235*k + 1501*k - 1593*k + 152988 = -1334*k for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + -2 + sqrt(1008) + sqrt(1008) + 0 + 3*(sqrt(1008) + 3 + -2))*-6)**2.\nAnswer: -4320*sqrt(7) + 907236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011010 (base 2) in base 12?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5058045 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 4*j**2 - 4. Let y(h) = h**2 + 1. Suppose 136 = -16*k + 88. Determine k*o(a) - 12*y(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/20*(-20)\/(-15)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {x: 2, k: 4, v: 2, z: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5402 in 120, -1\/7, -4?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3*(-4 - (-1 - 2)). Suppose 0 = 5*l - 4*l + 4, -29 = y*t + 5*l. What is the tens digit of t + 17\/2*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5158 + 5174. Solve -2*o = -n - 4, n + 4*o + y = 9*o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/10 in -1\/5, 10\/9, -1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 7316*t**3 - 3*t**2 + 871*t - 1734. What is the hundreds digit of m(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*h - 5987*h**3 - 44*h + 24*h.\nAnswer: -5987*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/3  (b) 30  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 295.732647 microseconds in weeks?\nAnswer: 0.0000000004889759375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13)*2*6 - (sqrt(637) + 0)) + (sqrt(832) - (3 + sqrt(832) + 1)))**2.\nAnswer: -40*sqrt(13) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -360377*h - 10. Let q(w) = -2*w. Give k(q(g)).\nAnswer: 720754*g - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1400)\/(-525))\/(2*(-2)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -15, -21, -15, 3?\n\"Answer: 6*r**2 - 24*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33430587 is divided by 205?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 5*-67005\nAnswer: -335025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-32916 - -1)*((-16)\/24 - 10\/30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -935264 and 0.8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or 1693\/6276?\nAnswer: 1693\/6276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.05  (b) -0.1  (c) -10  (d) 3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 + 46 - 32 + 3*i**2 + 8*i**2 + 53. Let p(u) = 2*u. Determine p(d(r)).\nAnswer: 24*r**2 + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2, 2\/19, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 817341 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the first derivative of 81*o**6 - 2*o**3\/3 + 1578*o + 467. What is the third derivative of f(c) wrt c?\nAnswer: 29160*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4 - -3 - 0) + (6 - 0). Let s be -58599988 + -1 - 6 - k. Round s to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 618 is divided by ((-42)\/(-10))\/(57\/1710)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23\/143 - -4423\/1716. Calculate the common denominator of 17\/84 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33111.0017902 + -33111. What is q rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1.177 and -0.2.\nAnswer: -1.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 204 and 1020.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2. Let r = -4 - -9. Let j(a) be the first derivative of 2 - a**2 - r + 0*a**2 - 1. What is j(x(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 923 divided by -145224?\nAnswer: -923\/145224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b - 1. Suppose -p - 18 = -7*p. Suppose 2*l + 3*g = -3*l - 6, -p*g + 3 = 2*l. What is f(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -b**3 + 18*b**2 + b + 13. Let k = -14 - -30. Is v(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d (base 16) to base 10.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-467634)\/(-7926) - -1*(0 + -8)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-17)\/(-85))\/(2\/170). Let d(r) = r**2 + 2*r - 7. Let f be d(-6). Let z = i - f. Solve -2*a + 2 + 6 = z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88962666*v**2 + 2*v - 26*v**3 - 88962666*v**2.\nAnswer: -26*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeappeeepaapeeppppp. What is prob of picking 3 p?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -162 + 165. Suppose 0 = -g*q + 5*q - 1012. List the prime factors of q.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(-18))\/(3\/(-18)). Let j = 0.13 - -0.97. Let t = -3.1 + j. Which is the closest to t?  (a) 4\/5  (b) -3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 894060 is divided by 865.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -7884 > 19276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**3 + j**3 - 2*j**3 - 3*j**3 + 0*j**3 + 5*j**3 + (j - 5 + 5)*(5*j**2 - 3*j**2 - 4*j**2) + 2*j**3 + 0*j**3 - 3*j**3 + 0*j + 0*j - j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 35568 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 9*y - 14*y + 9 + 7*y.\nAnswer: 2*y + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2. Suppose 0 = -4*f + 132 + 4. Let r = f + -31. Let w(y) = -7*y**2 - r + 3 + 31*y**2. Calculate w(q(o)).\nAnswer: 24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5166 - 72291\/14. Let j = 23915\/8 - 2994. Find the common denominator of v and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 346*r**5 + 33*r**4 - 453927*r.\nAnswer: 6920*r**3 + 396*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 + 3*p**2 + 10*p - 9. Determine m(5).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = 8*c - 28, c - 3*y - 5 = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -108*p + 92*p + 36 - 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/7473 and -43\/10120134?\nAnswer: 536367102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 + u + 17. Let m be f(0). Suppose -3*j - 21 = -3*d, 3*d - m = j + j. Let k(a) = 2*a**3 - 3*a**d + a - 4*a**2 - 5 + 2*a**3 + 0*a**3. What is k(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/11 - 4668\/22. Let v = 347 + p. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-44)\/(-32))\/((-3)\/(-12)) + (-200)\/(-100)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*z = 20, -3*j - 3*z = 27 - 12. Let c = 9 - 2. Let q = c + j. Calculate the lowest common multiple of q and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -27 + 151. Suppose 7*b - 5*b - n = 0. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -h**2 + 217682*h*w - 37086*w - 6 wrt h?\nAnswer: -2*h + 217682*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2266073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-2)*(-17)\/(-68)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 2, o: 2, b: 2, e: 2, g: 5}. Give prob of sequence joog.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16140 + -113?\nAnswer: -16253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 14\/8*(1 - -3). Suppose 5*w - p*w = 110. Let x = w - -266. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 - -2) + 1\/1. Let y = 226692 + -226690. Solve -4*j + f*j + y*z - 8 = 0, 3*j - z - 11 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the first derivative of d**6\/3 - 6*d**5\/5 - 3*d**4\/2 + 22*d**3\/3 - 6*d**2 - 131. Let m(y) = 0. Calculate y.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3236*v + 804*v - 87 + 87 in the form r*v + j and give r.\nAnswer: 4040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 3:55 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 178*x**3*z**2 + 160*x**3 + x**2*z wrt z?\nAnswer: 356*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 378240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 24786 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -2*l + 12, 2*l - l - 6 = -5*r. Suppose 4 = 5*s - l. What is the third derivative of -18*x**4 - 3*x**s - 7*x**2 + 25*x**4 wrt x?\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -68 + 17*b + 39 + 40 + 10*b in the form k*b + v and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 8) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 4*p - 9. Let i be r(-7). Let z = 69 + i. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3116252270 to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -3*u. Let g(m) = 1321*m**2. Calculate v(g(l)).\nAnswer: -3963*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 10:27 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-540)\/675*-3*(-15)\/24?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 5438556 * 0.3\nAnswer: 1631566.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59999?\nAnswer: 59999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 55 - 29 = 0. Suppose -5*m + 144 = m. What is the least common multiple of x and m?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -42 + 218. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s + 2. Let x be j(-2). Suppose -26*w + 24*w + 4 = 0. Find the common denominator of -65\/9 and ((-3 + x)*-2)\/w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 645\/106058?\nAnswer: 645\/106058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5505920 is divided by 49?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 160894 from 0.1.\nAnswer: -160893.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1282724 is divided by 427574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -8.84315\nAnswer: 4.421575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -6474, -12950, -19426, -25902, -32378, -38854?\n\"Answer: -6476*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -14*k. Let m(q) = -21 - 12*q**2 + 40 + 7*q**2 - 19. Determine m(r(u)).\nAnswer: -980*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(475)*-1)**2 + (-2*sqrt(95)*-5)\/sqrt(5) + (sqrt(76) + -2*sqrt(76) + -5)**2 + (-4 + sqrt(1539) + sqrt(1539)*1)**2.\nAnswer: -114*sqrt(19) + 8173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 1487223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1161 - 1149 = 4*f. Suppose -2*u - 6 = u. Calculate the lowest common multiple of f and 8 + 1 - u\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100101101110111 (base 2) in base 3?\nAnswer: 2122110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -389 = 4*b - 1265. Suppose 0 = 36*m - 1114 - 4466. Suppose q - b = -m. Is 63 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 58577, 117156, 175733, 234308?\n\"Answer: -w**2 + 58582*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -86*n**3 + 9*n**2 + 3*n - 3. Let h(a) = -429*a**3 + 47*a**2 + 16*a - 15. Determine -2*h(y) + 11*m(y).\nAnswer: -88*y**3 + 5*y**2 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 752 is divided by 85?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 2*d - 6*d + 72, 3*p + 5*d - 103 = 0. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 142977*t + 144065.\nAnswer: 142977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ceccceeccccccecccec. Give prob of sequence ec.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*y - 2*v = -12*y, 5*v = y - 17 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -10\/3106737 and 12\/6558667?\nAnswer: 59028003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 5*c. Suppose c = -5*d + l + 51, d + 3*l = -d + 17. Let u = 16 - d. Solve u = -4*g + 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 + 139*g + 371. Suppose -3*y - 2*y + 220 = 0. Calculate the remainder when s(141) is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 488, 0.4, 1, -4 in descending order.\nAnswer: 488, 1, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.08929 * -0.1.\nAnswer: 0.008929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 210*z**3 + 1054*z**2 - 456*z - 2365. What is q(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 8 = 6*u. Suppose u*b + 3*x - 7*x = -124, -b = x + 29. Let w = -21 - b. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4448, -9913, -19014, -31745, -48100, -68073, -91658, -118849?\nAnswer: -149640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 69 + -72. Let f = -1.15 + -0.15. Let w = f - 17.7. Which is the nearest to -1?  (a) -0.4  (b) z  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -d**4\/2 + d**3\/3 + 3*d**2\/2 + 6*d - 29. Let a(t) = t**3 - 2*t - 5. Determine -3*a(j) - 2*z(j).\nAnswer: j**3 - 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1743 + -1.0843. Let v = -15778.08824 + 15779. Let k = s + v. What is k rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*f + 5 - 5.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from saasaa. What is prob of picking 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - (-6 - 15 - -14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87 = -w + 3*o + 10, 2*w = 5*o + 189. Suppose -v - h = -128, 0*h + 5*h + 521 = 4*v. Let j = w + v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5a90a17 (base 11) to base 6.\nAnswer: 1015120052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 + 4)*(-1 + 1 + 2*c)*(18 + 0 - 11) as a*c + b and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -86 + (-7 - ((19 - 11) + -25) - 0)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 829\/1540 - -1\/140. Let h = i - 7\/33. Which is the third biggest value?  (a) 2  (b) h  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1607.59 + 1607. Which is greater: 2\/9 or l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {s: 3, n: 7, q: 3, v: 4, p: 1}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, 1, 968, 6\/7, -3 in ascending order.\nAnswer: -3, 6\/7, 1, 22, 968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 2695 = -11*d - 2658, 3*d = -2*l + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + 13*s**2 + 5. Let i = -378 + 391. Let u be q(i). Solve -2*j + 2 = g, 4*j + 0*g = -u*g - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -51, -8, 2, 1, 11 in increasing order.\nAnswer: -51, -8, 1, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19\/((-665)\/(-10)))\/(10\/42).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4*y**2 + 3*y - 12. Let m be z(2). Let k be 1*8 + 0\/(-2). Let a = m - k. Solve o + 2*s = -0*s - 3, -a*s = -5*o + 33 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 2*f - 6, f + 26 = 5*p - f. Let b(l) = 1 - 7*l - p + 0 + 5*l + 13*l. Give b(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -189 - -193. Solve -5*b + 0*b = -2*h - 20, -b = -3*h - r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3648 + -3640. What is the greatest common divisor of 1544 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**4\/7 - 24988*x**3\/7 + 150062*x**2\/7 + 110704*x - 900000\/7 = 0. Calculate x.\nAnswer: -12500, -4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**4 + 187053895*b**3 - 561161715*b**2 + 561161725*b - 187053910.\nAnswer: 5*(b - 1)**3*(b + 37410782)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttbb. What is prob of picking 2 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2 + 9*v - 4. Let q be h(7). Let o(b) = q*b + 3*b - b. Let s(n) = 0*n**2 - n**2 - n**2. Determine s(o(l)).\nAnswer: -288*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -416.0505653 - 36.9491591. Let r = 453 + g. What is r rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 + -30. Let f = -9.5 - g. Let k be 1*(3 - 6\/2). Which is the third smallest value?  (a) f  (b) -0.1  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4*l = 4*o - 2, -3*l = o + 7. Which is smaller: -2\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 450*f**3 - 4501*f**2 + 6*f + 48. Determine m(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -5\/36*a**4 + 0 + 1\/252*a**7 + 0*a**2 + 49*a + 1\/12*a**3 + 1\/10*a**5 - 1\/30*a**6. Factor j(t).\nAnswer: t*(t - 3)*(t - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r + 2 = 10*u - 8*u, -7*u + r - 17 = 2*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - ((-3 - (-9 + 3)) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17271 - -17278. Put 0, -0.1, l, 4, -11\/8 in ascending order.\nAnswer: -11\/8, -0.1, 0, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*i + 3*i + 40. Let z(w) = -33*w**i + 13*w**2 - 45*w**2. Let o(a) = 2*a**2. What is z(o(c))?\nAnswer: -260*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -15066, -15063, -15060, -15057, -15054, -15051?\n\"Answer: 3*y - 15069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 332*m - 343*m + 209 = 0 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -27, -3, 8, -23\/7, -5, 0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 a factor of 83600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7775778 to the nearest integer?\nAnswer: 2789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -8. Let l(f) = f - 4*f + h*f. Let t(o) = 222*o + 244*o + 2 - 2 - 451*o. Calculate t(l(a)).\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2 - 357*k - 2664.\nAnswer: -3*(k + 8)*(k + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 3*g - 854 = -233, -4*r = -5*g - 855. Does 42 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*j = 163*j + 445*j + 43605 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -237\/382634 or -1?\nAnswer: -237\/382634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 27 = 2*u, -3*q = 4*u - 4*q - 81. Suppose -34 = -5*c + 4*r, 4*c + r + 2*r - u = 0. Suppose c*o - o = 0. Solve -s = -o*s - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 180*n**4 - 285*n wrt n?\nAnswer: 2160*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(133)\/sqrt(567).\nAnswer: sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 2\/5, -2\/23, 3, 1\/4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n*n**(1\/4)*n)**(4\/25)\/(n**(-3\/5)\/(n\/(n\/(n*n**(-1\/2)*n)))) assuming n is positive.\nAnswer: n**(131\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129 - 124 = 3*i - 4*a, -6*i - 2 = -2*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 - 9*j + 11. Let q be b(8). Suppose 4*y - 4 = 0, -q*y + 3 = x - 4*y. Solve -2*g - 10 = x*l, -l - 3*g = -2*l + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*h + 2*h + 0*h)*(-7*h**3 - 4*h**2 + 4*h**2) + (4*h**2 - 3*h**2 + h**2)*(0 + 0 + h**2) to the form f*h + d*h**2 + j*h**3 + r + w*h**4 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8687*s**2 + 4324*s**2 + 4370*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10211012 - 2?\nAnswer: 10211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -3*g**2 + g - 3. What is b(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1323\/44 + -328\/11. Let p be 0 - (-1 + (-46454)\/12). Let c = p - 3857. What is the common denominator of y and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.4, -19.5, -0.5, -0.079, -2?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2\/5 - 26*q\/5 - 56\/5.\nAnswer: (q - 28)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 471 - 91. Let i be (-15)\/13 + (d\/(-65) - -6). Let s be (-82)\/288 + (-2)\/(-9). Is i bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11498 - -27. What are the prime factors of i?\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.10684151334 to 4 decimal places.\nAnswer: -0.1068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11.2863 + 0.1043. Let q = d + 11. What is q rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q**4\/5 - 1118*q**3\/5 - 208054*q**2\/5 - 12888154*q\/5 = 0 for q.\nAnswer: -193, -173, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 40536*o + 40528*o - 4 - 8*o**2 - 81068*o in the form n + m*o**2 + z*o and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 949 and 1079?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.5 - -4.49934. What is p rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2*30 + 1 + -3. Let t(h) = -h**2 + 12*h - 14. Let q be t(7). Suppose q*j - 19*j = k. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1+-17.562439152\nAnswer: -17.462439152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 63112*k**3 - 17082 wrt k.\nAnswer: 189336*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1494.4689 rounded to 0 dps?\nAnswer: -1494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-76)*(-279)\/558?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 + 22*v + 109. Let n be l(-13). Let i(h) = 3*h - 8. Let x(o) = -3*o + 3*o - 2*o + 5. What is n*x(y) - 5*i(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10*((-2)\/(80\/150))\/((-3250)\/400).\nAnswer: -60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 4, 1, -71, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -3*i - 12. Let d be (-2)\/i + (-456)\/(-9). Suppose 0 = 3*c + h - 6*h - 64, -3*h + d = 5*c. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 480\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 - (-1 + 96*-2). Suppose 5*p + g = 1297. What is the greatest common factor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -476*d**4 - d**3 + 287*d wrt d?\nAnswer: -5712*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4  (b) 14  (c) 0.01664  (d) 177  (e) 0  (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3*sqrt(208) + sqrt(208) + -5 + sqrt(325) - (-2 + (sqrt(637)*2 - sqrt(637))*-1)**2).\nAnswer: -643 - 31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -51361 take away 0.4?\nAnswer: -51361.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 2. Let d = -12.87 + -0.13. Let p = d + 12. Sort p, 2\/7, i in decreasing order.\nAnswer: i, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1913308 and 34222?\nAnswer: 461107228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -3*w + 90, -3*u = 5*w - 65 - 5. Let s be 1264\/12 + ((-32)\/(-12) - 3). What is the highest common factor of s and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25*d - 70*d + 170*d to the form j*d + w and give j.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 187900 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 392 = 233*v - 226*v. Suppose 0 = -a - v + 60. Solve a*b - 11 = 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 - -28. Let m = 10 - b. Let h be 3\/9 - (-76)\/6. Solve -3*k - m = -h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*g**4 - 2*g**4 - 1 - 3*g**4)*(1 + 0 + 2).\nAnswer: -36*g**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 10 + 41. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -473.113526 - -337.1135274. Let q = z - -136. Round q to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15964 and 7982.\nAnswer: 15964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32*h**3*n**2 - 31*h**3*q - h**2*n**2*q - 29*h**2*q + n**2*q - 2*n**2 - n*q wrt n.\nAnswer: -64*h**3 - 2*h**2*q + 2*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7578342 by 6.\nAnswer: 1263057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 3*z = 205, -q - 2*z - z + 110 = 0. List the prime factors of q.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 1869 = 9*h + 4*j, -h - 2*j + 375 = 0. List the prime factors of h.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35 + (5 - ((-1 - -5) + 2 + -2 + 0))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 30505899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4d8 (base 15) to base 9.\nAnswer: -1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7123341 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -8.3. Let s = -5.4 - -5. Let q = c + s. Is q bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35 = -9*u + 16*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1793613 to the nearest integer?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/3*40110\/73535?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 78112120?\nAnswer: 2, 5, 47, 41549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-15)\/(-25) + (-33)\/5. Which is the smallest value?  (a) -0.4  (b) -4  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 152 = -79*q + 3*h, -8 = q - 692*h + 695*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, 24, 131, 302, 537?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2874928 milliseconds to seconds.\nAnswer: 0.0002874928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5353\/1760 + 3\/352. What is the common denominator of h and -7\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 618425177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -4 + 6\/((-18)\/(-15)). Suppose -5*j + w = -2*x - 4*j, -x = -4*j - 3. Let y be ((x - 0)\/(-1))\/1*6. Solve -3*t + y*t + 15 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 35877?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 19805 = -3*m - 23351, -2*h - 4*m = -17278. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 1 + 7 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 89685521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -49940*n + 199797. Determine i(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d + 34 - 56 + 29 + d**3 in the form s + j*d + k*d**2 + y*d**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 - 57 = 20*n. Is (n\/(-1) - -508)\/(9\/12) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3847448028 and 1228.\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13999170 is divided by 705?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -k**5\/2 - 989*k**4 - 217491*k**3 - 6465844*k**2 - 137056337*k\/2 - 246523827 = 0.\nAnswer: -1731, -214, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -181 = -81*y - 100 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**27*i*i**(-3\/5))\/((i*i\/i**(-20\/3))\/i)**(-25) assuming i is positive.\nAnswer: i**(3301\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1220.7 + 1221. Which is the closest to p?  (a) -0.2  (b) 3\/4  (c) 1\/6  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1534*-967831.\nAnswer: -148465.2754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)\/sqrt(72))**2 + sqrt(20) + -4.\nAnswer: -139\/36 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10541979*j**3 + 1343*j + 1742.\nAnswer: 63251874*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 353330?\nAnswer: 2, 5, 89, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89089 = -5288*p - 21959 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = 10, 3*z + 176462*s = 176515*s - 244 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 61*t + 64*t - 32486 = 0, 5*g + 2*t = 32484. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1518*x**2 + 1092*x**2 + 6341*x**2 to the form l + f*x**2 + z*x and give f.\nAnswer: 8951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10574)\/4354*-6*14\/(-4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 66*b**3 - 64*b**2 - 2*b = 0.\nAnswer: -1\/33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 359581288*q*y + 294714686*q wrt y.\nAnswer: 359581288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -59648.\nAnswer: 1\/59648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23 is divided by 5*(57\/(-76))\/((-45)\/84).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, k: 17}. What is prob of picking 1 e and 2 k?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12 or -13?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5558841.9us to hours.\nAnswer: 0.00154412275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n - 1. Let s(r) = 2*r + 3. Let j(g) = g**2 + g - 3. Let t be j(-3). Let a(m) = t*s(m) + 5*v(m). Give a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*i = 2, -2*c + 2*i + 16 = 2*c. Suppose 16 = -4*x, 4*a - c*x - 20 = -x. Solve 5*y - 2*y = a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (25\/((-1575)\/(-108)))\/(2\/14). Let z(o) = o + 3. Let i be z(3). Let s = k + i. Solve v - 5*w + 2 = 4*v, -w - s = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4119?\nAnswer: 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.01  (b) 6  (c) -6  (d) -4  (e) 137.4  (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/8 + (-159)\/(-4). Suppose 216*q + 64*q - 54880 = -112*q. What is the greatest common divisor of s and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.71 times 24032\nAnswer: -41094.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the third derivative of u**5\/30 + 5*u**2. Let j(b) = 10*b. What is a(j(q))?\nAnswer: 200*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, 0.03, -2, -4, 0.1, -92, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32.85 - -34.15. What is the third biggest value in x, -0.4, -0.02?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, -4, 28515, 5 in decreasing order.\nAnswer: 28515, 5, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3410 + 3409. Put -12, 23, k, -2, 1 in descending order.\nAnswer: 23, 1, k, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -957 divided by 33?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.012 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + g + 4 = 0, -6*g - 12 = 4*q - 3*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -316*k. Let u(x) = -4*x - 7*x + 7*x + x. Calculate s(u(n)).\nAnswer: 948*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 7*u**3 - 883*u**2 + 1613*u + 2399. Let b(k) = -k**3 + 146*k**2 - 269*k - 400. Let i(t) = -39*b(t) - 6*s(t). Determine l so that i(l) = 0.\nAnswer: -134, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 3:51 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*v + 16 = 34 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -358\/27 <= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13601514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7747 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: Let v(b) = b**3 - 84*b**2 + 84*b - 81. Let d be v(83). Let s(t) = -t - 2. Let y be s(-6). Solve 0 = -d*j + a + 3 + 1, -y*j = 5*a - 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of -482*l**3\/3 - 8314. Let b(q) = -2*q. Calculate y(b(f)).\nAnswer: -1928*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -4, 5, -1\/20, -235?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 2*k - 14 = 0, 5*x + 4*k - 18 = 10. Is (-3)\/12 + 58\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p**3 + 455*p**2 + 15 - 455*p**2 - 15.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.05, 4, 14, 0.1 in decreasing order.\nAnswer: 14, 4, 0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.4, 7, -2, -0.028, -0.1, 11, 0.01?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*p + 14 = 35*p - 12*q, 17 = 3*p - q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6 - (0 - -3))\/(10 + -3). Which is the nearest to 0.1?  (a) q  (b) -3  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 9*f - 1. Let d be q(-7). Let p = d - -26. Let m(w) = 12*w - 1. Let c be m(1). What is the greatest common divisor of c and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-1))\/((-792)\/(-2112))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 11:00 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2 + 2. Let o be t(0). Let p = -6 - o. Let g = 2 - p. What is the remainder when 28 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/20 and 55\/30152.\nAnswer: 150760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -580335 + 580335 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 g when two letters picked without replacement from {q: 1, g: 1, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**6*i*i))\/i**(1\/3))**(-19)*(i**(-1\/4))**38\/(i**(-1))**(-18) assuming i is positive.\nAnswer: i**(671\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -5. Let c(y) = -y**2 + 4*y. Let g(k) = k**2 - 4*k. Let f(u) = 5*c(u) + 6*g(u). Give f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 108dba + -9?\nAnswer: 108db1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(((-7)\/(-35))\/((-1)\/(-5)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 10531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5388529 - 186415 = 546*t - 540*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19551 divided by -9\nAnswer: -6517\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 84448809 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h\/(h\/h**(-2\/9))*h*h*h**(-20\/9) assuming h is positive.\nAnswer: h**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 1:41 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 37 - 28 = 0. Solve -15 = d - 5*k, 0*k = 3*d + g*k - 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the first derivative of f**4\/12 + 6*f - 5. Let v(m) be the first derivative of h(m). Let o(i) = -2*i**2. Give v(o(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 8221775 from -2.\nAnswer: -8221777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z = -2*x - 13*z + 10211, 5*x - z = 25595. List the prime factors of x.\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 7*j + 6*j**2 - j**3 - 6*j**2 + 1. Let t be w(5). Let x = t + 142. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2 - 6*p + 6. Let w(g) = -g**3 - 5*g**2 + 6*g - 7. Let t be w(-6). Let k be i(t). Let c be -1 + 1*2\/(-1). Sort k, 2, c in decreasing order.\nAnswer: 2, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.22 + -0.08. Let h = y + -2.7. Let g = -2 - h. Sort -2, -5, g in increasing order.\nAnswer: -5, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3377 - 3377. Is -7\/214 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17a (base 13) to base 9\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j - 6*j - 99 = 0. Let d(g) = -18 - 19*g + 18 + j*g. Suppose 0 = -a - 4*n + 7, 10 = -5*a + 4*n - 3. Determine d(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2242.\nAnswer: 2, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 3  (b) 176  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*w + w. Let t(f) be the second derivative of -5836*f**3\/3 + 16*f**2 + 88*f. Let n be t(w). Round n to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3721222 - 0.24.\nAnswer: -3721222.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -33765489116 - -2\nAnswer: -33765489114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a + 9*a - 11*a - 14*a. Let t be q(-14). Let s = 73 + t. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5 and 10.95.\nAnswer: 15.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 5*v - 40, 6*l = -2*v + 3*l + 12. What is the third derivative of 8*g**2 - 236 + 236 - v*g**5 wrt g?\nAnswer: -720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 53757 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-3\/2)\/f*f)\/(f*f*(f*f\/(((f**(1\/3)*f)\/f)\/f)*f)\/f))\/(f**(-1)\/f)**44*(((f\/(f**(-1)\/f))\/f)**(1\/17))**48 assuming f is positive.\nAnswer: f**(9025\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hsiutua. Give prob of sequence iu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 60, 131, 204, 273, 332, 375, 396?\n\"Answer: -o**3 + 7*o**2 + 57*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uxjmudbdmdjd. What is prob of picking 2 m and 1 d?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:56 AM and 7:55 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 144 + 290 = -2*o + 142, -5*d = 5*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 76 and 4104.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ro when two letters picked without replacement from {o: 3, n: 5, z: 1, d: 2, p: 3, r: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -393, -43, 0?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 + 50 - 2*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 268 and -0.5?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b964 - 10?\nAnswer: b954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 24*q + 16. Determine x(-6).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-6)*3 - -5. Let u(b) = 4*b**2 - 4*b - f*b**2 + 4*b. Let v(j) = 3*j**2. Determine v(u(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -271 + 4*u - 5077 + 50 - 2*u.\nAnswer: 2*u - 5298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.06 + -4.94. Let c = k + 5.1. Let a = 830 - 839. Which is smaller: c or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 AM and 5:29 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 15\/2*n**2 - 15\/2 + 1\/2*n - 1\/2*n**3 = 0. What is n?\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -6*y**3 + 30*y**2 + 56*y - 4. Let w(x) = 13*x**3 - 61*x**2 - 111*x + 9. Let o(n) = 18*u(n) + 8*w(n). What is h in o(h) = 0?\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/g**(-2\/93))**(-4\/3))**22)**(-44))**(-2\/3) assuming g is positive.\nAnswer: g**(-735680\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 5*k + 13. Let d(z) = z + 2. Let q(n) = 21*d(n) - 3*t(n). Let l be 3\/((0 - 3)\/3). What is q(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29969177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 - 9*q - 1. Let a be (-2)\/4 - (2 + (-33)\/6). Suppose -a*k - o = -73, 0 = 3*k - 3*o - 79 + 10. What is the remainder when k is divided by j(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*-1*(sqrt(2448) + (-1*sqrt(2448) - sqrt(2448))*6 + 5*(sqrt(2448) + 0)) + -4)*2)**2 + 2.\nAnswer: 6912*sqrt(17) + 3172674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2417 and 27157412.\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x + 2*x**2 + 4*x + 3)*(4*x - 3*x - 3*x) + 3*x**2 - 3*x**2 - 2*x**3.\nAnswer: -6*x**3 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -3*t**2 + 8*t + 5. Let k(w) = w**2 - 4*w - 2. Give 5*k(y) + 2*l(y).\nAnswer: -y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(26)\/((sqrt(2)*1 + sqrt(2))*-1))**2.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 + -1679dc?\nAnswer: -1679d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.62748g in kilograms?\nAnswer: 0.01462748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -87791, -1, -4\/3, -2.1 in descending order.\nAnswer: -1, -4\/3, -2.1, -87791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 29259614\/1119 - 26148. Let v = q + 1861\/2238. Is v bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 - n**3 - 7*n**2 - 13*n - n**2. Does 7 divide t(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 3904390?\nAnswer: 3\/3904390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -3*j - 2. Suppose -4*n - 13 = d, 5*d - j = 4*n - 2*n. Put 1, n, -1 in decreasing order.\nAnswer: 1, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.05977ns to seconds.\nAnswer: 0.00000006405977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57780?\nAnswer: 2, 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1213)\/1213)\/((1\/(-1))\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15803?\nAnswer: 15803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 80 - 107 - (-39 - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 53415 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16*w**5 + 461686*w**4 + 3*w**3 - 58021*w + 112 wrt w.\nAnswer: 320*w**3 + 5540232*w**2 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -549*c - 3 - 225*c + 1 + 355*c - 732*c.\nAnswer: -1151*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 17308842049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -190.74 * -0.3.\nAnswer: 57.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 1. Let z(a) = -5*a - 4. Let l(n) = 4*q(n) + z(n). Let p(c) = c**2. What is l(p(t))?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 3:14 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -27*0.57\nAnswer: -15.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -4*a**3 + 7*a**2 - 17*a + 19. Let l(z) = z**3 + z - 1. Let s(v) = -h(v) - 6*l(v). Let u(c) = c**3 + 4*c**2 - 5*c + 6. Calculate 6*s(o) + 13*u(o).\nAnswer: o**3 + 10*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -217*j*n**2 + 6*j*n + 6*j - 19*n**2 + n + 12638 with respect to n.\nAnswer: -434*j*n + 6*j - 38*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 27\/4 of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 g when four letters picked without replacement from {y: 3, g: 3, x: 5}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/3)\/q*q\/q**(2\/5)*(q\/((q*q*q*q**(-1))\/q)*q)**(-32) assuming q is positive.\nAnswer: q**(-491\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 462\/119 + 0 + -4. Let u = 0.07 - 0.37. What is the third biggest value in u, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -199.953 + 200. Let h = -0.953 - n. Let y = -0.4 + 0.4. Which is the nearest to h?  (a) -11  (b) -1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 53*p + 95 - 625. What is the highest common factor of 25 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21928 - 5036 = -963*y for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-15)\/(-110)*1*284782\/(-6). Let n = 6471 + j. What is the common denominator of (-254)\/(-390)*(-5)\/2 and n?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 109940 and -2.274?\nAnswer: -250003.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.888?  (a) -13  (b) 0.3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**4 - 1254*s**3 + 6207*s**2 - 4956*s.\nAnswer: 3*s*(s - 413)*(s - 4)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*c - 4*c - c + (3 + 1 - 2)*(c + c + 0*c))*(1 + 0 - 3)*(3 + 3 - 4)*(-3 + 3 + 3)*(-3*c + 5*c + 2*c) to b*c + u + d*c**2 and give d.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 97878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 26, 2, -36, -94, -178, -294?\n\"Answer: -k**3 - k**2 - 14*k + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*n**2 + 12*n**2 - 116*n**3 - 1 + 1.\nAnswer: -116*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rxh when three letters picked without replacement from {r: 2, x: 5, p: 3, l: 1, h: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 - n + 19. Let j(d) be the third derivative of d**6\/120 - d**5\/60 + d**4\/24 - d**3\/6 - 5*d**2. Let b be j(1). List the prime factors of c(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**2 + 14*r - 4. Let i be w(-12). What are the prime factors of 24\/(i\/(-24) + -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1605 greater than -41\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -59\/3 + 20. Let z = 3138\/11 - 285. Let r = -7661\/12 - -1913\/3. What is the smallest value in z, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 2941 + 6859. What is h rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13c02b (base 13) to base 15.\nAnswer: -98352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 8417 = 4*z + 24841, 0 = 3*v - 6. Let d = -4195 + z. Round d to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -159.47 - -159.4. What is the nearest to 0.1 in f, -1, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 18636.44858 to one dp.\nAnswer: 18636.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12 + 18. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 2*t + 7. Let m = t + 12. Suppose n = -4*f + 37, -m*n + n + f + 80 = 0. Calculate the remainder when n is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*g = 329 - 419. Is 2*g\/48 + (-104340)\/(-32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73238.27 centuries in years?\nAnswer: 7323827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.8107 + 8.0033. What is q rounded to one dp?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 - -10. Let a be 2*1\/(x\/(-1)). Suppose 0*w - 14 = -a*w. What is the remainder when 13 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/(n*n**(3\/19))*n**(3\/4)*(n\/n**(-23))**(6\/31) assuming n is positive.\nAnswer: n**(12339\/2356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 202022 - -403?\nAnswer: 202430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11)\/((-561)\/(-85)))\/(1\/(-21))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00073019 rounded to six decimal places?\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + -342?\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 128628 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((-2 + 3*2*sqrt(612) + 1*sqrt(612) + 0 + 5 + 0)*1)**2.\nAnswer: 252*sqrt(17) + 29999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) 4  (b) 29  (c) 5.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13288 + -9039. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 11.80056ml?\nAnswer: 0.01180056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a milligram in micrograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -7*l**3 + 3 - 3 + 5*l + 5 + 5*l**2. Suppose -6*h + 20 = -2*h. Let o be (-4)\/(-6)*(-3)\/(-2). Let x(p) = p**3 - p**2 - p - 1. What is h*x(w) + o*m(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 94*d**2 - d - 1. List the prime factors of a(-1).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 12 = -2*j, 4*d + d + 15 = -5*j. Does 18 divide 0 + (52 - (j + 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 157 + 38. Suppose x = 4*o - 7*o. Let h = o - -150. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 486*p**2 + 112*p + 14. Let x(t) = 324*t**2 + 74*t + 9. Determine -9*h(u) + 14*x(u).\nAnswer: 162*u**2 + 28*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + 3. Suppose -c*q + 90 = -2*q. Let t = -7 + 17. What is the greatest common divisor of t and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r = -26*r + 628 - 388 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 31, -1\/2 in ascending order.\nAnswer: -4, -1\/2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -277351, 2, 3, 5, -3, 0 in decreasing order.\nAnswer: 5, 3, 2, 0, -2, -3, -277351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 33, 13, -21, -69?\n\"Answer: -7*q**2 + q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 + 2 + -1)\/(-1). Let f(z) be the third derivative of -1\/24*z**4 + 0*z**3 + 0 + 2*z**2 + 0*z + 1\/30*z**5. Calculate f(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.375374 rounded to 3 dps?\nAnswer: 6.375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/((((g*g**(-2\/5))\/g)\/g)\/g*g)))**1*(g**(-2\/3))**28 assuming g is positive.\nAnswer: g**(-301\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5935 is divided by 231.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 10) to base 2\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 1\/70, -1\/9 in increasing order.\nAnswer: -0.5, -1\/9, 1\/70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(132) - sqrt(33))\/(sqrt(81)\/sqrt(3)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9683140 and 488.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 2*w + (-350 - 382 + 820)*(3*w - 4*w + 2*w).\nAnswer: 86*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -214631764421 minus 0.2?\nAnswer: -214631764421.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1900 - 1286. Let i be h\/2 - 1\/(-1)*1. Suppose w - 6*w - 2*y = -370, 4*w + 4*y - i = 0. Calculate the highest common factor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*j - 27 = -1 + 50 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 360975349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -792 * 2\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (48\/(-140))\/(-2) + 36\/(-60). Sort -9.11, -5, c in descending order.\nAnswer: c, -5, -9.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -361368 and -0.1.\nAnswer: 36136.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2720893 (base 10) to base 12.\nAnswer: ab2711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the second derivative of c**4\/6 + 10*c. Let t(g) be the first derivative of 2*g**2 - 41. What is i(t(m))?\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of -1667*c**2 + 1668*c**2 - 96 - 111. Let f(r) = -3*r - 20. Give a(f(m)).\nAnswer: -6*m - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1499\/1757 - -1\/251. Let u(c) = c**3 + 31*c**2 - 66*c + 2. Let n be u(-33). Solve 6\/7*a**n + 2\/7 - 2\/7*a**3 - s*a = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 71 - 68. Let a be 24 - (d + -5 + 3). What is the third derivative of -a*h**4 - 10*h**4 + 10*h**4 - 16*h**4 - 19*h**2 wrt h?\nAnswer: -936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1702114*h**3 - 9930613*h**2?\nAnswer: -10212684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -26\/187 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 51 = -r - 18, 2*b - 5*r = 39. Suppose 0 = 5*t + 4 - 14. Suppose -y + 90 = t*y. Calculate the remainder when y is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {l: 3, k: 2, c: 3, v: 1, q: 2, t: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -347820\/7 or -49689?\nAnswer: -49689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 138200724 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 7*k**2 + 1 + 0*k**2 - 5*k - k**2 - 5*k**2. Let x be r(6). Let f be (x - 4) + (9699995 - -2). What is f rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = -3*h + 27, 90*h = p + 94*h + 3 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 2*h - h - 101, -s + 4*h = -37. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eqcqeeeeqllu. Give prob of picking 2 q and 1 c.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5259, -5265, -5281, -5313, -5367, -5449, -5565?\nAnswer: -5721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 480 - -48. Let r = -297 + y. Let c = -231.00000147 + r. What is c rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/((u\/(u*u*u*u**(1\/4)*u*u))\/u))\/(u\/(((u*u**(-5)\/u)\/u)\/u))*u\/((u\/(u**(-3\/8)\/u*u))\/u*u)*u\/u**(-4\/5))**(-3\/14) assuming u is positive.\nAnswer: u**(39\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - 4\/(-195))\/((-8)\/(-20)). Let q = -13 - -11. Which is smaller: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112 - (7 - 4 - 4).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 - (11 - 4) - (-1 - -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (1 + -7)) + (-26 - -18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -88\/3 - 2\/3*n**2 + 16*n.\nAnswer: -2*(n - 22)*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 45 + 123 = 0. Suppose 0 = 4*p - 23 - 61. Let c = i - p. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k + 3*k - 2*k + 0*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*k = -21*k - 52 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/2 + 1751*s\/2 + 2631.\nAnswer: -(s - 1754)*(s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + 6, 6*c = 2*c + 2*g + 23230. What are the prime factors of c?\nAnswer: 2, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 968*-14.76.\nAnswer: -14287.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -17*w**2 - 4. Let t(k) = -24*k. What is n(t(q))?\nAnswer: -9792*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48004.\nAnswer: 2, 11, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zpzz when four letters picked without replacement from zzpz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-12)*4*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*n**3\/9 - 122*n**2\/9 + 24*n + 8.\nAnswer: 2*(n - 6)*(n - 3)*(7*n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 170*m + 8820 = 163*m. Let l = -658 - m. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 - -4 - 2 - -1. Let d be (1*-3*-1)\/p. Let x(q) = -q**2 + 4*q - 1. List the prime factors of x(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -104, -88, -72, -56, -40, -24?\n\"Answer: 16*t - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1816937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-36)*(1 - 2). Let v(w) be the second derivative of 8\/9*w**3 + 16\/3*w**2 + 0 + l*w**4 + 7*w. Factor v(g).\nAnswer: 2*(g + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 36.6 + -32.6. Let k(s) = 5*s**2. Let w be k(1). Which is the nearest to 0.1?  (a) w  (b) 1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -183 - -189. Let g(h) = h**3 - 5*h**2 - 4*h + 20. Calculate the least common multiple of g(i) and 68.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 + m + 4)*(5*m**3 - 17*m**3 - 3*m**3).\nAnswer: -15*m**4 - 90*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 AM and 7:58 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -291*r + 144*r - 4*r**4 + r**3 + 190*r to the form q*r**3 + c*r**4 + o*r**2 + f*r + h and give f.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 7*m - 33. Let g be b(5). Factor -15*w - g*w**2 + 6*w**2 + 0*w**2 - 9*w**2 - 10.\nAnswer: -5*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 5*t**3 + 25*t**2 - 39*t - 194. What is k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*u**2 - 26*u**2 + 93*u**2 + 5983 - 20*u**2 - 26*u**2.\nAnswer: 3*u**2 + 5983","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -31 - 5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-32 - (-1788)\/48)*(-4)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2678 = 2375*y - 2519*y - 1066 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.240461 and -0.156.\nAnswer: -0.037511916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -1) + 2 + (-26 - -26)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000003784898 to seven dps.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 69949, 69945, 69941, 69937, 69933?\nAnswer: 69929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, 4, 1702, -1 in ascending order.\nAnswer: -4, -2, -1, 4, 1702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10011001101111110101101011 + 1?\nAnswer: 10011001101111110101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2144 + 0?\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/(-198)*-6)\/(33\/6)*-12.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 867017046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22156 is divided by 568.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 15*v**2 + 4741*v - 37964. Calculate s(8).\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*j - 6395 - 820 = 0. Round j to the nearest 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27318.47ml to litres.\nAnswer: 27.31847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 25048620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*p**2 + 3*p**3 - p**2 + 11 - 4*p**3 to u*p + d*p**2 + k + l*p**3 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/54 and 17\/3951.\nAnswer: 23706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.01?  (a) -20  (b) -3\/4  (c) 0  (d) 4\/7  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 15*k + 725. What is o(-42)?\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1374 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -22*v**3 - 4*v**3 + 9*v**3 + 48*v**3 - 5*v**2. Let l(m) = 325*m**3 - 52*m**2. Give 5*l(q) - 52*z(q).\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9304 - -9378. Let b = -150 + 229. Let y = b - l. Solve t = y*c - 13, c + t = -2*t + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*d - d - 81 + 3*d**2 - 7*d.\nAnswer: 3*d**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -158*i + 718*i = -20037 + 5477 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 2*o**3 + o**2 + 4*o + 3. Let r be g(-2). Let f = r - -19. What is the second derivative of 8*w**2 + 0*w + 3*w + w**f - 21*w**2 wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2*i + 8 = -3, -2*o - 4 = -5*i. Let k(p) = 0*p - o*p - 2 + 3 + 2*p. What is the units digit of k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 - (-25)\/(75\/(-216)). Let c = d + 68. Factor 2\/11*s**3 + 6\/11*s + 8\/11*s**2 + c.\nAnswer: 2*s*(s + 1)*(s + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 48444 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -48, 0.1, 1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the second derivative of 9*f**7\/35 + 7*f**5\/6 + 12*f**2 + f + 3. Let n(c) be the first derivative of q(c). Find the third derivative of n(p) wrt p.\nAnswer: 1296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 936718 or 936717?\nAnswer: 936718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 24 + 40 = 0. Suppose -5*a = 20, 26*a = -i + 23*a + 5. Suppose -i*w = -m*w. Solve -2*t + 3*t + 4 = w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 45 = 5*a, 4*a = -2*k + 5*k - 45. Suppose k = -d + 4*d. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29 + 52. Let m(k) = -k**2 - 13*k + 55. Let l be m(-13). Let u = l - c. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 5*j**2 - 2*j - 3. Let a(w) = -6*w**2 + 3*w + 4. Let c(b) = 2*a(b) + 3*v(b). Let x be c(1). What is the units digit of 17 + (x - 9\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -580414.8 to the nearest 1000.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -16*l + 38. Suppose 25*w - 55 = -l. Solve 4*x = w*x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -83\/267 + -2\/89. Which is the closest to u?  (a) 7  (b) 0.3  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-120)\/(-18)*(-3)\/2. Let a be (4\/75)\/((-4)\/r). Let v = 0.26 + 3.74. What is the nearest to 0.1 in v, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-2) + 8\/(-7). Let k = -147.4 - -147.5. Let b(a) = -a**3 + 5*a**2 + 8*a - 7. Let n be b(6). What is the second biggest value in k, n, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from {l: 5, y: 3, b: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y - 3. Let s(x) = 2*x - 5. Let q(i) = -5*d(i) + 3*s(i). Let h(f) = 5*f - 5. Calculate h(w) - 6*q(w).\nAnswer: -w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -1441, -11467, -38695, -91729, -179173?\n\"Answer: -1434*p**3 + 3*p**2 + 3*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.03409, 2\/15, 5, -72.\nAnswer: -72, -0.03409, 2\/15, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/3, -2, 63\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -81138506.35 rounded to the nearest 10000?\nAnswer: -81140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -4c6b (base 13) to base 2\nAnswer: -10101010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 2*r = -b + 209, 4*b - 4*r = 280. Suppose -93 = -27*v + b. What is the highest common divisor of v and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4008 or -4014?\nAnswer: -4014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(6\/5)\/c)\/(c\/(c\/(c**10*c*c))))\/(c**6*c**(-6)) assuming c is positive.\nAnswer: c**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-1*(sqrt(17) + 1)*-1 + (sqrt(1700) + sqrt(1700) + -1)**2 + sqrt(153) + 2 + -1.\nAnswer: -39*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/6*-12 - 4. Suppose 5*i + y*n - 674 = 5*n, 0 = -5*i + 4*n + 671. Let r = 34 + -19. What is the highest common divisor of r and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -170 + 182. Which is the biggest value?  (a) 0.7  (b) n  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the second derivative of t**4\/12 - t**3 + 3*t**2 - 2*t. Let n be c(4). What are the prime factors of (-42)\/(-4) - n\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 5*c = 10, 28*k - 30*k + 5*c = 45 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2015972384.\nAnswer: 2, 149, 563, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 4 - 3*p + (-2 + 3 - 2)*(-2*p + 0*p + p) - 2711*p - 2795*p + 173*p as o + b*p and give b.\nAnswer: -5335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 0. Let q be ((-2)\/(2\/(-9)))\/3*15\/9. Which is the third biggest value?  (a) -2\/5  (b) q  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + 8*h - 1. Let m(q) = -1. Let r(c) = -6*m(c) - w(c). Is r(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -5*g - 5*x, 4*x = 2*g + 3*x - 18. Let z(c) = 5*c - 23. Let i be z(g). Are i and 12 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 0.0082  (c) -3  (d) 46  (e) -2\/11  (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 44 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r + 14*r = 78. Let d(s) = 1 - 101*s**2 + r*s + 103*s**2 + 3. Let g be d(-13). Solve 0 = -i - g*v + 18, -3*v + 14 = 3*i - v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f + 3*f**2 - 3*f)*(0*f + 2*f + 0*f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/11, 37, 3\/20, -1, 0.2, -3\/8, 4\/43?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of -492*r**5\/5 + 1140*r**2 + 63*r + 3. Differentiate q(l) wrt l.\nAnswer: -5904*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29082 + 2617279\/90. Find the common denominator of 143\/18 and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/5*(-4 + (3 - 171\/(-189))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 - 6.2. Let k = 655\/434 - 2\/217. What is the closest to 0 in k, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 4*d = 24, -3*d - 10 - 5 = -2*s. Suppose -2*w + 4*p + 15 = -15, w + p - 6 = 0. Let a = s + w. Calculate the greatest common divisor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33088 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 - (70 + -45) - (6 - 1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 40*k + 23. Let z(p) = 13*p + 8. Determine -4*m(y) + 11*z(y).\nAnswer: -17*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(2\/9)*c**(-26)*c)\/(c\/(c*c**3)*c)**(-12\/11))**8 assuming c is positive.\nAnswer: c**(-20912\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*u + 69 = -3*p, 1399*u - 16 = p + 1402*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-865)\/75 - (-500)\/480*8?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*(k**(-2\/21)\/k)\/k*k)\/(k*k**(-1\/9)*k))**(3\/11))**38 assuming k is positive.\nAnswer: k**(-4750\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 563.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -7*o**3 - 26*o**2 - 75*o. Let w(q) = -q**3 + q**2. Let d(t) = 4*w(t) - z(t). Suppose d(p) = 0. Calculate p.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5596928 divided by 6\nAnswer: 2798464\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of -147*r**5\/5 + 3129*r**4\/4 + 2316*r**3 - 13632*r**2 + 17664*r - 1721. Suppose p(q) = 0. What is q?\nAnswer: -4, 8\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15392, -21523, -27656, -33791?\nAnswer: -39928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1796918?\nAnswer: 2, 898459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-30)\/20)\/(1\/(-2)). Solve 5*d + 26 = i*w, -5*d + 9*w - 4*w - 30 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8148409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-12)\/1)\/2 - 1. Let t(k) = -k**3 - 7*k**2 - k + 7. Let h be t(y). What is the greatest common divisor of 126 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 12:17 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 + 13 + 8 - t + 8.\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86811 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6092748*z - 1062*z**2 - 6092748*z to the form w*z**2 + u*z + k and give w.\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (16*p - 5*p + 3*p)*(2*p + 2*p - 2*p) as t + b*p**2 + l*p and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 754 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 542092421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 - 14 = 3*x. What are the prime factors of 3*((-6055)\/x)\/5?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.09, -0.1, -108\/17, -1\/2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9129748 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -2 + -81 + 97 - 11 - (-2 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -39 - -5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the third derivative of -a**5\/60 + 3*a**4\/8 + 3*a**3\/2 + 22*a**2. Let w be l(11). Let z be (-2)\/3 + 258\/(-18). Which is greater: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, t: 7, c: 1, f: 6}. Give prob of picking 1 s and 1 c.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1198889 rounded to 4 dps?\nAnswer: -0.1199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, a: 16}. What is prob of picking 1 l and 3 a?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (45\/33)\/5*(-24)\/18?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) 1\/4  (c) 3  (d) 24\/5  (e) -694  (f) -0.2  (g) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + r)*(-3 - 3 + 4) + 0*r + 3*r - 4*r - r + 4*r - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*s + 40756 = -13*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 436 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 8. Let m be (-84 - -1) + 0 + (t - 0). Round m to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3 - 81273*u**2 - 566918352*u - 221488293780.\nAnswer: -3*(u + 415)*(u + 13338)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 213 - (1 - 2)*-3. Let i(p) = -7 + 2 - 51 + x*p. Let g(j) = 19*j - 5. Let u(h) = -56*g(h) + 5*i(h). Let y(a) = 2*a**2. Give u(y(b)).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-40*r + 194*r + 7*r)*(-3 + 6*r**3 + 13*r**3 - 15*r**3) in the form g + f*r**2 + c*r**3 + a*r + h*r**4 and give h.\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 4*b**3 - 43*b**2 + 196*b - 13. Let o(u) = -8 - 2*u**3 + 6*u**2 + u**3 - 49*u + 11 + 5*u**2. Let j(v) = 6*a(v) + 26*o(v). What is x in j(x) = 0?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Do 36 and 155 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 3*b - 531 - 426, -239 = -o - b. What is the greatest common factor of 390 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2131239ml in litres?\nAnswer: 0.0002131239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u**3\/3 - 74*u**2\/3 + 1369*u\/3 = 0. What is u?\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 66027 - 45929. Let a = -20098.169992 + c. Let f = a + 0.17. What is f rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 4697977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 372731592.\nAnswer: 2, 3, 887, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -8*d**2 - 20*d + 7. Let r(y) = 121923*y**2 - 210*y + 20 - 121946*y**2 + 149*y. What is -6*r(x) + 17*v(x)?\nAnswer: 2*x**2 + 26*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -11, 3, 124, -5 in descending order.\nAnswer: 124, 3, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - -3. Let p = m + -3.5. Let u = -0.3 + p. Which is the third smallest value?  (a) u  (b) 0.5  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 939.5 - 9.\nAnswer: 930.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 + 2*p**2 - 4*p**3 + (0*p - p**2 + 0*p)*(2*p + p - 5*p) - p**2 + p**2 - 3*p**3 + (-2*p**3 - 3*p**3 + p**3)*(3 - 5 + 1))*(-7 + 3 - 13).\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10.332 smaller than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1201103, -2402201, -3603299?\n\"Answer: -1201098*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d**3 + 123*d**2 - 681*d + 93. What is o(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 3*u. Let b(l) be the second derivative of -5*l**4\/3 - 32*l. Give i(b(n)).\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 34 and 32?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(-4 + -335)\/(6\/(-4)). Suppose c - 198 = l. Suppose 3*y - c + 110 = 0. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 507 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1927*d**3 + 5592*d**3 - 3646*d**3.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 9:50 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -1981*s + 18. What are the prime factors of p(-3)?\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 252567*r**3 + 146819 with respect to r.\nAnswer: 757701*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15141 (base 6) to base 3.\nAnswer: 10100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = j + 9 - 3, 4*j + 28 - 15 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r - 72 = 21*r. Let f(m) = 2*m**2 + 11*m - 22. Let y be f(r). What is the greatest common factor of 576 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/557 greater than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 111464395913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 + 4*n - 28. Calculate t(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -d**4 + 22*d**3 + 94*d**2 + 171*d + 32 wrt d.\nAnswer: -12*d**2 + 132*d + 188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -0*j + 2*z - 22, 4*z = -j + 23. What is the third biggest value in j, 13, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + ((sqrt(99) + -2 + sqrt(99) - sqrt(99))*4 - sqrt(99)))**2.\nAnswer: -198*sqrt(11) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a0 + 0?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1461767*g**2 - 5*g + 4230187*g**2 + 5*g.\nAnswer: 5691954*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(36)\/((sqrt(12) + sqrt(48)\/sqrt(4))*-2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4\/11, -5\/6, -87, 2\/17 in ascending order.\nAnswer: -87, -1, -5\/6, 2\/17, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -65, -19 in ascending order.\nAnswer: -65, -19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 2 + 16 + -23\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2. Let y(m) = 29*m - 7*m - 85*m. Give u(y(w)).\nAnswer: -3969*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.1 - 11.1. Put y, -0.02, -2 in descending order.\nAnswer: -0.02, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 549 + -424. What is the smallest common multiple of 750 and r?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1560088 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -843 + 1639. Let b = -795.7 + n. What is the nearest to 0 in -3, b, -9\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.5, 5.3, -2 in increasing order.\nAnswer: -2, 0, 0.5, 5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -96.823644 to 2 decimal places.\nAnswer: -96.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hk when two letters picked without replacement from {k: 2, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 199362480\/13 or 15335575?\nAnswer: 199362480\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 3483720.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/10 in -7, 6, 34171?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -20*r*u**3 + 1272*r*u + 8139*u**3 - 4 with respect to r.\nAnswer: -20*u**3 + 1272*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.392 - -67.392. Let j = f + -112. Sort j, -3, 2\/5.\nAnswer: j, -3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -121 - -187. Let g = -64 + z. Suppose 38 = 4*y - 5*o, g*o = -1 + 5. 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: Find the common denominator of -21\/88 and -67\/990.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(156) - sqrt(156)*2)*-4)\/sqrt(3))**2*2.\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 4*h + 0*h)*(5 - 1 - 5 + 2 + 1 - 1 + (-1 - 1 + 1)*(-2 - 2 + 2) - 2 + 1 + 4).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 0. Let k be (1 - x)*2\/18. Is k greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 0 - (18 - 19)) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 5*y - 12. What is the third smallest value in -2\/3, y, 2\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 0 + (-13 - -10) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27555 is divided by 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -71699, -71705, -71711, -71717?\nAnswer: -71723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (1 + -5 + (8 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**2 + 6*z + 3. Let p be m(-6). Let t(b) = -4*b - 4. Let l(n) = 2*n - 4*n + 1 - 3 + 0*n. Determine p*t(x) - 7*l(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/(-2)*16\/20. Let x(t) = -3*t**3 - 3*t**2 - t - 1. Let u(g) = 2*g**3 + 2*g**2 + g + 1. Let m(d) = -5*u(d) - 3*x(d). Is 6 a factor of m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/5, 3, -117 in increasing order.\nAnswer: -117, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1871757 or 0?\nAnswer: 0.1871757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 190 and 180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**3\/3 + 84200*f**2\/3 + 1775857157*f\/3 + 145054677442\/3 = 0. What is f?\nAnswer: -42059, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 14, s: 1}. Give prob of picking 4 v.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5637 + 2359 = -2*c. Let z = 7525 + c. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -118 (base 12) in base 4?\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 3\/7114?\nAnswer: 3\/7114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 2*l - 2*v + 14, -4*v + 20 = 0. Let i be ((-5029240)\/15)\/((-4)\/1026) - l. Round i to the nearest one million.\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 91*p + 4. Let j be y(-2). Let x be (-7)\/49 - 30\/(-14) - j. Let a = x - 116. Calculate the highest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 30896 - 21762. List the prime factors of m.\nAnswer: 2, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4*7\/14 - -6. Solve 5*f - 1 = s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.52028, 6, -0.5, -41 in ascending order.\nAnswer: -41, -0.5, 0.52028, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/15, -10, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3*(6\/(-3))\/6. Let v = 160 - 159. Sort v, -5, z, 4.\nAnswer: -5, z, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + (-3)\/3 + 0. Let j(z) = -z + 24. Let p(g) = 23*g + 2. What is the remainder when p(4) is divided by j(m)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40698*o + 1895 + 40745*o - 1895.\nAnswer: 47*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 299881909?\nAnswer: 299881909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 12  (b) 4  (c) -1\/15  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1285*s - 3944*s + 62953 = 2353*s - 52323 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1408 * 40643\nAnswer: 57225344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 99 - 100 = -190 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 2. Let m(n) = -2*n + 11. Let o be m(d). Calculate the remainder when 25 is divided by 1 - o - 104\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -5*o - 55*o - 66*o - 9 - 28*o. Is q(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 244*o**2 + 2*o - 299. Let u(j) = -2439*j**2 - 21*j + 2988. Let c(n) = 21*k(n) + 2*u(n). What is the derivative of c(t) wrt t?\nAnswer: 492*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/76020 and 55\/36.\nAnswer: 228060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -5019*x - 1656251. Determine t(-330).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 PM and 1:36 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8\/3)\/(4\/6). Let l(w) = 1 + 5*w**2 + 0 + w**3 - 2*w**3 - g*w. Let n be l(4). Solve n + 0 = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1754 (base 8) in base 7?\nAnswer: -2633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 169 + -25. Find the common denominator of 1\/2 and ((-4)\/(-33))\/((-32)\/f).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/20 - 1)*(-80)\/(-60)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 10:32 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that 5*q**5\/3 - 1680*q**4 - 30635*q**3\/3 + 72170*q**2 + 506580*q + 425880 = 0.\nAnswer: -6, -1, 7, 1014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 19 = -2*b, -4*b - 4*n - 18 = -7*b. Suppose -5*u - 30 = -b*u. Let w(x) = -x - 7. Let y be w(u). Solve -f + y*f - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/7 + 1454*n\/7 + 15432.\nAnswer: 2*(n + 84)*(n + 643)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 2*o**2 + 384*o + 637. Does 47 divide y(73)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 56 + 0*t**2 - 26 - 25*t + 5*t**2.\nAnswer: 5*(t - 3)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**3 + 216*j**2 + 408*j - 693. Give m(-106).\nAnswer: 1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3060391 is divided by 2425?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.4 - -0.4. Let x = -3 - u. What is the nearest to -0.1 in 1\/2, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41, 308, 1031, 2438, 4757, 8216?\nAnswer: 13043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002391585 rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttst when four letters picked without replacement from tstsstssstssttst.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 3257*p - 76996. What is m(24)?\nAnswer: 1172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/130 and -157\/30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -3, 5, 12 in ascending order.\nAnswer: -4, -3, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:02 PM and 9:46 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of m**5\/20 - m**4\/2 + 5*m**3\/6 + 7*m**2 + 21*m. Let g be p(6). Let q = 64 - g. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 3*n**3 - 35*n**2 - 4*n + 535. What is d(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 60 and 630.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8455 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:41 PM and 1:41 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 50814.13 weeks?\nAnswer: 30732385824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 731091.\nAnswer: 3, 379, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*n = -68*n - 60 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3727?\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -579, -1159, -1741, -2325, -2911, -3499, -4089?\nAnswer: -4681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 924167, 924164, 924161, 924158, 924155, 924152?\nAnswer: 924149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -576a33 (base 12) to base 6.\nAnswer: -50010503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of -45*q**4\/2 + 173*q**3\/3 - 61*q**2\/2 + 6*q + 109. Factor l(f).\nAnswer: -(2*f - 3)*(5*f - 1)*(9*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of 3*c**2\/2 - c + 15. Suppose 2*v - 4*p - 12 = 0, -2*p + 12 = 3*v - 14. Suppose -v = 10*t - 14*t. Give b(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3280, 3 in decreasing order.\nAnswer: 3280, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22 + -13. Suppose x = r - 0. Let u = r - 6. Solve -6 = u*i + 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 210\/(-518)*54723\/(-2465)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -100*k**2 + 73 with respect to k.\nAnswer: -200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 20\/18*16\/((-1200)\/45)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 17562, 35125, 52676, 70209, 87718?\n\"Answer: -l**3 + 17570*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2907701 to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 64 - 64.37. Let s = 0.369 + t. What is s rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3\/16 + 7\/16. Let a = -5878\/15 - -392. What is the closest to 1 in p, 5, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -14 - -14.4. Let v = r - 3.4. Which is the third smallest value?  (a) v  (b) 2\/7  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -8  (b) 0.1  (c) -5  (d) 5\/31  (e) 150\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 28 - 35.4. Let o = -56816.5430086 + 56809.143. Let q = a - o. Round q to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-637)\/(-39) + -16)\/((-10)\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iilmiiioimllm. Give prob of picking 2 m.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -h**5\/60 - h**4\/4 - h**3\/2 + 2*h**2. Let k(b) = 3 + b**2 + 0 + 7*b + 1. Determine 6*a(y) + 5*k(y).\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 2*z - 174 = 0, -2*z + 6*z = 20. Let r = s + -39. What is the remainder when r is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + (1 - 4 - 0). Suppose -5*u = -l - 5, 2*i - 3*u = -3. Let a(d) = d - 1. Let z be a(3). Solve -8 = -i*p + z*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 PM and 7:06 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56505219 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h**2 + 2*h**2 + 0*h**2)*(3 - 4 - 1)*(-4 + 1 + 2)*(76*h + 183 - 183).\nAnswer: 152*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**2 - 5242*w - 2404872 = 0. What is w?\nAnswer: -4734, -508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -0.03, 0.4, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1374 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18394 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*p**3 - p + 2*p**3 + 11*p**2 - 2*p**4 - 9*p**2 as i + k*p + o*p**2 + m*p**4 + t*p**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/6 of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 5*y**3 + 95*y**2 - 15*y - 75. Let m(f) = -7*f**3 - 145*f**2 + 23*f + 113. Let d(s) = -5*m(s) - 8*p(s). Determine h so that d(h) = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 954*h**3 + 544*h**3 - 1592*h**3.\nAnswer: -94*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (46 - (48 + -54)) + -34?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 2355470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = k - 954 - 102, 5*y = k - 1072. Let c = k - 1029. Is c less than 158\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o - 58 - 26. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309935 is divided by 88?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 33 = -38 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/1*((-63)\/(-12))\/(-3). Suppose 6 = -4*s + o*s. Find k, given that 10*k**s - 100\/3*k + 15*k**3 + 40\/3 = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -93*s + 9503 - 6254 = -2*w, 3 = w for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2033207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 20207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 423 + -423. Solve -299*s + 301*s + 10 = r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 301*f**3*t*v + 44*f**3*t + 2*f**3 - 2*f**2*v - f*t*v - 38362*f*v - 2*v with respect to t.\nAnswer: 301*f**3*v + 44*f**3 - f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*s**4 + 92*s**3 + 556*s**2 + 468*s = 0. What is s?\nAnswer: -13, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 360093 is divided by 11246?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26410 = 2894*w + 22788 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.026 + 0.076. Put w, -5, -3\/4, 0.4, -3 in ascending order.\nAnswer: -5, -3, -3\/4, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22550.6466 rounded to the nearest ten?\nAnswer: -22550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.07905 centuries to years.\nAnswer: 207.905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2. Let r be (6 - 7)*(0 + -1). Let d(z) = 4*z**2 - 2*z + 1. Give r*d(o) + 2*b(o).\nAnswer: 2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 335, 321, 307, 293, 279?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**4\/12 + 4*j**3\/3 - 9*j**2\/2 + j + 43. Determine s(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zpo when three letters picked without replacement from zpzppopo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 5*j + 22 = u, -2*u - 4*j - 14 = 0. Let k(c) = 4*c - 1. Calculate the least common multiple of 11 and k(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/13961?  (a) -1  (b) -0.15  (c) -5  (d) 0.2  (e) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -67 + -4a582?\nAnswer: -4a639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 204.17156 + -237.181. Let v = 34.81 + l. Let w = 1.8 - v. What is w rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-29274)\/(-15708) - 4*1) + 4\/(-88).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 5*b**2 + 15*b - 188. Determine i(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -t - 8, 4*g = -17*t + 14*t - 4. Which is the smallest value?  (a) -0.09  (b) 3\/7  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 337085596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -147 - -147. Let x be (-4 - (-8)\/1) + w\/2. Suppose 10 = 2*u - 5*t, -4*u + 4*t = -0 - 8. Put -2\/13, x, u in ascending order.\nAnswer: -2\/13, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2 + 0)*(3*m - 3*m + 2*m)*(5 + 6 - 1).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*v**3 - 209*v**2 + 209*v**2)*(2*v - 4*v + 4*v) in the form p*v**4 + l*v**2 + q*v + c + a*v**3 and give p.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8870*x - x**2 + 4435*x + 4449*x)*((-2*x - x + x)*(3*x - 4*x + 3*x) - x**2 + 2*x - 2*x) in the form m*x**4 + y*x**2 + q*x**3 + u*x + o and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37398624 divided by 9349656.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l - 13. Let i be b(13). Suppose i = -2*u - 51 - 25. Let k = -16 - u. Calculate the least common multiple of 8 and k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 4 = 2*g, 3*z - 17 = 7*z - g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13185945 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/(-4))\/(6\/(-8)). Suppose -3*r + r + 10 = 0. Let z(p) = 2*p - 4. Let s be z(3). What is the third biggest value in r, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 - 9 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 18\/5*20\/6. Suppose -68 = -5*c + l. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -9  (b) -0.92  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 18*p**2 + 21*p - 44. What is l(19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 17 - (-15 + (9 - -18))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -18 divided by 112\nAnswer: -9\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-14))\/(1825974\/6652)\nAnswer: -2\/427","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 15071917391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -39.4 - -36. Let s = q - -3. What is the third biggest value in s, 3, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 2, -48, -1\/5, 4, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5321\/72 + -664\/9. Which is the third biggest value?  (a) 6  (b) -1  (c) 1  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5693.821 litres?\nAnswer: 5693821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1850*h + 5 + 3702*h - 1848*h.\nAnswer: 4*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/6045 or -1?\nAnswer: -2\/6045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2529282.\nAnswer: 2, 3, 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 52 and 8723332?\nAnswer: 113403316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 2992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/3 - (-120)\/(-72). Let f(k) = -25*k + 5. What are the prime factors of f(c)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 4*n - 7*n)*(-2 + 0 + 4)*(-n + 2*n + n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 122665 (base 13) to base 8.\nAnswer: 1517362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3699990892?\nAnswer: 2, 13, 97, 727, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 112*w**2. Suppose 0*q - 4*q = 4, -11 = -m + 4*q. Let u(d) = 7*d + m*d - 8*d - 4*d. Calculate h(u(l)).\nAnswer: 448*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 11.56, 0.5, 32, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c + 13. Let q be (1 - 10) + 4 + -6. Let b be o(q). Suppose 0 = -0*a + 4*a - 32. What is the greatest common divisor of a and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3674 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 2 x when three letters picked without replacement from {u: 7, g: 1, x: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**2 + 3*q**2 - 6*q**2)*(-2 + 3 - 2)*(1 + 2 - 4)*(4 + 2 - 3).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -110\/3 + 36. Let i be (-6)\/42 + -3*2\/14. What is the fourth smallest value in i, f, 3\/2, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 65  (b) -2  (c) -2\/9  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.055 + -0.121. Round x to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -52, -308, -916, -2026, -3788, -6352, -9868?\n\"Answer: -25*x**3 - 26*x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q**2 + 0*q**2 + 18*q**2)*(4*q - q - 2*q).\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 5, -4, -27, -70, -139, -240, -379?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 451025 is divided by 771.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(90)\/(sqrt(18)\/sqrt(3)))\/sqrt(432))**2 + 4.\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) -299  (c) 0.5  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*(3 - (-2)\/(-4)). Suppose 3*z - 3*j = 66, t*j - j + 68 = 3*z. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (1*(sqrt(104) - sqrt(104)*1))\/sqrt(8) + sqrt(52)\/sqrt(64) + sqrt(13) + sqrt(130)\/(sqrt(10) + sqrt(40) - sqrt(10)).\nAnswer: 5 + 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 + 16*l**2 + 11*l - 36. Does 32 divide i(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, f: 4, p: 6, m: 4}. Give prob of picking 2 f and 1 m.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6493929 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24389657?\nAnswer: 1783, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l + 3. What is h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (486\/4)\/((-48)\/(-512)). Calculate the highest common divisor of g and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 + 49. Let v = -19 + a. Is v\/(((-24)\/21)\/(-4)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 66 + 79. Calculate the highest common divisor of 58 and k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*f - 62 = 22. Suppose -5*y + 18 = -f. Solve y*j - 5*d + 10 = 0, 4*d + 11 = -4*j + 5*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/13)*m**(-16)*(m**(-2\/71)*m)\/(m**(-9)\/m) assuming m is positive.\nAnswer: m**(-4570\/923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1997906 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 486, -12 in ascending order.\nAnswer: -35, -12, 486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -1049367, 5 in ascending order.\nAnswer: -1049367, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 800 = 6*g + 74*g. Calculate the greatest common factor of 3430 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 1, -8, 0.2, 5\/4, 4.429 in increasing order.\nAnswer: -8, -7, 0.2, 1, 5\/4, 4.429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22221 + 21022220000?\nAnswer: 21100012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 - ((-32674)\/(-248) + -92).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*m**4 + 34*m**3 - m**2 + 2*m - 1559372 wrt m?\nAnswer: -12*m**3 + 102*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d + 3. Let m be o(7). Suppose -m = -p + 22. Let q be (-4)\/6 - p\/(-12). Solve y - q = -t, 2 = 3*y - t - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*s**3 + 69*s + 1 wrt s.\nAnswer: -84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 315 divide 101751853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1882639*k**3 + 2019640*k**2.\nAnswer: -11295834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 258*p - 34*p + 34136 = 33*p - 60*p for p.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -24275, -24277, -24279?\nAnswer: -24281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 199 - 359. Let c = -160.00000111 - j. What is c rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 889560.7mm in nanometers?\nAnswer: 889560700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6592*n**3 + 7493*n?\nAnswer: -39552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 6721*w - 1525660. Determine h(227).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5264*g**2 - 2021697*g + 2021697*g.\nAnswer: -5264*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*b**6 + 1304*b**4 - b**3 - 136*b**2 - 404 wrt b.\nAnswer: -600*b**3 + 31296*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (96\/(-28))\/(-6)*4\/((-48)\/84)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/5?  (a) 4  (b) 6  (c) 17  (d) 3\/5440\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 675066, 1350136, 2025210, 2700288?\nAnswer: 3375370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -638553000 rounded to the nearest 1000000?\nAnswer: -639000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -4*o**2 - 2*o + 1. Give i(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 1113149.\nAnswer: -1113150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 0 = 2. Let u be (d - -3)*(19 + -14). Suppose 165 = 5*o + 5*z, -4*o + u*z + 177 = 5*z. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6027 + 6027.3. Let y(f) = f**3 + 6*f**2 + 9*f + 6. Let z be y(-4). What is the third smallest value in 2\/331, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/5)\/(((76\/(-40))\/(-1))\/((-59)\/(-118)))?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -210771, -421555, -632339, -843123?\n\"Answer: -210784*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:21 AM and 8:09 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 7*l**2 - 5*l + 5. Let a be y(-6). Let i = -1373 + 1372.6. What is the closest to 0.06 in i, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -299 - -1498. Calculate the remainder when p is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 99\/112 and 47\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2712500035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-14) + 1 + (-272)\/(-28). Is 10 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1053, -4229, -9485, -16791, -26117, -37433?\nAnswer: -50709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87759690?\nAnswer: 2, 3, 5, 151, 19373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - x + 3*p + 60 = 0, 3*p = -2*x + 48. Let i(q) = -4*q - 45. Let l be i(-14). Let d = x + l. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**3\/6 - 3730*w**2\/3 - 29480*w - 176160.\nAnswer: -5*(w + 12)**2*(w + 1468)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 4*p**2 + 54*p + 32. Let h(t) = -t**2 + t + 18. What is the smallest common multiple of q(-13) and h(0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36 + 101. Suppose 20 = 5*n + 2*a - 32, -4*a - 6 = -n. Let g = n - -7. Calculate the remainder when p is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6148680 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 175402*y**3 + 175364*y**3 - 350710*y**3.\nAnswer: 56*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7)*-1 + 2)*2.\nAnswer: -2*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 881892 is divided by 2746?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1386, 2773, 4160?\nAnswer: 5547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xcgpz. What is prob of sequence zxp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 124921558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 7:54 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 620*x - 90644 + 90644 + (-1 + 3 + 0)*(4*x + 3*x - 6*x).\nAnswer: 622*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-7)\/(-2) - 2484\/(-1656). Solve -5*i - 13 = 3*r, 0 = h*i + 25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 264629284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -60  (b) 1  (c) -183  (d) -2  (e) -0.5  (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -10\/7 and (120\/(-36))\/((-47)\/(-9)).\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.897 - -0.497. Which is the closest to -0.1?  (a) -4  (b) -0.053  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 1 - (-4 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19606 - 9313 = -550*v - 8569 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1790072234.\nAnswer: 2, 11657, 76781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*z**2 + 9*z**4 - 9*z**4 + 4*z**5 wrt z?\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 112 + -55. Let z = o - 52. Let a = 1 - 6. What is the smallest value in z, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2676487 + 365?\nAnswer: 2676863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express ((6 - 2 - 2)*(-2 - 1 + 1) - 1 + 5 - 2 - 5 - 20 - 3)*(-1 - 1 + 4)*(-2*v + 0*v - v) as n + u*v and give u.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**3\/3 + 106*y**2\/3 - 1550*y\/3 + 1250 = 0?\nAnswer: 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (291*c - 21*c**3 - 291*c)*(1 + 0 + 0).\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 427869465?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7.9?  (a) 0.018  (b) -2\/23  (c) 356\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12946 + 4030 + 4031 - 5*r + 4885.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -359 - -384. Suppose 5*v - 45 = -5*g, -g - 7 + p = 4*v. Calculate the smallest common multiple of 40 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d + 2 - 2 + (8*d + 10*d - 5*d)*(-3 + 3 + 3).\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4)*-3*1)\/(sqrt(2) - (sqrt(288) + 2*sqrt(288))).\nAnswer: 3*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 121672116 and 1656.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1 + sqrt(162) + -1 + 0 - (2 + -2*sqrt(162) + -4))**2*-3 + 2.\nAnswer: -4383 - 324*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5317080 and 33795?\nAnswer: 15951240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -214.8 - -215. Which is the fourth smallest value?  (a) 3  (b) -108  (c) p  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-3)*(h**7*h)\/h)\/(h**1)**(-28))**(2\/5) assuming h is positive.\nAnswer: h**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 48546.3 milligrams in tonnes?\nAnswer: 0.0000485463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 3  (b) 5\/2  (c) 0.045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in 73, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5192, 5193, 5194?\nAnswer: 5195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h\/((h\/(h\/(h**(2\/9)*h*h)))\/h)*h)\/h)\/(h*h**(-2\/13)))\/(h**(-2)*h\/(h*h*h**(3\/7)*h)*h))**(12\/13) assuming h is positive.\nAnswer: h**(7732\/3549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1774 minus 0.3?\nAnswer: -1774.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24023 + 2493 = 7*a. What are the prime factors of a?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33d2 (base 16) to base 5\nAnswer: 411031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -10  (b) -1.6  (c) -2\/11  (d) -1  (e) 3\/7  (f) 3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23.2 - -108.8. Let g = w - 258. Let h = g - -126.000126. What is h rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1304726 is divided by 3262?\nAnswer: 3188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/18)\/(4875\/14040)\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*o**3*x**2 + 39*o**2*x**2 + 51*o*x**2 + x**2 wrt o?\nAnswer: 12*o*x**2 + 78*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 448456867?\nAnswer: 19, 101, 233693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -435575*t + 475. Let m(g) = -3661*g + 4. Determine 475*m(f) - 4*n(f).\nAnswer: 3325*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1007 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*a**2 + 20*a - 34*a**2 + 20*a**2 + 49*a**2 + 630*a**3 to the form b + s*a**2 + i*a**3 + p*a and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -79, -182, -337, -550, -827?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 74869342.35 to the nearest one thousand.\nAnswer: 74869000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (-32)\/(-3) + 88\/264\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4684\/3 - 1552. Find p such that y*p - 8\/3 + 12*p**2 = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.993 minus 0.43?\nAnswer: -1.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + 21*n - 2. Calculate l(-23).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 1 = -3*w. Let g be 13 - 4 - (1 + 8). Which is the third biggest value?  (a) -0.3  (b) w  (c) g  (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*13430\nAnswer: -2686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -21a2423 (base 11) in base 6?\nAnswer: -214333242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4353.\nAnswer: 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 44263 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 3:43 AM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 1\/9603530?\nAnswer: 1\/9603530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:40 AM and 2:30 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 70233310 - 2?\nAnswer: 70233306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25401?\nAnswer: 3, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2148263730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*k**4 + 11*k + 2*k**4 + k**2 - 9*k + 2*k**4 + 2 - 2*k**3 in the form d*k**4 + u*k + q + j*k**3 + a*k**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8*(-2)\/(-4) - 2460\/618. Do 0 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**3 + 3*h**2 + 3*h - 2. Let s be j(2). Suppose -6*w + 2*w + s = 0. What is the second derivative of 2*n**3 + 0*n - w*n - n - 6*n**3 wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7326 = -32*h + 670. Which is bigger: h or -209?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7482382741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2730 and 1170.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 297121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of f**4\/6 + 5*f**3\/6 + 49*f**2 - 43*f + 2. What is the units digit of d(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -15 - 2*q + q**2 + 45 - 13 - 15. Let k(f) = -2*f**2 + 3*f - 3. Suppose -5 = -4*v - 13. Determine v*k(m) - 3*r(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*t + 406 = 80*t. Let d = 52 - 12. List the prime factors of 10\/35 + d\/t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(147) + (-1 + sqrt(147)*1 - sqrt(147)) - (sqrt(147) + -1 + sqrt(147))**2*5.\nAnswer: -2946 + 147*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 4*k = -6*k + 127242. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - i**2 - 3*i. Suppose 61*b = 63*b + 4*h - 20, 5*b = -2*h + 2. Let d(l) = -10*l - 2*l**2 - l**2 - 4*l**3 - l**2. Calculate b*d(m) + 7*t(m).\nAnswer: m**3 + m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (28\/12 - 2)*75. Let t = g - 10. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b = -5*k + 10*b + 252, -5*b = 20. Is (-3947373)\/(-297) - (2 - k\/22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 7*n + 1320 = 0. Suppose 9*i - 11*i - n = 0. Let t be (-2)\/(-14) + -5 + i\/(-21). Solve p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 + 5 - 2)\/((-32)\/(-24))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37716159163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16238 - -16233. Let f = -0.2 - -0.1. What is the closest to f in -1\/2, -3, 1, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wvgg when four letters picked without replacement from {a: 3, v: 1, w: 3, m: 1, g: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + -9.93. Round z to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 8209\/1167?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2 - 45*f - 102.\nAnswer: 3*(f - 17)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162*q = 383*q + 151*q + 38001 + 7935 for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 520 and 91\/((2\/(-5))\/((-22)\/11))?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*l = l + 440. What is the remainder when l is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of z**5\/3 - 2*z**4\/3 + 8*z**3\/3 + 2*z**2 + 27. Let i(h) = -4*h**2 + 3*h - 3. Determine 16*i(s) + 3*u(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2010688 rounded to the nearest ten thousand?\nAnswer: 2010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, s: 2, u: 1}. What is prob of sequence usy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -57422?\nAnswer: 172266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 906 and 54?\nAnswer: 8154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 72 and 3322512.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25 + 23. Which is the third biggest value?  (a) 2\/15  (b) -11\/2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -145 or -147?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 3:37 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2228*v**3 + 5*v + 11*v**4 - 2228*v**3 - 6*v + 2*v**2 + 304 wrt v.\nAnswer: 132*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2379672 to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 241875 a multiple of 152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 0 + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-609)\/126)\/(6\/36)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3\/(-5))\/((-12)\/(-15)). Let x be (0\/(12\/(-3)))\/(-2). Suppose x = 2*w - 5*w. Is w greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -894 + 902. What is the closest to -14 in d, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 56923923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 4, -2\/223, -7 in decreasing order.\nAnswer: 12, 4, -2\/223, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/((-7)\/(-35)))\/((-3)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 46483 smaller than 46486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 3*j + 14, -p - 3*j - 18 = 2*j. Suppose 0 = y - p*h - 7, 2*y = -2*h - 3*h - 4. Suppose -y*i = -5*s + 9, s + s = 3*i. Solve -2*b - i = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 6*o**2 + 3*o - 7. Let y be n(-5). Suppose 5*h - y = 4*p - 5, 4*p = 12. Which is the third smallest value?  (a) -0.3  (b) -0.2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45661354201 + 3?\nAnswer: 45661354204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 2 = -2*s, -33 = -5*s - 6*z + 8*z. Solve 4*u - s + 0 = b, b - 7 = -2*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2\/17)*a*a\/(a*a**(4\/9))*a**(15\/4)*(a*a\/(a**(-6)*a)*a)\/a assuming a is positive.\nAnswer: a**(6847\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -12  (b) 0.374  (c) -4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/111150 and -101\/5700.\nAnswer: 222300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (60\/54)\/(-5) - 56722\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -64 - -257\/4. Let x = -568\/21 + 82\/3. What is the closest to 0 in n, x, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -40*w**2 + 4*w + 5. Let u(l) = -137*l**2 + 334*l**2 - l - 1 - 189*l**2. Calculate -2*d(o) - 11*u(o).\nAnswer: -8*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 + 5*z + 54. What is y(9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9 + -8e2?\nAnswer: -8d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4971435 (base 10) to base 15\nAnswer: 683040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + sqrt(76) + -1)**2.\nAnswer: -77 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = q + 18. Let u be ((-2)\/3)\/(3\/q). Let c(p) = 3*p**2 + 2*p - 2. Calculate c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of j*u*z + j*x*z**2 + 6*j*x - j*z**2 + u*x - u + 8*x*z**2 + 9*z**2 - 1 wrt j?\nAnswer: u*z + x*z**2 + 6*x - z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1649299259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y. Let w(s) = -18*s. Let a(h) be the second derivative of -3*h**3\/2 - 5*h. Let i(b) = -14*a(b) + 6*w(b). Give g(i(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*l**2 - 26*l**2 + 36*l**2)*(4*l**3 + 2*l**3 - 3*l**3) + (2*l**3 - 2*l**3 + l**3)*(0*l**2 - 2*l**2 + 0*l**2).\nAnswer: 106*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 21943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of d**5\/180 + d**4\/36 + d**3\/18 + 3*d**2. Factor k(v).\nAnswer: (v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 12:32 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 0 - (-6 - (-3 - (8 + -4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 833931376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 953210 is divided by 1171.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of -16*h**3 + 2. Suppose 116 + 82 = 6*i. Let v(f) be the first derivative of f**3 - 349. Calculate i*v(q) + 2*p(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + u - 5. Give o(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (46*12)\/((-31)\/(-248)).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -594*j + 559 + 35 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (20\/100)\/(5 + 254\/(-50))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 117 - -92. What is the second derivative of -o + t**5 + 2*t + 208 - 53*t**5 wrt t?\nAnswer: -1040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c**2 - 5 + 0 - 169*c + 2*c**4 + 167*c + 6 + 2*c**3 in the form i*c**2 + a + x*c**4 + y*c + p*c**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from kkkkukkkukkkukkukkk.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 78459530 and 78459530 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/526548 and -73\/9?\nAnswer: 1579644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1 and 100506.\nAnswer: 100505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 4 - 1887*y.\nAnswer: -1887*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 421553 and -0.467?\nAnswer: -196865.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000458015 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4676654 to the nearest integer?\nAnswer: 2163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -201 (base 3) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ipiziooooooooifooifo. What is prob of sequence ifzi?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3928272407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -260 (base 10) to base 4.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 4 - 1042*c**2 + 1035*c**2 - 4.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 - 2)*(3*g - 5*g - 3*g)*(-1 + 1 - 2*g)*(0 + 0 - 2).\nAnswer: 80*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -6)\/(7 - ((-152)\/(-16) + -5))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 6:35 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 2*s = -114, -1379108*s = -w - 1379107*s + 27 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 12  (b) 4  (c) -4  (d) 13\/2  (e) 23  (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/20669420 and -17\/20669420.\nAnswer: 20669420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 285370285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114*l + 99*l - 197*l + 4231732 = 0. Is l greater than 19961?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 59 - 39*m**3 + 6*m**2 + 44*m**3 + 89 + 17*m**2 - 5*m + 51 wrt m?\nAnswer: 15*m**2 + 46*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81 divided by 1?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -1\/3  (c) -3  (d) -2  (e) 13888\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 52\/(-65)*(-5)\/2. Let h(u) = u - u + u + z*u. What are the prime factors of h(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 88.05 + -8.05. Let w = -78 + a. Sort -0.03, w, 15 in ascending order.\nAnswer: -0.03, w, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 45\/9 + (-708)\/136 and -23\/29?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8115698471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 - p + 2. Let w(h) = 2*h**2 - 2*h + 5. Let f(q) = 5*o(q) - 2*w(q). Let r be f(2). Solve -r*i - 3*i = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (14 - -1) + (1 - 1). Suppose b*m = -4*m + 3344. Calculate the remainder when m is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 8. Let t be 1\/((-2)\/(-92)) + p. Let h = -23 + t. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 3*d**2 + 5*d - 14. Give a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(((5*((sqrt(143)*-4 - sqrt(143)) + sqrt(143)) + sqrt(143) - sqrt(143))*-1)\/(-1*(sqrt(704) - sqrt(11))*1))**2*6.\nAnswer: -62400\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-220*u - 20 - 8 - 270*u - 3 + 17)*(-u + 3*u + 4*u) to t*u + w + j*u**2 and give t.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 21703, 43410, 65117, 86824, 108531?\n\"Answer: 21707*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/5)\/(-3*(-68)\/30). Which is the nearest to 0?  (a) 4  (b) g  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 11 - 4)*(-r + r - r).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 318555.490953 + -335588.46193. Let i = r + 17033. Let c = i + -0.029. What is c rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a + 1. Let n(d) = 1. Let y(m) = -4*m - 5. Let p(h) = 2*n(h) + y(h). Let c(j) = -j - 8. Let w be c(-3). Give w*b(i) - p(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = t + 20. Let x(p) = 16*p**2 + 2*p + 9. Is x(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.1837275 and 0.05199422?\nAnswer: 0.23572172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/19, 5, 320, 1, 1\/6, 2\/31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - 2*v - 3. Let f be u(3). Suppose f*a - a = -4*d + 19, 27 = 5*d + 2*a. Let o(r) = 2*r**2 + r - 5. Does 5 divide o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -2*t**3 + 11*t**2 + 2*t - 17. Let w be d(5). Suppose w = r - 3*a, -2*r + 3*a + 14 = -7. Solve 0 = -o, 4*o - 12 = -r*q + o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19 - 4 - 70*v + 21 + (v - 4*v + v)*(4 + 1 - 3) - 3*v + v + 3*v.\nAnswer: -73*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2201712 and 822.\nAnswer: -1809807264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -217, 0.1268 in increasing order.\nAnswer: -217, 0.1268, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 88 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iaiiaiiaaiaiiiii. Give prob of sequence iai.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7292, -8301, -10004, -12419, -15564, -19457, -24116, -29559?\n\"Answer: -3*a**3 - 329*a**2 - a - 6959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of t**8\/8 - t**5\/5 - 37*t**4\/4 + 11*t + 3. Find the third derivative of v(f) wrt f.\nAnswer: 840*f**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 5*s - 6. Let x(t) = -14*t + 18. Let p(u) = -11*l(u) - 4*x(u). Let n be p(10). Suppose n*q = -0*q + 48. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -5*c**2 - 120*c - 123. What is i(-24)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 8. Let x be 1*6 + w\/(-3). Suppose 0 = l + 19 - 43. Calculate the greatest common factor of x and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33354658.\nAnswer: 2, 16677329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*j**3*k**2 - 67*j**2*k**3 + 169*j*k**3 + 16*j + 4*k**3 wrt j.\nAnswer: -126*j*k**2 - 134*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (s - 5*s + s + (4 + 4 - 6)*(-2*s - 3*s + 3*s))*(3 + 0 + 3)*(s**2 + 3*s - 3*s) to the form h*s**2 + g + u*s**3 + t*s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 94 - 1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11 + 11 + 2*j)*(3*j**4 + 0*j**4 - j**4) + (6*j**4 - j**4 - 3*j**4)*(0*j + 2*j - j).\nAnswer: 6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 + 111*f**2 - 168*f - 6105. Determine c(-112).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 - n**2 + n. Let f(u) = -4*u**3 + 5*u**2 - 4*u. Calculate 5*a(l) + f(l).\nAnswer: l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 58841, 117683, 176525?\n\"Answer: 58842*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of -1\/8*p**4 - 1\/360*p**6 - 7 - 1\/40*p**5 + 0*p**2 - p**3 + 0*p. Let h(q) be the third derivative of k(q). What is h(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*t = -316*t - 634 + 7826. Let j = -186 + 267. What is the remainder when j is divided by t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48 + 29*i**2 + 48 - 217*i**2.\nAnswer: -188*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g**2 - 12*g - 4. Is i(13) a prime number?\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 h when two letters picked without replacement from {m: 1, d: 2, e: 4, s: 1, h: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -4370424, -4370419, -4370418, -4370421, -4370428, -4370439, -4370454?\n\"Answer: -2*u**2 + 11*u - 4370433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 24 = 0, 3793*v - 3789*v - 49 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -231\/5  (b) -42\/5  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 278248457.\nAnswer: 23, 12097759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 6*s - 809 - 731. What is the smallest common multiple of 44 and s?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of 3*k - 30 + 0*k**3 + 21\/10*k**5 + 0*k**4 - 41*k**2. Find the first derivative of x(h) wrt h.\nAnswer: 126*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157\/12 not equal to 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -5. Let g = y - -74. Let t = -75.53 + g. What is t rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86\/258 - -4*(-175)\/(-1950)?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s**(-2)\/s)*s*s**5)\/(s*s**3*s)**(-2\/37))**(-2\/31) assuming s is positive.\nAnswer: s**(-686\/1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w + 2. Let y(x) = -x**3 + 9*x**2 + 28*x + 9. Let i(d) = d**3 - 9*d**2 - 29*d - 10. Let f(t) = 6*i(t) + 7*y(t). Let k be f(11). Calculate c(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 6068*h**3 + 0*h - 6067*h**3 + 18 - 4*h - 19*h**2. List the prime factors of a(20).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 2. Let k be ((-6)\/24*4)\/(-4 + 2). Which is the second biggest value?  (a) 0.4  (b) h  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -2*(-3)\/((-9)\/(-75))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9152 divided by 8?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -258 - -546. Suppose 0 = -4*m - 0*m - l. Let a = 127 + m. List the prime factors of a.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -12. Suppose l*o = p + 3*p - 20, 0 = -2*p - 4*o + 4. Solve 0*k = -3*k - 4*z - 9, -4*k - 12 = -p*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 610, 1263, 1916, 2569, 3222?\n\"Answer: 653*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/18 and 89\/2614390.\nAnswer: 23529510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*k - k - 5*k)*(-24 + 6586*k**2 + 6591*k**2 - 13182*k**2) to the form q*k + a*k**2 + w + g*k**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-16 - 2)*(2 + -5). Suppose -l = -13*o + 4*o. Let z = o + 151. Calculate the remainder when z is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*k + 13, 209 - 232 = -2*k - 5*d. Solve -2*z = 2*r, 2*z + z - k*r + 35 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2\/13, -784, 2, -10, -0.1 in ascending order.\nAnswer: -784, -10, -2\/13, -0.1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Do -75747 and -75750 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -10*k. Let j(t) be the first derivative of -t**6\/360 + 4*t**3\/3 - 1. Let l(r) be the third derivative of j(r). What is l(u(q))?\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 30 = -h, -3*o - 2*h = 2*o - 35. Suppose -2*m + o*m - 15 = 0. Calculate the remainder when 9 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -866 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*s + 33*s - 3*w + 15 = 0, 5*s - 25 = 4*w. Solve h - s*h = -20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -39883119*0.5\nAnswer: -19941559.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -3*s - 84. What is v(-29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4785321617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34\/120*-2 - 974\/2922.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-3)*n*n**(2\/21)\/n*(n\/(((n*n**(-4))\/n)\/n))\/n*n**1 assuming n is positive.\nAnswer: n**(65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32)\/24*1\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + ((9 + -18 - -8) + -4 + 19 - 5).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10b2a (base 13) to base 15.\nAnswer: -9056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i**(-4)\/i))\/i*i*i*i**23*i*(i\/(i*i**(-41)*i))\/(i**(-28)*i))**(1\/18) assuming i is positive.\nAnswer: i**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 3*d = 7*d - 9854, -2*t + 6553 = 5*d. Calculate the greatest common divisor of t and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/((3 - 3) + 1). Let y(l) = -l**2 + 6*l + 1. Let p be y(6). Is p at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6240 - 6207. Solve -34*b - 5 = -t*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2434450 to the nearest 10000.\nAnswer: -2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 318*g - 46148 - 484010 = 316*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -5, 2853, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18837 is divided by 319.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -7\/5  (b) -5  (c) 47  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -162 + 13a68?\nAnswer: 13906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the first derivative of 675*y**4\/2 - 146*y**3 + 397. What is the third derivative of b(t) wrt t?\nAnswer: 8100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*r, 5*h - 3*r = -5*r - 70. Which is the closest to -0.2?  (a) h  (b) 5  (c) -4\/3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - ((-25 - -10) + -58)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 o when two letters picked without replacement from {a: 1, o: 1, h: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 4  (b) -333  (c) -4  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3468699.75 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 208, 2, -0.14, 6, 23\/5, 1 in descending order.\nAnswer: 208, 6, 23\/5, 2, 1, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 34330777*b. Let f(g) = 5*g. What is f(u(w))?\nAnswer: 171653885*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 2*f + 14 - 1, -2*f + 4*a - 4 = 0. Let j be -5*3\/(15\/f). Put j, -3, 3 in decreasing order.\nAnswer: j, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 - 2*p + 52. Let q be h(-8). Let f = 59221 - 3730840\/63. Let r = f - 8\/9. Which is the closest to 2?  (a) r  (b) -0.3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -18*h**4 - 25*h**3 + 18*h**2 + 25*h. Let b(g) = 3*g**4 + 4*g**3 - 3*g**2 - 4*g. Let t(j) = -39*b(j) - 6*y(j). Factor t(o).\nAnswer: -3*o*(o - 1)*(o + 1)*(3*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4870.\nAnswer: 2, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 7*o - 3*o + 17.\nAnswer: 4*o + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 6*u + 26555*u**2 - 3*u + 10*u + 5. Let y be x(-16). Suppose y = 9*j - 12102123. What is j rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 663, 843, 1023, 1203, 1383?\nAnswer: 1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-20))\/((-1)\/2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 6634*i - 159213. Determine l(24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 42 = 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -127 - -191. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 187344 and 228976.\nAnswer: 2060784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 172051 is divided by 979.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2471071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -11212112200 (base 3) in base 14?\nAnswer: -26d39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -445391 times 1\nAnswer: -445391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-155)\/(44175\/4104))\/(-4)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 435 = -8*b + 11*b + d, 4*b - 2*d - 580 = 0. Suppose b - 208 = -9*m. Solve 0*o + 2*o + m = -f, -5*f - 3*o - 7 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j + 10. Let n(i) = -i**2 - 5*i - 2. What is the least common multiple of b(-4) and n(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.7152 + -0.4848. Which is the closest to j?  (a) 3\/5  (b) 1  (c) 2\/13  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 168 = 6*r - 3*r. Suppose -4*j + 8*j = r. Find the second derivative of 0*v - 36*v**2 - j*v + 48*v**2 wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/(d*d**(-1\/2)))*d**(-4\/7))\/(d*d**0*d*d**(3\/4)) assuming d is positive.\nAnswer: d**(-79\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 + 5*b**2 - 6*b. Let c be y(-6). Suppose -m + 5 - 3 = c. Find the third derivative of 0*o**2 - 5*o**3 - 2*o**m + 3*o**3 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -39 + 63. Calculate the smallest common multiple of 6 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 15 + x - 6 + 3. Let o be v(-9). Suppose -f + 340 = o*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2378208 and 700?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(162)*1 - sqrt(162)))\/(sqrt(54)\/sqrt(324)))\/(-4*((sqrt(225) + -2*sqrt(225))*3 - -5*-2*sqrt(225))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51089471*v - 102178791*v + 51089329*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 175584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirty-three fifths of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 12 = -5*n. Suppose 0 = 4*j + n*z - 2, -j + 3*j = z + 7. Suppose -j*r = -r - 797. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/3 - 418264*d\/3 - 43736193424\/3.\nAnswer: -(d + 209132)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 290 + -184. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*k - 68. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6\/(-18))\/((-4)\/156). Suppose -806 - 1326 = -d*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 1. Let h(z) = z**3 + 6*z**2 - 2*z - 2. Let p(s) = s**2 + 22 - 22. Let t(k) = -h(k) + 4*p(k). Determine t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 561 a factor of 4571430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -37694 - -37789. Calculate the lowest common multiple of r and 1577.\nAnswer: 7885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74098240 a multiple of 3604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34b3 (base 12) to base 14.\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 40*s**2 + 206*s - 13. Let f be x(6). Let y(a) = 46*a**3 - 3*a**2 - a + 1. Calculate y(f).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t**2 + 100*t**2 - 37*t**2.\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 711 - -3a?\nAnswer: 74b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -5*x + 212. Suppose x + 41 = a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-35160002)\/(-12) - 16\/96. Round o to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1411 divided by 1.\nAnswer: -1411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1268208.879 to the nearest ten thousand.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6892, 13657, 20422?\nAnswer: 27187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9080 divided by 4540.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 2 f, and 1 v when four letters picked without replacement from lvkkflkldulkdv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**3 + 3*n**2 + 5*n - 16. Calculate the least common multiple of t(4) and 189.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (5 - 0) + (10 - (-1 - 11)) + 14?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -599 - -602. Solve b*o - d - 10 = 0, 2*d - 20 + 4 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**2\/11 - 481234400*u\/11 + 28948318467920000\/11 = 0. Calculate u.\nAnswer: 120308600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -1\/4, -6, -1, 169 in increasing order.\nAnswer: -6, -1, -0.3, -1\/4, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (135\/(-180))\/((-3)\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 s, and 1 e when three letters picked without replacement from {h: 2, r: 2, f: 2, z: 1, e: 1, s: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 - 7*t - 7. Let q be r(-6). Let f = q - -6. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14038, 56090, 126186, 224332, 350534, 504798, 687130, 897536?\nAnswer: 1136022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a (base 15) to base 13.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from xeecmbexxeebe.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + 1a6bb2?\nAnswer: 1a6bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2021*g*k**2*u**3 - g*u**3 - 5*g - 13*k**2*u**2 + 33*u**2 wrt u?\nAnswer: -12126*g*k**2 - 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2 - 180*r.\nAnswer: -r*(r + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-6*(-3*(sqrt(19) - (sqrt(931) + 1)) + -5).\nAnswer: -108*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 198 - 198 + 182*w as m*w + r and give m.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of 4*p**3\/3 - p**2 + 2*p. Suppose 42*l + 35 = 47*l. Let m be 8\/32 + 52\/(-16). Let k(w) = 4*w - 1. Determine l*k(d) + m*u(d).\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2825\/4 + (-80)\/64?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 39 + (-3)\/2 + (-12)\/(-8). What is c rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*d**2 + 144*d + 141*d - 8*d**3 - 286*d - 10*d**3 as u + t*d**2 + h*d**3 + q*d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -316 - -34. Let f = z - -177. Let o = f - -116. Which is the nearest to -0.1?  (a) o  (b) 0.3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-20)\/16 - (-1)\/4. Let l(s) = -4*s + 1. Let p be l(t). Which is the third smallest value?  (a) 2\/11  (b) 2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand w**5 - 26*w**2 + 2273*w**3 - 2273*w**3 - 6*w**4 - 9*w**5 + 6*w**4 + (w**4 + 4*w**4 - 3*w**4)*(4*w - 3*w + 0*w).\nAnswer: -6*w**5 - 26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2654, 2652, 2650, 2648?\n\"Answer: -2*g + 2656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 102 - 21. Let a = -32 - r. Let i = -5 - a. Solve -2*u - j - 3 = 0, -u + 5*u + 4*j + 12 = i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -3*l**3 + 33*l**2 + l - 16. Let k(h) = -h**3 + 11*h**2 - 5. Let c(f) = -7*k(f) + 2*t(f). What is c(11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a - 2 - a**3 + 2*a**4 + 14*a**3 + a - 5*a**3 + 27*a**2 as n*a**2 + k*a + x*a**3 + u*a**4 + i and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2262049 by -2262049.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 2*p = -313 - 38, -p = 3*m - 204. Let t = -40 - -45. Suppose 2*s = t*k - m, s + 24 = 2*k - s. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q = -4*q, 5 = -5*z + q. What is the closest to 2\/5 in 3, 1\/4, -4, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*c + 151 - 151 in the form i + f*c and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 500, -1, 2, 4 in ascending order.\nAnswer: -1, 2, 4, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**3 + k**2 + 3*k - 2. Suppose 5*u - 79 = -h, -3*h + 199 = 4*u - 16. Let c = 70 - h. Let w be z(c). Solve w*p - 5 = 5*m, p = 5*m - 0 + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(143)*-2 - sqrt(143)) + sqrt(143))*2*1*6)\/(((sqrt(77)\/(sqrt(7)*-1) - sqrt(11)) + sqrt(176)*-2)*-3))**2.\nAnswer: 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 128286 and 1494?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -19*a + 83. Solve -d + 3 = 0, -4*b - a*d = -d - 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2448 or 2047?\nAnswer: 2448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 6*(-7)\/(-42)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10 is divided by (2\/2)\/((-6)\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 13 from -21284.\nAnswer: -21297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3383*f - 406568 + 24289 for f.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of 7*p**5\/5 + 2*p**3\/3 - 43*p**2\/2 - 94. Find the second derivative of t(n) wrt n.\nAnswer: 84*n**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of -55*k**4\/24 - 3*k**2. Is o(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {w: 1, u: 1, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1349)\/(-355) - (-8)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -38, 0.4, 0.21787?\nAnswer: 0.21787","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27*729\/(-1161) - -17.\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0\/(-3))\/2*1\/(-2). Let a be 4\/(-8) + (-1)\/2. Let p = -1 + a. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 521997284 to the power of 1\/3, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 4384 a factor of 899313522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 - 98*c**2 + 844*c - 434. Calculate d(-106).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 221533361 to the power of 1\/2, to the nearest integer?\nAnswer: 14884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 - -2. Let l = -0.612 - 63.588. Let x = -64 - l. What is the closest to n in x, 5\/2, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(0 + sqrt(153))**2*-6.\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add -23140212 and 8712231.\nAnswer: -14427981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 + 11000010?\nAnswer: 10111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 77.99999652 + -78. What is u rounded to seven dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*3\/((-9)\/11). Suppose -2 = -i, 4*m + i = -3*i + 8. Let t(h) = h**3 - h**2 + 44. Let z be t(m). What is the highest common factor of z and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3204 divided by -17.\nAnswer: 3204\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 29327640 by -8664.\nAnswer: -3385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -754 - 11?\nAnswer: -765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 1 = 2*r, k - 2*r - 3739 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -64*j + 1856. Let v be l(29). Solve v = 3*q, 13*h = 15*h + 3*q - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 8\/699?\nAnswer: 8\/699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 - 20*k**2 - 47*k + 65. Let f be s(22). Which is greater: f or -3\/127?\nAnswer: -3\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of -1\/240*y**6 - 254*y**2 + 0*y**3 - 3\/8*y**4 + 19\/120*y**5 + 0*y + 0. Find p, given that u(p) = 0.\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -286*x**3 + 878*x**3 + 1110*x**3 + 274*x - 147*x**3 wrt x.\nAnswer: 9330*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 0*r - 3895 = -5*r, 1557 = -2*v + 3*r. Is 4\/6*v\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 17 = -2*w, -28*w - 42 = -33*w - 3*t. Suppose -4173 - 3792 = -w*r. List the prime factors of r.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12809.\nAnswer: 12809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 1908*p. Let w(g) = -957*g. Determine 4*t(k) + 9*w(k).\nAnswer: -981*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1284, 1283, 1282, 1281?\n\"Answer: -x + 1285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 312, 1239, 2754, 4845, 7500, 10707?\nAnswer: 14454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h - 7. Let p(b) = b**3 + 3*b**2 - 2*b + 3. Let x be p(-4). Let w be z(x). Calculate the remainder when 13 is divided by 3 + (w - -3) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1725 + 873. Let c = w - -1415. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3826 is divided by 1076?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1*sqrt(1377)*-3 + 3)*-3*-2.\nAnswer: 20 + 162*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the third derivative of g**8\/84 + 8*g**7\/105 + 2*g**6\/15 - 10*g**2. Let r(f) = 0. Calculate f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (145\/29)\/((-3)\/((-1)\/(-1))).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -33 - -33.2. Put 3, 0.4, 1\/3, o in increasing order.\nAnswer: o, 1\/3, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(108))\/sqrt(9))\/(sqrt(4) - (sqrt(4) + (sqrt(20) + (sqrt(180) - sqrt(20)))\/sqrt(5))) + 2)**2.\nAnswer: -8*sqrt(3)\/3 + 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 + x - 1. Suppose -35*s - 90 + 55 = 0. Let w(m) = 5*m**2 - 5. Determine s*w(c) + 2*r(c).\nAnswer: -3*c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 840 = 150*o - 510 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -645361, 2\/3, -110?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 460337*-4.59\nAnswer: -2112946.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/36)\/(7 - 165\/24)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*a**2*o - 388*a**2 - 15*a*o - 5*a + 28*o wrt a?\nAnswer: 6*o - 776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 + 3*j**2 + j + 2. Let i be z(3). Suppose 5*w + 7*x = 2*x + 55, 0 = -5*w + x + 25. Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 1692 - 156 = 0. List the prime factors of k.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2192917*o*z - 1888229*o wrt z?\nAnswer: 2192917*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + -8)*(-30)\/20. Let q be 1\/((-9)\/k)*-6. Suppose 0 = -2*c + 4*c - 40. What is the greatest common factor of q and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-111360)\/(-18) + 2\/(-3). Is s*(-4)\/(-12)*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + 0 - sqrt(76))*3)**2 + -2 + sqrt(76)*-1 + sqrt(76).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 12 = 0, 3*w + 1 = -3*u + 4. Solve 4*k + 16 = -w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -116*p**2 + 456*p + 32.\nAnswer: -4*(p - 4)*(29*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 74\/44 - (64\/(-11) - (-13 + 7)). Factor 9 - j*u**2 - 3\/2*u.\nAnswer: -3*(u - 2)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1764307409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35360 and 408?\nAnswer: 106080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 514*j + 31485 - 141548 = 5326*j + 63169 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 3)*(2*f**2 - f**2 + f**2) + 0*f**2 + f**2 + 0*f**2 + (-2 - 2*f + 2)*(f + 3*f - 5*f) - 3*f**2 - 3*f**2 + 3*f**2 + 30*f**2 - 16*f**2 + 13*f**2.\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -z - 6. Let v be -3*4\/z*3. Solve -g + 2*g + v = 4*t, -2*g = -4*t + 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 454.2882 to the nearest integer.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -17008578*p**3 + 7*p - 448291 wrt p?\nAnswer: -102051468*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -r**3*u**2 + 14*r**2 - 36*u**2 with respect to r.\nAnswer: -3*r**2*u**2 + 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 270481985.\nAnswer: 5, 17, 29, 197, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = w - 5*v + 23, 0 = 4*w - 3*v + 16. Let g be (w + -9)*(-1)\/2. Find the third derivative of 3*j**5 - 2*j**5 - g*j**2 - 4*j**2 wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -9*t - 7. Let g(a) = 1348*a + 35. Let d(s) = 246*s + 7. Let p(r) = 11*d(r) - 2*g(r). Give 3*p(w) + 4*z(w).\nAnswer: -6*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16\/65 + 4159\/260. Let f be ((-27)\/(-2))\/(4\/8). Find the common denominator of g and 18\/(-15)*(-10)\/f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*f + 10 = -57*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 4*o**2 - 423*o - 2133. What is z(-5)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 42*s + 2399. Does 43 divide i(92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -3*v + 2. Suppose -v*h = -h - 4. Suppose -3*y = 2*y + h*b - 22, -3*y - 5*b + 21 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*a + 2*r + 74, 3*r + 249 - 70 = -6*a + a for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -714.6 + 715. Let x = -7786\/3 + 2595. Let n(r) = 2*r**2 + r. Let g be n(2). What is the smallest value in w, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 6, s: 10, t: 2, v: 2}. What is prob of picking 2 c?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (5372\/(-112))\/(-17) + -3. Let k(j) = -j**3 + 5*j**2 + 1. Let r be k(5). Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7065\/1570*(-28)\/90\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -2800 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -43*p**3 - 87*p**3 + 123*p**3 + p**3 + p**3 - 3*p**3 - 2*p**3 + 4*p**3 - 3*p**3 + 2*p**3 - 2*p**3 + p**3 + (4*p + 0*p - 3*p)*(-p**2 + 2*p**2 + p**2).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (6*(sqrt(144) + sqrt(144)*2)*-2)\/((-6*(sqrt(88) + sqrt(88)*1))\/(3*sqrt(99))).\nAnswer: 3 + 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qxxzqxqxqqxxxyiqzxxq. Give prob of sequence xxyx.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1116762.\nAnswer: 2, 3, 373, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1978192 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 7*j**2 + 5*j + 1. Let z(f) = 6*f**2 + 4*f + 1. Let y(w) = -w**3 + 7*w**2 - 5. Suppose -43 + 8 = -5*l. Let g be y(l). Calculate g*z(v) + 4*m(v).\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -126*j + 114*j + 192. Let p be (-6)\/15 - (-7)\/5. What is the first derivative of -p + j - 15*t - 5 wrt t?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -116, -959, -3254, -7727, -15104, -26111?\n\"Answer: -121*d**3 + 4*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xjjjrxrjjjjjxgjx. Give prob of picking 1 g and 1 j.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 767749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express q**2 - q - q**3 + 6*q**3 - 2*q**3 + (-43*q + 43*q - 18*q**2)*(-q - 4*q + 4*q) + 0*q**3 - q**3 + 3*q**3 in the form j*q**2 + h + v*q + c*q**3 and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103 is divided by -1*(3 - 1) + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - 4. Let z be 1602\/(-5565) - t\/7. Let a = -179927\/3710 + z. What is the common denominator of a and 25\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5985 by 665.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*s**4 + 23*s**3 - 6*s - 15 wrt s?\nAnswer: 24*s**2 + 138*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 + 10*j**2 - j + 1. Let s be o(10). Let h(a) = a**3 + 9*a**2 - a - 10. Let y be h(s). Let l(d) = -d. Give l(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8953 is divided by 639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + 486 + -452 + 2 + 1.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = z - 6*n - 415, 1300 = 3*z - 4*n. Let u = z + -441. Suppose -3*t - 21 = -6. Put t, u, 5, -3 in ascending order.\nAnswer: t, -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 5*x = 4. Suppose 0 = -x*p - 3*d + 4, 2*p + d = -0*p + 2. Solve -5*m - 4*v + 0 = p, -9 = 4*m - 5*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2183950 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (82 - 35 - 41)*(82*u + 2 + 35*u - 71*u) as c + s*u and give s.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -6*a**3 - 10*a**2 - 7*a + 4*a**3 + a**3 + 25. Suppose 702 = -120*t + 42*t. What is the units digit of x(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 11:24 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -230*d**2*r**2 + d**2*r - 370*d**2 + 3*d*r**2 + 47*d*r + 23*d - 17*r + 3 wrt d.\nAnswer: -460*r**2 + 2*r - 740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 30 = 5*w, 9 = 2*f - 4*w - 3. Solve f*o - 2*o = -16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 113*u**2 + 2392*u. Let a(m) = 2*m**2. Calculate y(a(f)).\nAnswer: 452*f**4 + 4784*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 26*t - 21*t - 11 = 0, 0 = -4*p + 4*t + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 40616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 13, e: 6}. Give prob of sequence ee.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 114808 less than or equal to 114807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*o - 60 - 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 3014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 21 = -5*g + 9, -3*o + 68 = -4*g. Suppose -4*y + m + 46 = -117, 4*m = 4*y - 172. What is the lowest common multiple of o and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-129140)\/(-70180) + 142\/2059\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -0*g - 4*y - 22, 0 = -2*y - 10. Let o be 1040\/180 - g\/(-9). Is 20\/3 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -4.3 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2.9 - 1.9. Let x(j) = -j**3 + 5*j**2 + 5*j + 6. Let s be x(6). What is the closest to o in 5, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 41 - 15. Suppose -2*f + 4*c + p = 0, 8*f - 5*f = 3*c + 48. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.69 minus 35282415?\nAnswer: -35282376.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 70?  (a) 9  (b) 7.4  (c) -0.08  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -371.8 - -372.09531. Round u to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 339 and 365655?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.9  (b) 1  (c) 2  (d) -0.6  (e) -0.02  (f) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 31*x + 904. Calculate y(-24).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of -c**2 + 5. Let l(r) = 2*r. Calculate l(i(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u + 1. Let a be ((-6)\/4)\/(8\/(-16)). Calculate q(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.5 + 0.7. What is the closest to m in -3\/2, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**5\/20 - c**4\/4 + c**3\/2 + 3*c**2 - 33*c. Suppose -6*k + 2*k - 16 = 0. What is the tens digit of v(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -8849, -8225, -7601, -6977, -6353?\n\"Answer: 624*d - 9473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 52 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 3182.338 decades?\nAnswer: 318.2338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -2 + -3 - (-7 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -4*l - 47, -4*l - 23 - 39 = -2*h. Let a = l + 23. Let j = 24 - 23. Solve 4*z - a*u = -24, 5*z + 12 = 2*u - j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -151.27779 to the nearest integer.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 + -11. Let w be o*(12\/(-4))\/3. Let k be 0\/w - 16\/(-4). Sort 2, -3\/5, k in decreasing order.\nAnswer: k, 2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 9 = 5*v, -v = 2*p - 0*v - 6. Solve 2*n + p*n = -4*r + 29, 3*r + 4*n = 23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.21 + 0.03. Let s = -0.68 - y. Which is the smallest value?  (a) s  (b) 1  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158*b + 2198 = 172*b. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -60 (base 15) to base 16.\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**3\/4 + 21*n**2\/2 - 183*n\/4 + 63.\nAnswer: -3*(n - 7)*(n - 4)*(n - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -271501, -271498, -271491, -271480, -271465, -271446?\n\"Answer: 2*i**2 - 3*i - 271500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 3*y**2. Let s(n) be the first derivative of 5*n**5\/24 + 32*n**3\/3 + 12. Let i(q) be the third derivative of s(q). Give i(m(z)).\nAnswer: 75*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 202 = 7*t + 258. Let v be (t - (-44)\/4) + 16\/(-2). What is the fourth smallest value in 4, v, 2\/19, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s - 4*s**2 - 2 + 0 - 1 - s**3 - 3*s. Let u be d(-2). Let t(j) = 2*j - 2. Let n(x) = 5*x - 4. What is u*n(y) + 7*t(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-45))\/((-38)\/(-190))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 15 - 12 - (4 - 3) - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -13. Let l(b) = 11*b - 6. Suppose 2*h = -0*h + k + 5, 1 = h - k. What is the remainder when l(h) is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -26*q - 138. Calculate j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 25.5, 0.04, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -5*t - 17, 0 = -s + t - 2*t - 1. List the prime factors of 495 + 0 + -6 + s.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (-11 - (3 - 3)) - 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 188197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 4*s - 70 = -q, 4*q - 4*s - 156 = 0. Suppose 0 = 5*j + 74*b - 79*b - 40, b = 2*j - 22. Calculate the remainder when q is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 110*w + 9127. Determine r(-83).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -53247.56 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (1 + 5 + -2) - (-61 - (-10 - -13))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4363*t = -4*d + 4367*t + 24, -t + 21 = 2*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 1587380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11111100100111111010101 (base 2) to base 10.\nAnswer: 8277973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*j - 5*j + 3*j to the form x*j + p and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 106075788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 - -6. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z + 5. Let v be w(-5). Let a(u) = 2*u**3 - 3*u**2 + u - 1. Let g be a(2). Suppose -g*q = -2*s - 5 - 7, 2*q = s + 5. Solve -2 = -q*n - v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 3, -17\/3, 0.3, -4\/9, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 1. What is the nearest to 0.1 in 2\/9, w, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8.017 - 8.020259. Round j to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*q - 25944 = -258*q - 163*q for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 485 and 8633.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 34 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 21897 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1518\/(-5)*(-1126)\/(-14). Let g = 24420 + n. Let c = -16\/7 + g. What is the second biggest value in 0.2, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 103384\/361893 - -2\/51699. Factor -18\/7 + 18\/7*h + r*h**2 - 2\/7*h**3.\nAnswer: -2*(h - 3)*(h - 1)*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 4*s - 12, 58*c + 12 = 62*c - 4*s. Find the third derivative of 4999*k**5 + 205*k**2 - 5256*k**5 - c*k**4 + 3*k**4 wrt k.\nAnswer: -15420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -3*m + 1. Let p be l(-1). Suppose p*r - c + 3 = 2*c, -4*c = 5*r - 4. Put r, 4, -1 in descending order.\nAnswer: 4, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 + -2 - 6 - (-4 + 4)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2617215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 7) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 325091 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s - 148 = 48. Let t(b) = -6*b**3 - 16*b**2 - 33*b + 27. Let y(i) = i**3 + 2*i + 1. Let n(p) = s*y(p) + 2*t(p). Factor n(l).\nAnswer: 2*(l - 17)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 + -14. Suppose -d - 2*d - 12 = n. Let t = -3 - d. Is t >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1355 - -1354.88266. Round w to three dps.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2 + 20*o - o**2 + 2*o**2 + 0*o.\nAnswer: 5*o*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**3 + 14*n**3 - 23*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4068713870 + -0.092.\nAnswer: 4068713869.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -621\/5*y - 31 - 469\/5*y**2 - 3\/5*y**3 = 0.\nAnswer: -155, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -7. Let o = -640 + 641. Are i and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + -5b6?\nAnswer: -5b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 24156416 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19 - -57. Suppose 4*n + 134 + y = 0. Let b = -33 - n. Solve -3*t - 2*t - 25 = -3*x, -2*t = 5*x + b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 + 9*i**2 + 10*i + 19. Let w be (-4)\/(12\/3 - (3 + 2)). Suppose 0 = w*n - n + 24. Let h be f(n). Solve h*z - 4*z = 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13174*m - 6110*m + 416776 = 0 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 24 + 67?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 68891.8729 - 68895. What is g rounded to 1 dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 2021 = 6*z + 2741 for z.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + 1853\/136 + 0\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 15) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 23*r + 73. Let t be v(-8). Let j = 120 + t. Solve p + 2*p - 2*c = -j, 0 = 3*p + 2*c - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -69, 56, 7, 0.4 in ascending order.\nAnswer: -69, 0.4, 7, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 12. Let t = -1.57 - -1.57. Which is the nearest to -0.1?  (a) t  (b) -0.5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19 - -55. Let x = 40 - n. Suppose -2*l + x*s = -18, s + 16 = 4*l + 3*s. Solve l*i - 7 - 3 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l. Let m(y) = 892929*y. Calculate c(m(p)).\nAnswer: -892929*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 5*o - 51 = 0. Suppose 2*n - 3*n = -o. Suppose -44*v = -43*v - 5. What is the remainder when n is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1454 - 10159\/7. What is the common denominator of y and 25\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-120)\/(-18) + 2\/(-3). Calculate the least common multiple of ((8\/d)\/2)\/((-25)\/(-15450)) and 8.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 514255177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00103436 rounded to 5 decimal places?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -50, -73, -96?\n\"Answer: -23*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -96395675 and -1590385.\nAnswer: -97986060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 2*q + q. Suppose 3*i = q*i - 2. Differentiate 3*j**2 - i + 5*j - 6*j + j wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xal when three letters picked without replacement from {n: 1, l: 2, b: 1, x: 2, a: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**3 - 2*u + 118. Let g be q(0). Let a be 9 + -5 + 2*g. Suppose -j - 4*j + a = 0. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 5, 0.1, -4, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 11) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of -1\/2*n**2 + 1\/24*n**4 + 0 - n + 0*n**3. Let h(u) be the first derivative of y(u). Let d(m) = 2*m. Give h(d(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -1, 14, 35, 62?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**2 - 948*d - 1908 = 0. Calculate d.\nAnswer: -2, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 30*j**2. Let f(n) = -308*n**2 + 8*n. Give f(w(c)).\nAnswer: -277200*c**4 + 240*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 3 + (sqrt(72))**2*4.\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 - -6. Find the common denominator of f and ((-126)\/(-240))\/(550\/136 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5497 and 451471?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 - 1\/4*b + 0*b**2 + 1\/4*b**3 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.52956241 times -0.4?\nAnswer: 1.011824964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 7*f**3 - 37*f**2 - 13*f + 8. Give l(5).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -412*r = -207*r - 206*r - 24 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -806 + 869. Let s = 95 - 157.5. Let o = h + s. Which is the closest to -2\/3?  (a) -4  (b) o  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 81, 5, -3556, 3 in decreasing order.\nAnswer: 81, 5, 3, -3556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 342193.\nAnswer: 17, 20129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2245 - -2?\nAnswer: -2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q**3 - 5*q**2 + 6*q**3 - 4*q**3.\nAnswer: -2*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, d: 7}. What is prob of picking 1 e and 2 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 63 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnxxnx. What is prob of picking 1 x and 3 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3032552 + -12?\nAnswer: 3032540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 8*w**2 + 495*w - 5043. What is m(-70)?\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -2*w**3 - w**2 - w - 1. Let u be k(-1). Let p = u - -5. What is the highest common factor of p and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 9*l**2 + l - 1. Let f be c(1). What is the remainder when 97 is divided by (-13)\/(f\/2 - 5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = 3*o - 3*r + 2*r, 3*r + 125 = 5*o. Solve -2*x + 5*x + 2*w = 19, -w + o = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (((sqrt(231) - sqrt(231)*2 - sqrt(231))*-3)\/sqrt(7))\/(sqrt(3) + (sqrt(48) - sqrt(192)\/sqrt(4)) + 6*sqrt(9)\/sqrt(3)).\nAnswer: 6*sqrt(11)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in 0.5, 7, 4.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 842514860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - m**2 + 2*m + 140. Let w be b(0). Calculate the highest common factor of w and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -4*r + 1. Let j(i) be the third derivative of 3*i**4\/8 - i**3\/2 - i**2 - 1. Calculate -5*c(h) - 2*j(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 AM and 10:37 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 + 26. Let h(v) = -v**3 + 4*v**2 - 3*v - 2. What is h(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*l + 12 = -100. Suppose 5094 = l*n - 324. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 543*k**3 - 294*k**3 - 256*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 + 8*f. Let y(m) = 12*m - 5. Let g(d) = 17*d - 7. Let h(t) = -5*g(t) + 7*y(t). Let a(q) = 26*q**2 - 3*q + 1. Let b be a(1). Give b*h(v) + 3*c(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**2 - 2*f + 181. What is the hundreds digit of i(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -32\/7  (b) -2\/15  (c) -1\/10  (d) 0.42  (e) 0  (f) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 565 and 314479?\nAnswer: 1572395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12321 - 5?\nAnswer: -12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1409*a**2 + 1586*a**2 - 115*a**2 + 1870*a**2 + 1869*a**2 to n + w*a + z*a**2 and give z.\nAnswer: 3801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -7*b**2 - 75*b + 217. What is s(-21)?\nAnswer: -1295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 770\/31 or 1?\nAnswer: 770\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of o**5\/30 + 23*o**2 + 35*o. Let a(d) be the first derivative of l(d). Let c(z) = 3*z + 3. What is c(a(i))?\nAnswer: 6*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*u**4 + 1195*u**3 - 866 wrt u.\nAnswer: 8*u**3 + 3585*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 352\/75 + -84\/25. Find v such that 2\/3*v**2 - 2*v + t = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185*u + 242 = -313. Let d(i) be the first derivative of 2\/3*i**u + 8 - 2*i - 1\/2*i**4 + i**2. Determine d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56099?\nAnswer: 56099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*c = -84*c + 1160224. What are the prime factors of c?\nAnswer: 2, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 372 - 15*u + 3166 - 19*u**2 - 507 with respect to u.\nAnswer: -38*u - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) 2486  (b) 1\/4  (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 4 = 4*m, 40*h = 41*h + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(88) + sqrt(88)*-1 + sqrt(88) - sqrt(88)) + sqrt(88) - sqrt(88))*5 - sqrt(88))\/(sqrt(968) - sqrt(968)*-2))**2.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-1\/3)*n)**(6\/7))**(1\/4))**(-42) assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of -9*n**8\/28 + n**4\/3 + 10*n. Find the third derivative of m(q) wrt q.\nAnswer: -2160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 563239151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(30)\/(sqrt(2) + (sqrt(2) - (sqrt(2) - sqrt(32))) + sqrt(2)))\/sqrt(3).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or 1.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(405)*-1 + (sqrt(5) - sqrt(20)*4).\nAnswer: -16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eoe when three letters picked without replacement from oooeeooooooo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 66083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 209584743?\nAnswer: 3, 41, 1703941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -17 - -21. Suppose -o + v*o - 9 = 0. Suppose 29 = 2*m - 3*g, 0 = -m - o*m - 2*g + 66. What is the remainder when 30 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -16*x**3 - 145*x**2 - 11*x - 14. Calculate d(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209495888.\nAnswer: 2, 7, 1870499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 - t + 1. Let a(i) = i. Let c(d) = -d**2 + 4*d + 2. Let p = 13 - 9. Let j be c(p). What is j*a(q) + 2*r(q)?\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 10459.85 nanoseconds?\nAnswer: 0.00001045985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*l + 2*l + 12*l - 20*l + 7*l + 22.\nAnswer: 4*l + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 193 = 10*h - 57. Solve k + h = 6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -5*p + 35, p - c - 7 = -0*p. Suppose -13 + 3 = -2*d - h, 0 = -3*h + 12. Solve -5*k - m - 11 = 0, -m + p = d*k + 3*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 327 + 45. List the prime factors of b.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1\/18 + -4\/9. Let y = -114 + 66. Let k = y + 48.05. Which is the second smallest value?  (a) l  (b) k  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or -455194?\nAnswer: -455194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add 35994 and 1.\nAnswer: 35995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2*d - 8. What is the units digit of v(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 493 is divided by 242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, l: 4, e: 1, d: 1, m: 2}. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 931 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -4, -36, 5 in increasing order.\nAnswer: -36, -4, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/19  (b) 5  (c) -127\/5  (d) 0.09  (e) -95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 236*q - 2523. Calculate r(10).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32979336 and 174746.\nAnswer: 362772696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 - 11. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/155, 6818, -0.5, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 497 - 209. Let a = -3 - 52. Let y = k + a. List the prime factors of y.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5.051 times 64\nAnswer: -323.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -137811*o - 1676. Is k(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/2)\/(-3*(-2)\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**2 + c - 18. Let i be u(-5). Solve -4*l + 2 = -m - i*l, 2*m - 5*l + 3 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l + 20, -31 = 5*w - 2*w + 5*l. Let h be (-5)\/(25\/65)*w. Suppose 0 = -c + 5*c - q - 179, -c + 4*q = -h. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -40*p + 28. Let u be f(-7). What is the greatest common factor of 28 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 4*z + 5*l, -l = 2*z - 0 + 6. Calculate the common denominator of (-6)\/z + (-195)\/12 + -1 and 28\/47.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.231 - -1.231. Let v = -369 + 374. What is the closest to 0.2 in 7, q, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7725.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 21 = 3*q, 28*t + q + 18 = 33*t. Let n be (-1 + 1)*(-2)\/(-4). Factor n*z + 2\/5*z**5 - 2\/5*z**4 - 4\/5*z**t + 0*z**2 + 0.\nAnswer: 2*z**3*(z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/349384440 and 163\/240.\nAnswer: 698768880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + 4*u - 7*u)*(6 - 4 - 3)*(-3*u + 3*u - 2*u**2).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14077122 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-22*b + 2 + b - 34*b)*(-4*b + 6*b + 0*b).\nAnswer: -110*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 624 = p + 4*z, 3*z = 4*p + 2404. Let m = p + 608. Which is the closest to -0.1?  (a) -1\/4  (b) -1  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 - (24\/52 + 1675\/1300)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/2 + 15\/6. Suppose 3*b = n - 12 - 7, 0 = b + u. Suppose 18 - n = 2*p. Calculate the remainder when p is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 337124\/3 or 112375?\nAnswer: 337124\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**2*p*p\/(p*p**(2\/3))*p**3\/p**(1\/7))\/((p*p*p**1)\/p**4*(p*(p**(-2\/3)\/p)\/p*p)\/((p*p\/(p\/(p\/(p\/p**(-2\/7)))*p*p*p*p))\/p)) assuming p is positive.\nAnswer: p**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + (-19)\/4 + 1. Find r, given that f*r**2 + 0 + 1\/4*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, -6, -13, -14, -3, 26, 79, 162?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 3*d**2 + 6*d + d**2 - d. Let m be w(-3). Suppose 6*s = 2 + 40. Calculate the highest common divisor of m and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1783985 at least as big as 1783999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 5*o - 96. Let g be m(23). Factor 14*y**4 - g*y**4 + 56*y**3 + 21*y**4 + 25*y**2 + 3*y.\nAnswer: y*(y + 3)*(4*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 136*z**2 + 124*z + 627. What is the remainder when r(-5) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -21, -47, 3, -2, 1, -16 in decreasing order.\nAnswer: 3, 1, -2, -16, -21, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*y = -14, y + 0*y = -4*z + 28. Let t be (891\/21)\/3 - z. What is the fourth smallest value in 3, 0, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 12457690.\nAnswer: -12457689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 433 + 10104442?\nAnswer: 10105315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*z**6 + 1486*z**3 - 2*z**2 + 17*z + 63 wrt z?\nAnswer: -840*z**3 + 8916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -3*v**2 + 11*v - 12. Let j be x(3). Let z(k) = k**2 + 3*k - 16. Let l be z(j). What is the fourth biggest value in l, 0.5, -1, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -b + 9. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 159834 from -1.\nAnswer: -159835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1545 a factor of 22346880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 71, 138, 215, 308, 423?\n\"Answer: m**3 - m**2 + 63*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -79  (b) -0.19  (c) -21\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v + 3*v + 2, 2*r = 4*v + 248. Suppose 111*k + 72 = r*k. Solve 2*s + 24 = k*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(100)*-3)\/sqrt(10))\/(2*sqrt(605)).\nAnswer: -3*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 49, 51, 77, 139, 249?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + -1 + -8 + -5 + 2 + 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 - (48\/264 - (-64)\/11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -67*t - 1. Let c be 5 - 4 - 6\/2. Is h(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.09 - 0.01. Let v = i - 0.9. Let k = 1 - 1. Which is the nearest to k?  (a) -1\/4  (b) -4\/5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1))**0*(l**(2\/5)\/l)**(-33) assuming l is positive.\nAnswer: l**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1239697439 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 26\/6 - 7\/21. Suppose v - 910 = -r*v. Suppose 0 = -5*l + z + 297, -5*z + v = 3*l + 15. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p*p*p**(-5\/9)*p*p*p*p\/(p\/((p\/(p*p**29\/p)*p)\/p))*p**17\/(p*p\/((p\/(p**(-14\/9)*p))\/p)) assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -5 + 5*(1 + sqrt(7)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2568 - ((0 - 0)*1)\/1. Suppose -347 - a = -5*w + 5*b, 5*w - 3*b - 2923 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*b - 228*b + 316*b.\nAnswer: 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/880 and -17\/30360.\nAnswer: 60720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 2:44 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 135 and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*i**2 - 16*i**2 + 8*i**4 + (-2*i**3 + 0*i**3 - 3*i**3)*(14*i + 10*i - 2*i).\nAnswer: -102*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/(-36)*(-14)\/3*6\/(-16).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31360\/4116*7\/15.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42096, 84223, 126350, 168477, 210604, 252731?\nAnswer: 294858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/10 or -5146142?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -875129, -874975, -874821, -874667, -874513, -874359?\n\"Answer: 154*a - 875283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.7*-0.04053.\nAnswer: -0.028371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-54)\/(-30))\/(3\/75) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(60)\/(sqrt(12)*-3) - -3*sqrt(5)*4) + -4*sqrt(405)\/sqrt(9)*-4 + 4.\nAnswer: 5 + 179*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 3, z: 8, h: 2, x: 1, u: 4, a: 2}. What is prob of sequence uhu?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -50 (base 12) to base 8\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -815 + 814.573. Let j = -119.973 - -120. Let b = q + j. What is the nearest to 1 in b, -3\/5, -1.9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q - 2*q**2 - 3*q)*(2*q**2 - 4*q**2 + 3*q**2) - q**4 - q**4 + 0*q**4 + 18*q**4 - 31*q**4 - 31*q**4.\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 - -285. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -762 = -3*o + 375. Let k = o + -2719. Is 26 a factor of ((-1)\/2)\/(15\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(243)*2 + 2)**2 + 1 + sqrt(48) + 3 + sqrt(30)\/(2*sqrt(10)).\nAnswer: -63*sqrt(3)\/2 + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(-14))*h*h**(-2\/31))\/(((h\/(h*h\/h**(2\/43)))\/h)\/(h**(-6)\/h)) assuming h is positive.\nAnswer: h**(13182\/1333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 60*t + 24*t - 1764. What is the greatest common divisor of t and 651?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1594*n - 398349 = 2474*n + 2349*n - 94*n for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -687 - -267. Round w to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of 71*v**8\/336 - 3*v**4\/8 + v**2 + 33*v. Find the second derivative of l(m) wrt m.\nAnswer: 1420*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 3*u**4\/7 - 99*u**3 + 53352*u**2\/7 - 1368912*u\/7 = 0?\nAnswer: 0, 76, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, 48.\nAnswer: -1, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*w - 2*w. Let m = -78157\/11 + 7107. Which is bigger: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -178\/20701 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59 - -293. Let t(a) = 3*a + 11. Let c be t(5). What is the highest common divisor of c and p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 910472657 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 393 and 42.\nAnswer: 5502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c = -11*o + 6*o - 11, -3 = o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46260 is divided by 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5117093942 + -2.2218.\nAnswer: -5117093944.2218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*k**2 + 98*k**2 - 32*k**2 - 32*k**2.\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 9:40 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h - 3. Let c be k(-7). Suppose 3*x - u - 2 = 0, -u = 3*x + c*u + 10. Suppose 12 = 2*t - x*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 50 - 47. Suppose -w*b + 19 + 47 = 0. Calculate the least common multiple of 32 and b.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 122 by 12972.\nAnswer: 61\/6486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 0.1, 5, 78 in descending order.\nAnswer: 78, 5, 0.1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**3 + 4*c**2 - 5*c - 11. Let y = 36 + -40. Let v be o(y). Solve -4*j - 1 = -v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 3*b - 41, x + 2*x = -4*b + 13. Suppose 2*m - 2*f = 6, -b*f + 2*f - 15 = 0. Let l be ((-8)\/3)\/(-4) - m. Put 5, 2, l in increasing order.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from klgg. What is prob of picking 2 g and 1 l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4435776212.\nAnswer: 2, 7, 158420579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*h + 4*h**2 - 16*h + (1 - h - 1)*(5*h - 3*h + 0*h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and 304723?\nAnswer: 152361.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 + 19. List the prime factors of a + 2*1\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8511313 and 0.2.\nAnswer: 1702262.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 320 + -224. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (((-48)\/4)\/3)\/(2\/(-4)). Solve 4*v - 1 = a, 4*v = 4*a - 0 - x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 AM and 8:18 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/5 - 71*x + 706\/5.\nAnswer: (x - 353)*(x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194*f = 195*f - 5159. Suppose d - 2*o = f, -3*o - 5139 = -d + 23. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 72 - 70. Suppose -4*w + 5*w = n. Suppose 0*k + w*f + 178 = 2*k, -2*f - 8 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9343*z + 3104*z + 2*z**3 + 3118*z + 0*z**3 + 3121*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 3 - (-8 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - 171\/(-90) - 84\/35.\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-6)\/((75\/4)\/5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179778504.\nAnswer: 2, 3, 7490771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/3 + (2 - 1). Suppose y + 9 = 3*g, -15*y - 5*g + 15 = -19*y. Suppose w - 2 = -2*l + 2*w, y = -4*l - 4*w - 8. Solve l = 3*k + v - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1ae1 (base 15) to base 7\nAnswer: -23005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 62*p - 37*p - 150 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1631 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -99*z + 720. Let n(x) = -20*x + 144. What is -2*j(y) + 11*n(y)?\nAnswer: -22*y + 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/15, -0.5, 23, -0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(-3) + (62 - (-7011)\/(-114))*(-2008)\/(-762).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*d**4 - 2 + 4*d**3 + 2*d**2 + 27 + 16*d**4 - 25*d**4 + 5 + d to the form m*d + q*d**4 + g*d**2 + j*d**3 + v and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 277730 is divided by 637.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.05 - 0. Let u be 11\/(2772\/(-18)) - 2\/21. Which is the closest to z?  (a) 4  (b) -2\/7  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vlnv when four letters picked without replacement from vvln.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-3 + (sqrt(396)*-1*3)\/((sqrt(100) + sqrt(100)*-4)*5))**2.\nAnswer: -18*sqrt(11)\/25 + 8849\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1563*b**6 + 21*b**2 + b + 5.\nAnswer: 187560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14 + -10. Calculate the smallest common multiple of 22 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1245463?\nAnswer: 29, 67, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 3*n = 3238, -2*n = 4*b + 545 - 13477. Suppose -4*l = -5*s + 3179, 5*s + 3*l = -25 + b. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2809309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1899262 is divided by 326?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11211 (base 3) to base 6.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.6106 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 650*i + 52. Let u be v(3). What is the highest common factor of u and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 27*k + 240. Let y be i(-9). Let s(z) = -32*z**3 - 3*z**2 + z - 1. List the prime factors of s(y).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 246 + 659. Let r = 20818\/23 - a. Is r greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -22*q + 9. What is r(-4)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from opfffddpvofddd. What is prob of sequence op?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 18 = -4*y, -3*k + 6*k - 1 = -y. Suppose -g + w + y = -2, -w + 3 = g. Solve g = 5*o - 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssvjsshvjajssasassv. What is prob of picking 2 j?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6753*c*u**5 - 7*c*u**3 - c*u + 4*u - 4733 wrt u.\nAnswer: -135060*c*u**3 - 42*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b**2 - 11*b - 6. Let w be q(-7). What are the prime factors of (3 - w*1) + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 4. Let g(s) = s**3 + 8*s**2 + 5*s - 9. Let l be g(-7). Suppose 2*x - 20 = l*k - x, 0 = 5*x - 25. Sort -0.3, k, c in decreasing order.\nAnswer: c, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -5*t - 79167, 0 = -3*k - 2*t - 550 + 79738. What is the highest common factor of k and 318?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/((-28)\/(-32517)) - 40\/140. Suppose -5*j - h = -5*m, -3*m - 4*j = -1195 - 1613. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the first derivative of s + 35\/2*s**2 - 3. Differentiate r(b) wrt b.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**2 + 168*i + 531 = 0 for i.\nAnswer: -3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11490)\/664888*72\/(-135).\nAnswer: 2\/217","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -3381\nAnswer: -1\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -138*a - 2280. Calculate n(-17).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -0.0477, 17, -3?\nAnswer: -0.0477","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -2*i**3 - 56*i**2 - 149*i + 17. Determine j(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28128, -28458, -28800, -29154, -29520, -29898?\nAnswer: -30288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 6201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 3*r + 6*r. Let m be -4 - (-3 - r - 65). Suppose 22*f = 24*f - m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - s - 9 = -v, -s + 2 = 0. Find the third derivative of -v - 3*t**2 + 5*t**2 - t**4 + 226*t**5 - 240*t**5 wrt t.\nAnswer: -840*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 185, 746, 1681, 2990, 4673, 6730, 9161?\n\"Answer: 187*w**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 - 1. Let p(c) = 2*c**2 + 2*c - 1. Let g = -2 - -3. Let s(t) = g*u(t) - p(t). Let h be s(3). Solve h*o - o - z = -14, -o + z - 9 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 + (6 - 23) + 5 - -14?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83*y = 86*y - 6. Suppose 0 = -y*t + 16 + 2. Let c(i) = -i**2 + 11*i - 14. Let w be c(t). Solve w*o - 5*o = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 38115 = -5*u, 2*u - 37*p + 36*p = 15225. Does 32 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2608 - 5?\nAnswer: -2610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.37 and 0.0688?\nAnswer: -0.025456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 57 in 0.1, 0.5, -2\/5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*j - 1793 = 8*j + 148*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0076925 to 5 decimal places.\nAnswer: 0.00769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 2\/5*o**3 + 78\/5*o**2 + 0*o.\nAnswer: 2*o**2*(o + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-4)*((-30)\/(-285) - (70\/133)\/10).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 675 divided by 15.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 131425 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 40578?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 173152644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -2\/89  (c) -2\/7  (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 187 = 87*u - 104*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 12.6.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1603319644 to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.0467 + -0.0467. Which is the second smallest value?  (a) r  (b) 4  (c) -2\/9  (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.02  (b) -15  (c) -1  (d) -2\/11  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54126148?\nAnswer: 2, 2357, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10328635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7779850.\nAnswer: 2, 5, 13, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 15*b + 32. What is the tens digit of h(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.3  (b) -2.1  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u**2 - u**2 + 2*u**2 + u**3)*(u - 5*u + 0*u) + (3*u**2 - 4*u**2 + 4*u**2)*(17*u**2 + 0*u**2 - 4*u**2).\nAnswer: 35*u**4 - 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-43698)\/(-8))\/(45\/60) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuiu when four letters picked without replacement from uuuuuuuuuuuuuuuuiu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 77380 times -43?\nAnswer: -3327340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/8908 and 3\/119.\nAnswer: 62356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 5:32 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, o: 3}. What is prob of sequence oi?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -28?  (a) -0.3  (b) 0.2  (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2056)\/(-14) + 456\/3192. Solve 151*v - o*v + 24 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -207*g + 30*g - 14 = -14. What is q in g*q + 4\/9*q**3 + 0*q**2 - 4\/9*q**4 + 0 + 1\/9*q**5 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/3 - 32*y**2\/3 + 34*y\/3.\nAnswer: -2*y*(y - 1)*(y + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6392.45 + 1.984062.\nAnswer: -6390.465938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 take away 8976789633?\nAnswer: -8976789631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*s**3 - 2)*(-1 + 4 - 1) + 6*s**3 - s + s + 1 + s**3 - 1 + (-2*s + 2*s + 2*s**2)*(-85 + 85 - 9*s).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - -21. Suppose 4*l = 2*f + y, 0 = 5*l + 3*f + f + 20. Suppose -14 = -2*q - l*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26145*d**3 + 10*d**2 - 104580*d - 40 = 0. Calculate d.\nAnswer: -2, -2\/5229, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 19*l**2 - 2*l - 1. Determine n(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/((-1080)\/16) + (-146)\/(-30) + -3. Put -0.29, 1, x in descending order.\nAnswer: x, 1, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 57\/(-1216)*12*4\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -2361  (b) 1\/4  (c) 2  (d) 4  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4 and -2321.\nAnswer: -2317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4*t**2 + 7*t - 11. Let w be b(5). Let g = 61 + w. What are the prime factors of g?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/10)\/(9\/2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + -6. Suppose 3*i = 5*k - 10, i = x*k - 5*k + 2. Solve -k*r = -11 + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of -46 + 1\/2*o**2 - 9*o. Give v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.04*-4\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**3 - 3208*q**2 - 3430421*q - 1222754270 = 0.\nAnswer: -1070, -1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -38*a + 27*a. Calculate the common denominator of 29\/78 and 3401\/(-570) - (a - (-1)\/(-1)).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 91*u + 5. Let b(m) = 200*m + 7. Let g(p) = -7*b(p) + 15*t(p). Determine g(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39074 is divided by 13002?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**3 - p**2 - 5*p - 3. Is 6 a factor of t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02581487948 to four decimal places.\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + -2313?\nAnswer: -2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -13.7 and -58594845617.3.\nAnswer: -58594845631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10  (b) 1  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4144, 4152, 4160, 4168?\n\"Answer: 8*f + 4136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 - -5. Let i = c - -10. Solve i = -4*t + t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/4)\/(672\/2560*(-10)\/(-56)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h**3 + 18*h**2 - 4*h - 26. What is the smallest common multiple of 11 and z(8)?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 0. Let g = 7 - p. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zfe when three letters picked without replacement from {e: 8, f: 1, z: 8}.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 901 + -11629. Are -10729 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/3 - 16\/12. Let s(p) = p**3 - p**2 + 2*p - 25. Let t be s(l). What is the units digit of (-2)\/(-5)*t\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 16*h**2 + 9*h + 18. Suppose -11*n = -14*n. Suppose c + 12 - 4 = n. Let y be l(c). Round y to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 4 = -n. Let z(m) = 0*m - 7*m**2 - 3*m**2 - 5*m + 2 + n*m**2. Let l be -5*(3 - -1)\/4. Let y(c) = 4*c**2 + 3*c - 1. Determine l*z(h) - 8*y(h).\nAnswer: -2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 43*b**2 + 43*b + 473. Let p be c(-8). Do 2878 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 o, 1 z, and 1 u when four letters picked without replacement from {o: 2, z: 1, s: 5, u: 1, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7716 (base 9) in base 3?\nAnswer: 21210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(52) - sqrt(208))*-1)\/(sqrt(4) + (sqrt(12)\/sqrt(3)*3 - sqrt(4))) + -3)**2.\nAnswer: -2*sqrt(13) + 94\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0390636 * 0.2.\nAnswer: 0.00781272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*9 - -1 - (-1986 + -5349).\nAnswer: 5, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 13*k + 566. Calculate p(-45).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 11. Suppose u - 3 = 4*j, 2 = r*u - 4*j + 12. Let q be ((-1)\/4)\/(u\/(-39)). Sort 0.5, q, 3 in decreasing order.\nAnswer: 3, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - ((-140)\/50 - 8\/(-10)). Let o(h) = -h**3 + 4*h**2 + 3*h + 3. Calculate the remainder when 55 is divided by o(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52900, 52899, 52898, 52897, 52896?\nAnswer: 52895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, -4, 20, 0.588523?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 163 - 161.53. Let r = l + -1.4777. Round r to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 18\/15*(-4 + -1). Let j be ((-63)\/z)\/(27\/(-571)). Let v = j + 457\/2. Calculate the common denominator of v and -25\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52) + -2 + (sqrt(1300) + sqrt(1300) + 2)**2 + (4*(sqrt(13)*3 - sqrt(13))*2)**2.\nAnswer: 82*sqrt(13) + 8530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-2)*(-21 + 37). Suppose -h = s + 9, t*s + 5*h = 9*s - 9. Let v(b) = -b - 6. Give v(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27742 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -110883.5 to the nearest one hundred.\nAnswer: -110900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oopoopwwopwwwoowopoo. What is prob of sequence po?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from hhwwhhzxibzizwiii.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/(-6) + (-8)\/3. Let o(u) = 1. Let c(w) = w + 2. Determine v*c(a) + 3*o(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -90*t**2 - 21*t - 21. Let i(p) = -9*p**2 - 2*p - 2. What is -63*i(b) + 6*m(b)?\nAnswer: 27*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 17*b**2 + 115*b - 534. What is f(3)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 516852107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 45 - ((-3)\/3 - -1). What is the common denominator of (104\/20)\/((-12)\/t) and 57\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 177414000 rounded to the nearest one million?\nAnswer: 177000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, s: 2, z: 1, l: 1, b: 1, k: 1}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-15))\/(-2 - (-96)\/45)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/(1\/(1\/1)). Let k = z - -2. What is the closest to 1 in 2, 1\/2, k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -4*t + 2 - 2. Let y(l) = -6126 + 6126 - 2*l. Determine y(m(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 9 = -2*u. Differentiate 12*x**2 + 3*x**2 - 44*x**2 - 53 + 10*x**u with respect to x.\nAnswer: -38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 5*b = -3*b - 345, -230 = -2*k - 2*b. Suppose 5*g = d - 0*d + k, 2*d + 46 = 2*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -93 - -50 - -40 - (-8 - -2) - -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - 13. Let c(o) = -27*o**2 + 2*o - 1. Let i be c(1). Let n = y - i. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 19*h - 6. Let g be a(1). Suppose g*b - 97 - 59 = 0. Is 12 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 11 + 1. Let j = -3 + 0. Sort j, u, 1 in ascending order.\nAnswer: u, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/((z*z**(1\/8))\/z))\/(z\/z**(1\/9)))\/(z**(2\/11)\/z*z)**(-39) assuming z is positive.\nAnswer: z**(5605\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*r + 10*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 2*k - 8009 = -1667, 4*k + 19038 = 3*b. What are the prime factors of b?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x - 3*x - x**2)*(3*x - 2*x - 2*x) + 3*x**3 + 2*x**3 - 4*x**3 - x**3 - 4*x**2 + 2*x + 4*x**2 + 1.\nAnswer: x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -398.682.\nAnswer: 1993.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = -5*s - f, -2*s + 5*s = -5*f + 74. Let h = s + -21. Calculate the remainder when 74 is divided by 222\/h - (-1)\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (37 - 42)\/(-10)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3879 + 3863. Let t = -0.2 - -0.1. Put t, 2\/15, f in ascending order.\nAnswer: f, t, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 340\/136*(-3)\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 a factor of 2534051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 + 1072 - (-5 + 0). Suppose 114*u + m = 118*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(2 + sqrt(2299) + -1 + -1)*-2)**2.\nAnswer: 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 10128*w**2 - 11510*w - 23. Let y(v) = 921*v**2 - 1046*v - 2. Let n(s) = 6*j(s) - 69*y(s). What is the second derivative of n(g) wrt g?\nAnswer: -5562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17506600240348 + 5?\nAnswer: -17506600240343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - 15 - (-28 - -9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -2*y**4\/3 + 20*y**3\/3 - 24*y**2 + 36*y - 18 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1104.046ug to tonnes.\nAnswer: 0.000000001104046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 298\/5 - 60. Let c = 389 + -388.8. What is the closest to 0 in 4\/3, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1813319*j**4 - 3*j + 50953 wrt j?\nAnswer: -21759828*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -446044 (base 7) to base 12.\nAnswer: -3980a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/12)\/((22560\/8)\/30)?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -33*a**2 - 5*a + 5. Let t(i) = -i**2 + i - 1. Give -m(p) - 5*t(p).\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2, 2880, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*d - d + 4*d + (1 + 0 - 3)*(d + d - d) - 1 + d + 1 + 9534*d - 1 - 13416*d + 7383*d to r + x*d and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122468455 is divided by 4979.\nAnswer: 4971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ezffzefzfeefezfvzfe. Give prob of picking 1 e, 1 f, 1 z, and 1 v.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.04?  (a) -2  (b) 0.5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/661 - -3988\/7271. Suppose -b - 5 = 2*s, 8 = -3*s + s. Suppose -4*t - 22 = -i, -i + 7 = 2*t - b*t. What is the nearest to t in u, -0.5, 1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 10) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 8*d - 5. Let p be a(5). Let s = p + 18. Solve s = -2*c + 5*z, -z - 2*z + 16 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 + 324*a + 17601. Determine z(-71).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 42834 (base 11) in base 4?\nAnswer: 33030113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 242 = 5*c - 33. Let w(b) = 25*b + 66. Let k be w(8). Suppose -13*f = f - k. What is the remainder when c is divided by f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 - 6*t - 1. Suppose -2*z + 3*z - 1 = -2*j, z = j - 5. Let s(a) = -3*a + 117*a**2 + 2 - 3*a - 116*a**j - 3 - a. Determine -6*d(x) + 5*s(x).\nAnswer: -x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -4*g**2 + 2*g - 41. Let d(m) = m**2 - 1. Let l(i) = 5*d(i) + r(i). Let f be l(-8). Suppose h - 2394 = -f*h - w, 0 = 2*w + 6. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40 - -32) + -2 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of 6*r**4 - 13*r**3\/3 - 15*r**2 + 7*r + 56. Let l(g) = -16*g**3 + 9*g**2 + 20*g - 5. Let a(k) = 5*i(k) + 7*l(k). Factor a(h).\nAnswer: 2*h*(h + 1)*(4*h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 630036?\nAnswer: 2, 3, 11, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.17770278 to 3 dps.\nAnswer: 2.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -306 (base 8) to base 9\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, -48, 42\/5, -2 in descending order.\nAnswer: 42\/5, -2, -19, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 58 - 85. Let k = i + 20. Let n = 12 + k. What is the third smallest value in n, -9, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.125701 rounded to 1 dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 171 + -169. Let t(y) = -1593 + 230*y**i + 1593. Let q(d) = 2*d**2. Calculate t(q(p)).\nAnswer: 920*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/3, -2\/5, 0.13, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -5 - (3 + 8 - 25).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*v + 4*v + 11*v)*(8 - 33 - 8) - v + v - 2*v + (1 + 2*v - 1)*(4 - 5 + 2) - 3*v - v + 3*v to j*v + a and give j.\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2)\/(-366))\/(6\/(-18)))\/(4\/(-8)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:17 PM and 9:06 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-21\/2)\/u)**(-2\/19)*((u*u**(-2\/17)*u)\/u)**(-48))**(1\/56) assuming u is positive.\nAnswer: u**(-13289\/18088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -4*s**2 - 117*s - 118. Suppose -5*b + 4*z - 6 = 5, -5*b = -5*z + 15. Calculate the remainder when g(-28) is divided by b\/(-3) - 37\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 7, 4.0695, -1\/9, -15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.07 + 0.0699982. What is k rounded to 7 dps?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a factor of 18573467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 0*l = 4*l - 33, -i + 13 = -l. Calculate the remainder when 33 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 - 108*z**2 + 358*z + 27129. What is o(-109)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -2*n + 5*d - 5, -4*d + 4 = n. Solve -8*m - 7 + 23 = n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001 + -1101010111?\nAnswer: -1101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 5*c - 2081, 2041 = 5*c - 5*d + 8*d. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 o when three letters picked without replacement from oojooojooj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 14*r - 4. Let x be a(2). Suppose -x*s + 20*s = 156. Let d = 102 + s. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5129 is divided by 352?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -1893*n - 98426. Give v(-52).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**2 - 9*t**2 - 13*t**2.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 130.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -3, -11, 1 in descending order.\nAnswer: 1, 0, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 332*u**2 - 8*u - 1. What is the units digit of i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-3) + (-132)\/(-9). Suppose 2*i + 2*c - 20 = 0, 0 = -i + 2*i + 2*c - t. Solve -5*m + 3*m = 3*s + i, m = -4*s - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1589 - 4205 = -109*c for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**3 - 5*i**2 + 5*i - 2. Suppose -4*m = 1 - 9. Suppose -2*d + m = -6. Let s be o(d). Solve s = -j - x - 0*x, 2*j + x = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2758878ml to litres.\nAnswer: 0.0002758878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2313591 + 57855598\/25. Let y = b + -633. Suppose -4*v - 5*s = v + 10, 2*s = -2. Is v not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 2814, -14 in ascending order.\nAnswer: -14, 2, 2814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -77 - -101. Calculate the remainder when 46 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3628*v = -3685*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -7*x + 3*x - 15*x - 13*x. Let b(u) be the first derivative of u**3\/3 + 2. Determine z(b(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136613 - 216519 + 80336 = -381*q. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 53177 and 2136159.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -62*g**2 - 1506*g - 9162. What is m(-12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 92*t - 45*t - 26*t**4 - 49*t - 3*t**3 to the form j*t + a*t**3 + g + i*t**4 + z*t**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 + (0 - 0) - 64\/24)\/(-1). What is the biggest value in 1, 2\/9, -44, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 5*p**2 + 5*p + 3. Let w be r(6). Let y = 14.25 - 14.45. Which is the closest to y?  (a) 1  (b) w  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3*k = 6181, -k - 30961 = 4*x - 9*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4839630 at most -4839632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 8, z: 2, n: 2}. Give prob of picking 2 z and 1 n.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3108 and 2849?\nAnswer: 34188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert b2 (base 14) to base 8.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**5*l)*l**15)**(23\/4) assuming l is positive.\nAnswer: l**(115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 114583, 114584, 114585, 114586, 114587, 114588?\n\"Answer: q + 114582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lmllxwhlwxwwxlwmllw. Give prob of sequence hm.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) 4  (b) -2\/15  (c) 3\/7  (d) 2\/13  (e) 20013  (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -69*w**2. Let k(a) = -a**2 + 0 + 5 - 5 - 4*a**2. What is s(k(m))?\nAnswer: -1725*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i + 18*i + 88 = 0. Let f = i - 10. Let r = f + 54. Solve -8 = 4*t - r*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37, 844, 2381, 4642, 7621?\nAnswer: 11312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -1 - 1 - (-34 - -10 - -16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.334724 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 - 38 - 2803*o**3 + 5710*o**3 - 2484*o**3 + 21.\nAnswer: 423*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38 - 33. Let j = 73 + w. Let l(t) = t + 1. Let m be l(-1). Solve m = 4*r + u + 12, 2*r + j*u - 3*u = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 + 30. Suppose 4*j + 20 + 64 = 0. Let u = -21 - j. What are the prime factors of i(u)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 40*z**4 + 16*z**4 - 15*z**4 + (1 - 1 + z)*(2*z**2 + 2*z**3 - 2*z**2) in the form u + x*z**4 + s*z**2 + y*z**3 + n*z and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nxxnxnxxxxxxxxxxxx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3788?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6445*x**2 - 14970 wrt x.\nAnswer: -12890*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, 1 in decreasing order.\nAnswer: 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -333 + 333. Let j be ((-6)\/28)\/(2\/(-4)). Which is the biggest value?  (a) s  (b) 0.6  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7037220 and 69540.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (-4 + 3)) + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 737 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 8*v. Let d = -5 - -32. What is the remainder when d is divided by l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -774159800409 and 5.33.\nAnswer: -774159800403.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 2006676011 to the nearest 100000.\nAnswer: 2006700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 43*i. Let z(a) be the third derivative of -a**4\/24 - 15*a**2. What is z(y(o))?\nAnswer: -43*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 2861, -86, 18\/25 in descending order.\nAnswer: 2861, 18\/25, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gggqggyygqggggqggggg. Give prob of sequence yggy.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44\/40*6\/(-33)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2.0057 and 1.9340299?\nAnswer: 0.0716701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**2 - n - 1. Let a be p(3). Suppose -55 = -4*b - c, a*b - c - 3*c - 74 = 0. Let s = -11 + b. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4733*r + 793*r + 74860 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5102 - b068?\nAnswer: -5e66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 24.0778 times 3209\nAnswer: 77265.6602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 115057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.6 and -0.98732.\nAnswer: -1.58732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*t - 8. Let n(j) = 1 - 15*j + t*j + 7*j. Let y be n(-2). Solve 2*m - y = -5*p, 4*m - p = -5*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -40 - -17. Let l = w - -25. Let d(z) = z + 1. Let i(f) = -2. Give l*d(x) + i(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 20 = 2*m. Suppose 4*k - 2*k = m. Suppose -2*z = 2, -4*x = -3*x - k*z - 8. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(320) + (sqrt(320) - (sqrt(320) + 0)) + 3)**2*-2 + (0 + sqrt(320)*-1)*-5 + 2.\nAnswer: -656 - 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8291 is divided by 1380?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000124573 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 5*x = 7*x - 0*x - x, 5*v = -3*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 27*j + 3527. Is m(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - f + 12. Let q be 24\/18*(-15)\/f. What is the greatest common divisor of q and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 14) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, -3, 2, -10 in increasing order.\nAnswer: -10, -3, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 79 - 20. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 614 = -2*o + q, -3*o = -3*q - 921. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.275836 millennia to months.\nAnswer: 27310.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddwdwdnndkull. What is prob of picking 1 u and 1 w?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-5))\/(10\/25). Suppose -s*d - 1 = -11. Find the second derivative of t**5 + 6*t - t - 5*t**5 + t**d wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -94 - -199. Let g = -106.22 + v. Let h = -1.43 + g. Round h to 1 dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y - 3. Let q(w) = 84 - 108 + 22*w - 14*w. Let i(l) = -8*h(l) + q(l). Let n(o) = o. What is n(i(f))?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -331*b - 4 + 4 + 649*b.\nAnswer: 318*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -70423\/9 + 7825. What is the closest to 2\/5 in 0, -217, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n. Let o(i) be the second derivative of 0*i**3 + 0*i**2 + i + 1\/3*i**4 + 0. Calculate o(c(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of a*j*x**2 - 2*a*j + 48*a*x**2 - a*x + 6*a - j*x**2 + j*x - 1288*j + 785*x**2 - 2*x - 1 wrt j.\nAnswer: a*x**2 - 2*a - x**2 + x - 1288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7\/(-28) - 34\/(-8). Suppose -y = -3*o - 0*y + 28, 0 = -t*o - 3*y + 59. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or -30393?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1271824 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 30, 32, 36, 42, 50, 60?\n\"Answer: u**2 - u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -2*a + 31. Let d be r(14). Suppose 2*h + d*z - 634 + 55 = 0, -2*h = -3*z - 561. Suppose -5*k + 2*s + 363 = 3*s, 4*k - s = h. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(76) + 1*(-1*sqrt(76) - sqrt(76))))\/(sqrt(108)\/sqrt(3) + sqrt(48)\/sqrt(3)).\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 292*x**4\/7 + 3046*x**3 + 371278*x**2\/7 - 384828*x\/7 - 1152 = 0.\nAnswer: -42, -32, -3\/146, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*a = 277*a + 404*a + 8750 + 493 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/17  (b) -11\/5  (c) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 58096*r**2*s*u**2*z**2 - 3*r**2*u**2*z + 2459*r**2*z**2 + 22*r*s*z + 282265*s*u**2 wrt z?\nAnswer: 116192*r**2*s*u**2 + 4918*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -62 by -2625.\nAnswer: 62\/2625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (9 + (-3213)\/45)\/((-182)\/45 - -4). Calculate the highest common divisor of a and 1300.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d. Let y(w) = -w**2 + 39*w + 390. Let h(z) = 5*i(z) + y(z). Let q be h(43). Let 1\/5*m + 0 - 1\/10*m**q - 1\/10*m**2 = 0. What is m?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 558 and 2663046?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 222484, 222488, 222494, 222502, 222512?\n\"Answer: l**2 + l + 222482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7\/4 - 13\/12. Let t(s) be the first derivative of 0*s**2 + 0*s + 1 - 1\/2*s**4 - d*s**3. Find the third derivative of t(z) wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 194793103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*x + 325 = -3*x. Let u(b) = -b + 4. Give u(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*s + 49*s - 819 = 53*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i**3 - 18*i**2 + i**3 - 106*i**2.\nAnswer: 4*i**3 - 124*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 18\/23  (b) 3\/7  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 220312244 (base 5) to base 3.\nAnswer: 1210011011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 54 + -52. Suppose -10 = -h*g - 14. Let j(c) = -3*c + 2. What is j(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*(-12)\/45*10. Suppose -h = -3*t + 4. Suppose -4*r - t = 0, 18 = -n + 3*r + 56. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 3. Suppose c = 5*m - 2*m + 4*r - 10, 2*r = -2*m + 6. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 - 1)\/(6\/(-12)). Let a be 8\/(-20)*(-15)\/f. Let h be 2\/a + (-32)\/(-6). Does 8 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -18*q - 1. Determine r(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 187*x**2 + 24*x - 23. Let o be j(6). Let f = o + -11903. What is f rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1861351?\nAnswer: 1861351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 2*x**2 - x)*(8 + 2*x - 8 - x + 2*x + 0*x + 2*x - 3*x + 0*x + (-2 - 1 + 1)*(-2*x + 5*x - x)).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -135545147 times 2\nAnswer: -271090294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is y in y**5 + 36*y**4 - 156*y**3 + 160*y**2 = 0?\nAnswer: -40, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**3\/3 + 991642*d**2\/3 - 245836480745*d\/3 - 983361789316\/3 = 0. Calculate d.\nAnswer: -4, 495823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: ((-144)\/126)\/(((-24)\/(-28))\/(-6))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 - 30*l**2 - 28*l - 73. Give u(31).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -88 - 46*k + 103 + 49*k.\nAnswer: 3*k + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s + 4*x + 19, -8 = -4*s + 5*x + 8. Let m be -9 + (-1 - 1\/s). Let f = 8 - m. What is the highest common factor of f and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -1, 1183, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - i)*(-15 + 568*i + 593*i + 15) as o*i**2 + c + q*i and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 4. What is the closest to -1 in 0.2, u, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - 2*n + 2*n)*(2 - 3 - 7).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -1223*l**3 + 32*l**2 - 51*l. Let k(p) = -611*p**3 + 16*p**2 - 29*p. Let h(g) = 7*k(g) - 4*q(g). Find the third derivative of h(w) wrt w.\nAnswer: 3690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 13431255 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of v**4\/4 - v**3\/3 - v**2 + 8*v. Let q be c(5). What is the highest common factor of q and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 909 and 148626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 9*9.35\nAnswer: 84.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = 5074 + 1214. Let r = h - 459. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7038 and 14244.\nAnswer: 16708212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g = -19*g + 80. Let b(i) = -i**2 + 20*i + 20. Is b(g) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 53159 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in -14, -12, -2.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3406001826?\nAnswer: 2, 3, 19, 29877209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 + -6. Suppose -a = -l*a + 15. Suppose -1 = a*i - 4*i. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -19*t**2 - 24*t + 51. Let f(g) = -7*g**2 - 8*g + 18. Let k(r) = -11*f(r) + 4*m(r). Determine k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-2)*2\/(-10))\/(9\/2520*-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i + 1. Let k(f) = 10*f - 6. Let j(u) = 4*k(u) + 22*y(u). Let l be j(5). Let h = l + 30. Solve 0 = -4*x + 8, g + 4*x - h + 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -8. Suppose m - 40 = -i*m. Factor 80*d**3 + 132*d**2 + m*d**4 + 7 + 9 + 80*d + 8*d**4.\nAnswer: 4*(d + 2)**2*(2*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 288 + (-1)\/(4*(-4)\/32). Let t be 2\/((-10)\/(-100) - (-11)\/y). Is t >= 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 2) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 511950126 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**3 + 64*d**2 + 61*d - 14. Let v be t(-31). Solve v*g = 13*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = l - 3*l + 5*m, -56 = -4*l + 3*m. Let g be (9 - l)\/(2\/4). Let f(u) = -2*u. Let r(q) = q**3 + 2*q**2 - 9*q. Let v(x) = -4*f(x) + r(x). What is v(g)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/5)\/(1\/(-1)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3587 + -3579. Solve 8*l = i + 32 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 4*i = 656 - 65, 4*i + 2464 = 4*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37120 + 80313. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2279 + 2276. Sort 8, -2\/7, z in ascending order.\nAnswer: z, -2\/7, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.133 - 0.067. Suppose -k - o = -16 - 31, -44 = -k + 2*o. Let i = 47 - k. Which is the second biggest value?  (a) -0.5  (b) t  (c) i  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 + 45*r + 87. Let n be l(-43). Put 7, n, -14 in ascending order.\nAnswer: -14, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -17306 + 7897 + 16*h + 8601 as x*h + n and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + i + 3*i)*(2*i**3 - 3*i**3 - 2*i**3) + (-5*i**3 + 0*i**3 + 3*i**3)*(-3 + 2*i + 3) + (63*i**3 - 103*i**3 - 50*i**3)*(106 - 106 + 3*i).\nAnswer: -280*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 210743382*a**3 + 49965362 wrt a.\nAnswer: 632230146*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -5*o**3\/6 - 7361*o. Let c(n) = 1963*n**2. Calculate c(w(p)).\nAnswer: 49075*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1604512643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/l**(2\/5))\/l)**(1\/54)*(l*l**1)**(3\/13))**(-5\/6) assuming l is positive.\nAnswer: l**(-797\/2106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -175 - 137. Let s = z - -26. What is s rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in 2\/5, -1.13, -35, 0.1, 0.3?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 31 and 1908391.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 26083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, l: 2, u: 1, z: 1}. Give prob of picking 1 u and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.054 and 35304876473.\nAnswer: 35304876472.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2382 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -100 + 65 + 6*v - 70 - 2*v + 109*v**3 - 121. Let u(m) = 217*m**3 + 7*m - 448. Let g(r) = -7*i(r) + 4*u(r). Find the first derivative of g(p) wrt p.\nAnswer: 315*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -613*u = -939*u. Suppose -18 = 4*f - 2. Let t be 2\/(-8) - 5\/f. Put t, u, -5 in increasing order.\nAnswer: -5, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74637?\nAnswer: 3, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 14999 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 116\/17  (b) -23  (c) -6  (d) -1\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -3 + -38 + -1 + -70 + 58.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -811.913 - 17482097\nAnswer: -17482908.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r. Let y be (-3)\/(((-27)\/12)\/3). Let i(j) = y*j**2 + j**2 - 4*j**2. Calculate i(p(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**2 - 10*a - 20191. Determine g(103).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11504382.\nAnswer: 2, 3, 1917397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -36*j**3 - 5*j**2 + 91*j - 5. Let v(g) = 19*g**3 + 2*g**2 - 45*g + 2. Let x(b) = -2*f(b) - 5*v(b). Find the second derivative of x(z) wrt z.\nAnswer: -138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(3\/4)\/y**(-1\/25) assuming y is positive.\nAnswer: y**(79\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -19\/4*u**4 + 33\/4*u**5 + 0 - 35\/4*u**3 + 19\/4*u**2 + 1\/2*u = 0.\nAnswer: -1, -1\/11, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -192065039, -192065048, -192065069, -192065108, -192065171, -192065264?\nAnswer: -192065393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + ((-2)\/(-5))\/((10184\/2144)\/(18825\/(-144))).\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 equal to 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/7 at least 43.68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.43 - -2.307. Let s = t + 0.123. What is the second biggest value in -0.3, 0.4, -2\/9, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of 5\/2*j**2 - 17*j + 7\/6*j**3 - 1\/3*j**4 + 0 - 1\/20*j**5. Let u(f) = 2*f**2 - 11*f - 11. Let l be u(6). Give b(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -4. Suppose -l = -2*g - d*g - 25, -g = -3*l + 19. Calculate the remainder when 7 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -354117 - -848444. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12)\/sqrt(6)*3 - sqrt(14)\/sqrt(7)*-2.\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p - 47 + 137. What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 130726, 130733, 130744, 130759, 130778, 130801, 130828?\n\"Answer: 2*l**2 + l + 130723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -6*5*(sqrt(304) + (sqrt(304)*-2)**2 + sqrt(304)).\nAnswer: -36478 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51)\/sqrt(12) - 2*sqrt(2057))*1.\nAnswer: -43*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 + -15. Let t(q) be the first derivative of -q**3\/3 + 7*q**2\/2 + 2*q - 1. Let x be t(f). Is 2 equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) -6\/11  (c) -1\/22  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, 1\/2, -0.383, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 5*o**2 + 5*o - 4. Let z be ((-14)\/(-3) - 1) + (-1860)\/1116. Suppose 0 = -2*v + 10 - 4. Suppose v*c + 2 = -4*y + 5, z*y = -2*c. Give d(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 330870, 330916, 331042, 331290, 331702, 332320, 333186?\nAnswer: 334342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5133 + 2?\nAnswer: 5135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2*m - 24 = 0. Let b = 20 + m. Let o be (b\/24)\/((-1)\/(-50)). Solve -2*r = -6*r - 2*q + 10, 5*q = 3*r + o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 674309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 84541 = 5*o - 282208, 5*v + 293394 = 4*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 6 = 2*c - 3*a, -5*c + 3*a - 22 = 0. Suppose -21 = -2*n - 27. What is the nearest to -1 in n, c, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 4*q - 104. What is o(20)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l + 1. Let i be o(3). Let m = i - -13. Suppose -5 = -k - 1. Calculate the highest common factor of k and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of 103*i**9\/63 - i**5\/60 + 131*i**3 - 7*i**2 - 13*i. Find the third derivative of m(b) wrt b.\nAnswer: 98880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 PM and 7:09 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 329 by 3210.\nAnswer: 329\/3210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 35 = -110. Let p = k - 26. Solve -s + 3*d - 7 = 7, -p*s + 8 = d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the third derivative of -q**5\/60 + 5*q**4\/24 + q**3\/6 - 23*q**2. Calculate y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(-14))\/((-9)\/36). What is the nearest to g in 2\/5, 1\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 + -2)*-2 - -2. Let b = w - 0. Suppose -24 = -b*v - d, 2*d - 2 = 2*v - 14. Solve v = 5*f - 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*a**4\/5 + 170417712*a**3\/5 - 511253154*a**2\/5 + 102250632*a - 170417721\/5 = 0. What is a?\nAnswer: -56805907, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 8.1. Let v = 0.07012 + -6.07012. Which is the closest to -1?  (a) o  (b) 1.8  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2140357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 13 = -44*a + 40*a, 0 = -5*x - 2*a + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d + r = -6, 5*d + r + 11 = 29 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -700*o + 864562. Determine h(1235).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -r + 6. What is the units digit of (1*12 - 1)\/r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 76 = -5*i, -3*i - 45*c - 70*c + 52 = -119*c for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9827966*a**5 + 2*a**2 + 1812*a - 17 wrt a?\nAnswer: -589677960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of -2*k**5\/15 - 2*k**2. Let i(u) = -2*u**2. Calculate i(r(b)).\nAnswer: -128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 93*t**4 + 48*t**2 + 234*t**3 - 232*t**3 - 94*t**4 + 4*t to the form s + k*t + w*t**2 + r*t**4 + d*t**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 542 is divided by 531?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/3  (b) 1\/6  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the third derivative of b**6\/240 + 47*b**5\/120 + 703*b**4\/48 + 1083*b**3\/4 + 2419*b**2. Factor q(k).\nAnswer: (k + 9)*(k + 19)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(((1*sqrt(1134) - sqrt(1134)) + sqrt(1134) - sqrt(1134)) + sqrt(1134) - sqrt(224))\/(-1*(sqrt(72) - (sqrt(72)*1 + sqrt(72)))))**2.\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 322\/(-5148) - (-4052)\/237042?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 24\/(-18)*((-30)\/(-4))\/5. What is the units digit of 0 - (-1536)\/18 - a\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 51*i - 28. What is j(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 AM and 9:57 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 11:06 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 14*d + 11. Let a be t(5). What is the greatest common divisor of a and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 1932 - 162. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 2252 = 3*v, -5*v - 1755 = c - 5555. Let l = v - 12173\/16. What is the common denominator of -59\/3 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 350759 + 1.7.\nAnswer: 350760.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0*(2 - 3\/2). Factor 1\/2*k + k**2 + 1\/2*k**3 + g.\nAnswer: k*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -58 + 63. Sort -4, 0.1, 3, h in increasing order.\nAnswer: -4, 0.1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**3 + 10*s**2 + 6*s - 2. Let v(k) = 5*k**2 + 3*k - 1. Determine -4*i(w) + 9*v(w).\nAnswer: 4*w**3 + 5*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a*a\/a**(1\/26)*a**(-1\/3))**(-5))**16 assuming a is positive.\nAnswer: a**(-8200\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 - 5*o - 2. Let x be s(-3). Let d = -5 + x. Let h = 6 + d. Solve h*j + 5*n = -0*n - 35, 0 = -5*j + n - 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 45\/2 of a tonne?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.30575 rounded to 2 dps?\nAnswer: 9.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.3 - -0.1. Let m be 8\/6*3 + 37*-1. Let z = m + 38. Which is the nearest to z?  (a) h  (b) 2\/7  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 - 0.0463?\nAnswer: -29.0463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8*(-21)\/7644)\/((-20)\/35)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2822 divided by -3?\nAnswer: 2822\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve n**4\/6 + 35*n**3\/3 + 89*n**2\/2 + 33*n = 0.\nAnswer: -66, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23 + -10. Let f(i) = -2*i + 41. List the prime factors of f(u).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 45*d + 110. Let x be j(-31). Let w = -825 - x. What are the prime factors of w?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -23*j - 57. Let t be r(8). Let a = t - -420. Suppose 4*p = -d + a, p - 308 = -3*d + 196. List the prime factors of d.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 78*o**2 - 95*o**2 + 231*o**2 to b + n*o**2 + x*o and give n.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.07 or 32.44?\nAnswer: 32.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6045039181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together 384 and -0.07531.\nAnswer: 383.92469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21.24 - 20. Let d = o - 1.3. Round d to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 179339 divided by 131.\nAnswer: 1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130029 is divided by 1000.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 529 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1944)*1 + sqrt(96)\/sqrt(4)*2)\/(((2*sqrt(72) - sqrt(72))*6)\/(sqrt(66)\/(sqrt(176) + sqrt(11)))).\nAnswer: 11*sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**2 - 276324*u + 276324*u - 4.\nAnswer: u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 7:59 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 85394 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 26, 17, -14, -79, -190, -359?\n\"Answer: -2*n**3 + n**2 + 2*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 5152*y**2 - 80*y - 37. Is h(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -23585\/156 - -1908\/13. What is the common denominator of g and 133\/750?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(8\/21)*(-2440)\/(-366).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 - (-12)\/(-4))*8. Let m(b) = 15*b**3 - 8*b**2 + 8*b - 8. Let k(p) = -10*p**3 + 5*p**2 - 5*p + 5. What is o*k(a) - 5*m(a)?\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2453205 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*w - w. Suppose -2*d = v - d - 9, 2*v - 3*d + 2 = w. Let z(p) = -p + 2. Let g(m) = m - 1. Let s(t) = -2*g(t) + z(t). Determine s(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 79555 divided by 11365\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together 616479 and 134.\nAnswer: 616613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1d28 - -c?\nAnswer: 1d36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*t + 8*c + 4889 - 4968, 7*t - 86 = c for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 353.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -5*x**3 + 345*x**2 - 1933*x + 2835. Let g(c) = c. Let b(a) = 2*g(a) - n(a). Determine m, given that b(m) = 0.\nAnswer: 3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*(5 - 1290\/260).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -543*j**2 + 1171 - 1171 - 3*j**2 + 3*j**2 - j**2 + j**2 + j**2 + 0*j**2 + (-j + 5*j - 3*j)*(2*j + 3 - 3) to c + h*j + r*j**2 and give r.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -7*a**4 + 35*a**3 - 55*a**2 + 27*a - 2. Let j(r) = -120*r**4 + 595*r**3 - 935*r**2 + 460*r - 35. Let d(i) = -2*j(i) + 35*s(i). Factor d(b).\nAnswer: -5*b*(b - 5)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/30 and -4 + ((-18)\/(-63) - (-1178)\/42)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2*y - 19. Let k be b(-11). Solve -3*x = k*r - 24, -4*x + 3*r + 6 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2153 + 2157. Which is the third biggest value?  (a) 1\/9  (b) -2\/11  (c) -0.5  (d) l  (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -39\/32, 2, 1\/4, 0, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27\/(-162) - 5\/(-12)*1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5919980 divided by -284?\nAnswer: -20845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -5*y**3 - 965*y**2 - 39904*y - 242. Determine q(-60).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-3 - 4\/(-1)). Let u be (-1 - f)*4 + -4. Suppose 26 + 0 = 2*q - 4*p, 2*p + 6 = 0. Solve u = -3*s + q + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2\/23, 0.2, 2\/11 in decreasing order.\nAnswer: 0.2, 2\/11, 0, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 7*g**2 + 2265*g - 5505. Calculate z(-326).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2)\/(t\/(t*t**(-4\/7)))*t**5\/t*t*t**(-2\/5))**13 assuming t is positive.\nAnswer: t**(923\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-4)\/x)**(-20)\/(x**(-1\/24)\/x**5) assuming x is positive.\nAnswer: x**(2041\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iaa when three letters picked without replacement from aiaj.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of 3*i**2\/2 - 5*i - 27. Let j(q) = 6*q - 9. Give 9*d(g) - 5*j(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 3*i + 0 + 3 = 0, 5*i - 17 = -z. What is the remainder when 6 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 + 252 = t. Let y be ((-21)\/(-12))\/(-7) + t\/28. Solve -3*q = k - y*k - 40, -2*q + 35 = -5*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/14 and -6*(-3)\/6 - 59\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5 or 17081\/4449?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 35250 and 90.\nAnswer: 105750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -82 smaller than -94257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 + 15*b**2 + 17*b - 31. Let p be h(14). Let z = p - 275. Suppose 3*q - 389 = -z. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -111\/880 and 49\/88.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1805 + -2651. Is 5\/(-2)*f\/15 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d + 0 + 0)*(d**2 + 3*d**2 - 2*d**2)*(6 - 3 - 1).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/12 + (-30)\/9. Let m = c - -8. Suppose 5*s = -4*g + g - 3, -m*s = 15. Solve 24 = -g*p + 4*q, p + 8 = 3*q - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 3*v - 21 = 0, 46*u - v - 32 = 43*u. Solve 3 = -f + h, -3*f + 6*f + u = h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10363\/403 or 25?\nAnswer: 10363\/403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/3)\/(6\/(-18)). Suppose -3*u + 3 = 0, -2 = -d*o + u + 17. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 627 in 4\/5, -1\/6, -4\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 2*r + 334 = -0*g, 0 = 5*g + 5*r + 455. Let l = -61 - g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1734082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -802*i**3 - 2*i + 2305.\nAnswer: -2406*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -3  (b) -2\/7  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/1341 and 39\/1639?\nAnswer: 14751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/70 and -4\/35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bkbbkkffk. Give prob of picking 2 b.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -171.2 - -171.32. Put 0.4, -3, d, -5 in descending order.\nAnswer: 0.4, d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**3 - l**2 + 1. Let b(r) = 13*r**3 + 11*r**2 - 7*r - 13. Let g(y) = b(y) + 6*i(y). Let q(f) = -f**2 + 2*f + 2. Let s be q(4). Give g(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1158 + -1157.6. Let b = 35 - 25. Which is bigger: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -63.2 * 954788.\nAnswer: -60342601.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, -22, 3 in descending order.\nAnswer: 3, 2, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000005416 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 75925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 66\/(7 - -4) - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 2*m - 10, -2*m - 2*a + 10 + 4 = 0. Let f be (-1*(-2)\/(-9))\/((-6)\/m). Factor 1\/2*o + 1\/6*o**2 + f.\nAnswer: (o + 1)*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 99, 220, 389?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -6*t**2 + 31. Let o(j) = -2*j**2 + 3. Let z(i) = 5*o(i) - x(i). Let g(r) = -2*r. Determine z(g(h)).\nAnswer: -16*h**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -8251 divided by 10?\nAnswer: -8251\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, 0, -12313\/2, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of c**2*d**3 - 216478*c**2 + 2*c - 4004264*d**4 wrt d.\nAnswer: 3*c**2*d**2 - 16017056*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-32)\/88)\/(23\/(1771\/(-70))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, r: 1, x: 4, q: 6}. What is prob of picking 2 q?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/4*230\/805?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -76.7048808 to two decimal places.\nAnswer: -76.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*a**5 + 1905*a**4 + 11718*a**3 - 129012*a**2 - 369708*a + 215523 = 0. What is a?\nAnswer: -311, -11, -3, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*z - 159 = -34*z + 89. Solve 37*i - z*i - 12 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 8*g + 17. Let j be v(-9). Let n = 45 - j. Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*t*z**3 + 125682*t - 14324*z**3 wrt z?\nAnswer: 6*t*z**2 - 42972*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 101690?\nAnswer: 101690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 563 - 121. Let u be ((-51)\/(-30) - 2)*f\/66. Let x = u - -21\/10. Which is the closest to -1\/3?  (a) -0.5  (b) x  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1093*n**2 - 1 + 890*n**2 + 1.\nAnswer: -203*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 374 is divided by 72.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 46\/253*-22*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 47 + 255*v + 34 - 73. Is s(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 6:50 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -408\/19  (c) 1\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 2*g + 10 = 0, -6*p + 208883*g - 208882*g - 2 = 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**16\/(g**2*g) assuming g is positive.\nAnswer: g**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202333000 (base 4) to base 11.\nAnswer: -9872a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, t: 4, s: 1, m: 1, y: 1, z: 5}. What is prob of picking 1 m and 1 z?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -14*b + 6. Let l = -3018 + 3024. Let y(z) = 27*z - 12. Calculate l*y(k) + 11*v(k).\nAnswer: 8*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7192 is divided by 225?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -26\/219, -2\/11, -0.3?\nAnswer: -26\/219","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 394 - 400. Let j(x) = x**3 + 7*x**2 - 4. What is j(s)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 21 and 56679?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000257276541 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16665, 2, 0, -1, -3, 4 in descending order.\nAnswer: 16665, 4, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y**3 - 32*y**2 + 3*y + 28. What is o(-16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 6 + 16*n + 5*n - 12 - 4*n. What are the prime factors of m(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2268, 4534, 6802, 9072, 11344, 13618?\n\"Answer: l**2 + 2263*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 421 - 24\/(-6) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 14 = 3*x + 2*r, 5*x + 4*r = 38. Suppose -5*q - 19 = -4*d, -2*d = -q - q - x. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5029649 = g - w + 5029683, -2*g + 5*w - 173 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3833 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -22\/129 and -4\/21.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 5. Suppose 0*n - 2*o - 18 = -4*n, 3*o = -n + j. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6484871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of -r**5\/20 + r**4\/3 + 5*r**3\/6 + 2*r**2 - 3*r. What is the units digit of g(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -3  (b) -4  (c) 261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + 3*j**2 + 4*j - 4. Suppose r - 21 - 2 = 0. Calculate the remainder when r is divided by f(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-3)*3)\/(32\/16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 177.9826 + 0.0174. Let f = 177.3 - y. What is the second smallest value in -9, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -2256, -4510, -6764?\n\"Answer: -2254*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -14*t**2 + 8*t - 12. Suppose -2*z - 3*y - 5 = -1, 4*z + 4*y = -12. Let m(s) = -9*s**2 + 5*s - 8. What is z*j(a) + 8*m(a)?\nAnswer: -2*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 - y**2 + 2*y. Let r(a) = -a**2 - a + 4. Let b be r(-3). Let d be h(b). Is (d\/1)\/3 - -25 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15.8383 - -48\nAnswer: 32.1617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -622*p**5\/3 - 3676*p**4\/3 - 4018*p**3\/3 + 4124*p**2\/3 + 4640*p\/3 - 448\/3 = 0. Calculate p.\nAnswer: -4, -2, -1, 28\/311, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 202 + -6?\nAnswer: 1fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1296))\/sqrt(3).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzil when four letters picked without replacement from {z: 7, l: 4, n: 1, i: 3, e: 3}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 - 13?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccjcjjcyjyjjjjh. What is prob of picking 3 j and 1 h?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 684932.8 rounded to the nearest 1000?\nAnswer: 685000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -167\/5 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 6*m + j = 11, 6 = 4*m - 2*j. Suppose 3*s + 16 = m*s + 4*o, -s - o = -4. Solve s - 8 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1687 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*a - 5 + 1 + 0)*(-23 + 26 + 0*a - 2*a).\nAnswer: -16*a**2 + 32*a - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 85775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 17274  (b) 4  (c) 5\/2  (d) -0.05  (e) 0.3  (f) 3  (g) -1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 58*c**2 + 1028*c + 59626. Calculate q(-58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1553, 2459, 3421, 4469, 5633, 6943, 8429, 10121?\nAnswer: 12049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nwnwznwzzwzzwn. What is prob of picking 1 w and 1 z?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -29 + 25. Let l = 16.02 - 0.02. Let o = l + -15. What is the smallest value in o, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(39)\/sqrt(3) + sqrt(1872) + -1.\nAnswer: 4 + 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 1525610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 46*a + 4 - 4 - 9*a to x*a + o and give x.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 + 5*j**2 + 3*j + 13. Let f be t(6). Let s(g) = g**3 + 5*g**2 - 2*g - 7. Give s(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 130137490 or -1?\nAnswer: 130137490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o**3 - 38*o**2 - 22*o + 5. Calculate p(-12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.6129653 months to years.\nAnswer: 0.134413775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -106237 + s**2 + 106237. Let o(i) = -3*i**2. Determine o(k(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u - 286570 = -13*u. Suppose 11*v = u - 17373. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3 + -5131?\nAnswer: -5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1152 - 2614 = -4*v + 3*a, 5*v + 5*a - 4690 = 0. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45 = 3*h, 121966*h - 121969*h = 17*a + 96 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68, -26, -288, -718, -1316, -2082, -3016?\nAnswer: -4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 58537168 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3016265 is divided by 2292.\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-1))**(-2\/9)\/(((k**(-1\/7)\/k)\/k)\/(k*k\/((k*k*k*(k*k**0)\/k*k)\/k))) assuming k is positive.\nAnswer: k**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 128 is divided by 88\/22 + 2*13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9462.45ns in milliseconds?\nAnswer: 0.00946245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -70.7 and -14.\nAnswer: -84.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 798796221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, 366, 47\/3, -1, 2\/5, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-7)\/14)\/(1\/(-170)). Suppose -4*m = z + 55. Let c = m - -39. What is the smallest value in -1, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(21\/(-10) - -2). Let b be ((-273)\/26 - -12)\/(3\/10). Suppose -b*g = -60 + c. Solve m - 15 = g*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 2*z = 5*l + 28, l = -2*z + 1. What is the third derivative of c**6 + z*c**2 - 2*c**2 - 5*c**2 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/4 + (-150)\/4. Which is bigger: -37 or r?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -5, 2, -4, 39684 in decreasing order.\nAnswer: 39684, 2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1831487.\nAnswer: 7, 261641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.693 + 2.193. What is the nearest to -4 in d, 1\/3, 128?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10914 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 700, 1528, 2500, 3616, 4876?\nAnswer: 6280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 36*a**3 + 8*a**2 + 3*a. Let g(f) = 12*f**3 + 3*f**2 + f. Let s(q) = -8*g(q) + 3*u(q). Give s(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1629 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = m - 4. Let t be ((-12)\/4)\/(((-10)\/(-10))\/(-3)). Factor -9*h**m + 16*h - h + 13*h**2 - t*h**2.\nAnswer: -5*h*(h - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -641 - -3847\/6. Let p(j) be the second derivative of -j + k*j**3 + 0*j**2 + 0. Let o(t) = -7*t. Determine o(p(q)).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6829, 27089, 60857, 108139, 168941, 243269, 331129?\n\"Answer: l**3 + 6748*l**2 + 9*l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2809 and -3764.\nAnswer: -6573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - v**3)*(3 - 3 - 3*v) - 2*v**4 + 5*v**4 - v**4 - v**2 + v**2 + v**4.\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 6436 (base 7) to base 5\nAnswer: 33111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of 1\/2*p**4 + p + 19*p**2 + 0 - 22\/3*p**3 + 1\/20*p**5. Differentiate z(n) wrt n.\nAnswer: 6*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (10 + -3)) + (-2 - -9) + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3925544 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do -8652 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of 0*d**3 + 27*d**2 - 7\/6*d**4 + 0*d + 11\/30*d**5 - 1. Find the second derivative of u(o) wrt o.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 259414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 3*a + 9. Let t(y) be the first derivative of -y**2\/2 + y - 8. Give 6*t(l) - w(l).\nAnswer: -9*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 246*b + 101*b = 4721 - 4843 - 17575 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - -3535?\nAnswer: 3543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1913 is divided by 592?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 920498 is divided by 906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*r + 8*r - 8*r + 6*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44040321 (base 5) to base 13.\nAnswer: -102b31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) 17\/4  (b) -113\/3  (c) 4  (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 + 12*h**2 + 10*h + 20. Determine b(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.16 + -0.46. What is the second smallest value in -5, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3*(-6)\/(-8)*-4. Let h be 16\/(-6)*k\/12. Let o(i) = i**3 + 7*i**2 + 6*i + 2. Let b be o(-6). Solve b*m = -h*f + 6, f + 0*f - 2*m = -6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 8, p: 2}. What is prob of sequence pff?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-159)\/(-1)*(-9)\/(-27). Suppose -t - 89 = -2*i. What are the prime factors of i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-26)\/(-39) + 80\/6.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**2 + 7*x - 1. Let i be p(6). Suppose -a + i = -22. Calculate the greatest common factor of 54 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - 6. Let t be (-1 + u)*(-2)\/(-2). List the prime factors of ((-5)\/10)\/(t\/28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cgpppppggcpg. What is prob of picking 2 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t**3 + 4*t**2 + 22*t - 4. Let n(d) = d**3 + 4*d**2 + 19*d - 4. Let x(p) = 3*n(p) - 2*z(p). Let i be x(6). Solve 0 = a + i*a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55 divided by 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**4\/(y*y**7\/y))\/(y**(2\/21)*y*y\/y**(1\/8)) assuming y is positive.\nAnswer: y**(-835\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -70816 divided by -8\nAnswer: 8852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = 4*b + 8, -3*b = -3*p - 6 + 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36883*k = -37253*k - 2590 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -100100?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1394 + -1357. Suppose b*n + 50 = 47*n. Let s = 12 + -7. Solve -5*q + 10 = n*d, q = 5*d + s*q - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-1)\/(-2)*9\/(81\/18) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 10}. What is prob of sequence iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 6:28 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 7 - 2)*(5*w - 4*w + 2*w + 4*w - 6*w + w + w + w - w + (-w - 8*w + 4*w)*(5 - 3 - 1)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*f = 67*f - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1 - -0.1. Let y = 202.7 + -220. Let d = -17 - y. Which is the nearest to 0.2?  (a) d  (b) x  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a + -46?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 860?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x**4 + 152*x**3 - 1972*x**2 - 2408*x + 4224 = 0. Calculate x.\nAnswer: -48, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of -b**5\/20 + 2*b**4\/3 + 11*b**3\/6 - 13*b**2\/2 + 6*b. Let d be -15*(-3)\/(9\/3 - -2). What are the prime factors of u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18862610 is divided by 6287522?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 59?  (a) -3\/5  (b) 0  (c) 72  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 19385095?\nAnswer: 2\/19385095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 21745148 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-162097)\/5070)\/37 - 4\/(4 - -20) and 19\/260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000451975268 to 7 decimal places.\nAnswer: -0.0000452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -312, -626, -940, -1254?\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 PM and 12:12 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -3. Let s = 6351 - 6354. Sort z, 13, -5, s in ascending order.\nAnswer: -5, s, z, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 6929, 6937, 6947, 6959, 6973?\n\"Answer: t**2 + 5*t + 6923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rpt when three letters picked without replacement from ptttptppptprttr.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 793 and 4589.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 - -16. Which is the biggest value?  (a) 4  (b) 0.4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1859627.62 rounded to the nearest 1000?\nAnswer: 1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 658731280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(-12) + (-7724)\/16. List the prime factors of (8\/(-6))\/(7\/i).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 56 - t - 51 + 2*t + t**2 + 3*t in the form d*t + p + k*t**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5.399 + 5.799. What is the closest to -2\/1029 in 0.3, -2, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 7*t + 1924*t**2 + 6 - 3850*t**2 + 1925*t**2. What is r(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -210 + -10300?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2678 + -632218?\nAnswer: -634896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 104293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.25713 to 2 decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g + 0*g - 2*g**3 + g)*(6 - 12 - 8)*(-2 - 1 + 0) to the form n + o*g**2 + w*g + a*g**3 and give a.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11587*f = -11830*f - 9477 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 + 3*g**2 + 2*g + 4. Let u be b(3). Suppose -6*n - u = -8*n. Solve 2*t = 2, -5*s + n*t - 3*t - 2 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -49605*c**3 - 20*c + 7*c**2 - 16 + 49604*c**3 + 4*c**2. Calculate d(9).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-18)\/((-6)\/(-4) - 3). Let f be (w\/10)\/((-2)\/(-5)). Solve -f*n = -3 - 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -24*j**3 + 2*j**3 + 57 - 18 wrt j.\nAnswer: -66*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 6 - -10) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*t = -43*t + 69. Let s(i) be the second derivative of -t*i + 0 + 0*i**2 - 23\/12*i**4 + 0*i**3. Let f(p) = p**2. Calculate f(s(d)).\nAnswer: 529*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9443\/150 or 62?\nAnswer: 9443\/150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/137?  (a) 3  (b) -0.2  (c) 481\/6  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*k = 73*k - 70. Solve 0 = k*a - 11*a - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -462 + 468. Solve p - 16 = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1677 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1216))**2*-1.\nAnswer: -1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 49 = -5*y. Suppose 5*j - 7 = y. Let u(k) = k**3 - 5*k**2 + 6*k - 6. Let h be u(4). Put j, -2, h in descending order.\nAnswer: j, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -304 - -562. Let t = x + -1286\/5. Let j(o) = -o + 7. Let l be j(-10). What is the nearest to -1\/3 in 0.1, t, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 18. Suppose -352 = -s*c - 67. Suppose -k + 3*l - 12 + c = 0, 5*k - 155 = l. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46814\/51 greater than 919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/452128 and 83\/9552.\nAnswer: 1356384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -146733774.2 and 0.5?\nAnswer: -73366887.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + 8 = 2*i, 2*i + 74*x - 8 = 76*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1392 + -1367. What is the remainder when n is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of -l**6\/120 - 19*l**5\/60 + 23*l**4\/24 + 7*l**3\/6 + 5*l**2. Let s be x(-20). Let v = s + 119. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fgffffffd. Give prob of picking 1 g and 1 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 8 = 0, -u + x + 3 = -0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -3*x**4 - 15*x**3 - 24*x**2 - 12*x = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2 * 113025282\nAnswer: 226050564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 749 + 562421?\nAnswer: 563170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**2 + 13*g + 22. Give h(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*u - 169800 + 476110. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9 - 4 + 3)*(-26 + 11 + 3)*(3*j + 0*j - 2*j) to u*j + m and give u.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 19 = -2*o + 4*o + 15, 150*o = 4*h - 276 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r = -p - 0*r + 11, -p + 7 = -2*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*l - 15*l + 5*l - 18 to h + r*l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(4*(2 + sqrt(7)) + sqrt(7)))**2*-5 + (-2*sqrt(84)*-1)\/(sqrt(12) - sqrt(108)\/sqrt(81)).\nAnswer: -19120 - 6397*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 25 + -1 + -140 - -34.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u - 14*u + 290 = 0. Let z = u + -9. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -7. Let q = c - -6. What is the second derivative of 2*l**5 + q*l - 2*l + 2*l wrt l?\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8676210?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 27, -597.\nAnswer: -597, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34541466*d**2 + 76 - 34541466*d**2 + 69082929*d**2.\nAnswer: -3*d**2 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 864825.99 rounded to the nearest 100?\nAnswer: 864800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5577001 and 519.\nAnswer: 16731003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of 7*y**4\/120 + 209*y**3\/60 - 3*y**2\/2 - 3163*y. Factor j(i).\nAnswer: (i + 30)*(7*i - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -4*u + 45, -3*u + 69 = u - 3*o. Find the second derivative of 6*p**4 - 3*p**4 - 3*p + u*p + 9*p wrt p.\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of -5 + g**2 + 1\/3*g**6 + 0*g**5 + 0*g**3 + 0*g - g**4. Factor m(j).\nAnswer: 2*j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 + -0.7?\nAnswer: 251.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k**5 - 5043*k**4 - 1775904*k**3 + 287803776*k**2 - 10461984768*k + 111559790592 = 0 for k.\nAnswer: -904, 24, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -5, -2\/9, -1, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41.23197ml to litres.\nAnswer: 0.04123197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 + 73*b**2 + 63*b - 616. What is f(-72)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 2*p = -3, 3*i - 8*p + 12*p = 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -3. Let c = -1550 - -1554. Suppose f*q - 289 = -o, -o = -c*q + 2*o + 216. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/10 - 162\/(-30). Suppose b = -g*t + 16, 5*t + 156 = 4*b + 2*t. What is the highest common factor of 24 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4*h - 2179 = 0, -4*u + 2*h = 7*h - 8653. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 594201 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -16) + (10 - 29)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*c = -9*c - 234 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9 + -0.271?\nAnswer: -1.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -20298 or -20297?\nAnswer: -20297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -5*a + 47, -2*a + 62 = 2*j + 24. Calculate the remainder when j is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*m**4 + 188*m**3 + 834*m**2 - 34*m - 27512 wrt m.\nAnswer: 84*m**2 + 1128*m + 1668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -15*(-15)\/(-54)) + 784\/(-5600).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 36 (base 10) to base 11\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i - 1. Let f(n) = 5*n + 6. Let w be 8 + -3 - (-5 - -1). Let m be (-6)\/9 - 30\/w. Give m*f(s) - 22*g(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 5:21 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9361038, 9361039, 9361040, 9361041, 9361042, 9361043?\nAnswer: 9361044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 57 + -49. Let c(b) = 11*b**2 - u*b**2 - 4*b**2. Let k(n) = -1. Let f(q) = 15*q**2 - 60. Let i(x) = f(x) - 60*k(x). Determine i(c(a)).\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 27\/(-6)*88\/(-6). Let r(s) = s**3 - 5*s**2 + 5*s - 3. Let i be r(5). Calculate the greatest common factor of i and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5752 (base 15) in base 10?\nAnswer: -18527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 18105322\/59 and 306869 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18924?\nAnswer: 2, 3, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-425)\/(-4675))\/(5\/3575).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 435 = -21*i + i. Put i, 3, -2, 5 in descending order.\nAnswer: i, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -2*p + 5*p + 12, 4*p - 4*x = -24. Sort -119, -12, p in increasing order.\nAnswer: -119, -12, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (28*q + 22*q - 27*q)*(-3*q + 2*q - q)*(77 - 69 + 129) as s*q**2 + t*q + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -54*v - 5. Let g be m(-2). Calculate the remainder when g\/(1 + -1 + -1 + 2) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(228)*-6)\/(-1*2*sqrt(12) - sqrt(12)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 - 3)*(-9*l**4 + 20*l**4 + 20*l**4) in the form c + w*l + s*l**3 + r*l**4 + y*l**2 and give r.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 546 and 71708.\nAnswer: 215124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*p = -5*z - 20*p + 360, 0 = z + 4*p - 102. Calculate the remainder when 319 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/4*(-18)\/(-27). Let f be (18\/12)\/(u\/6). Let x be (-6)\/f + (-231)\/(-9). Solve -2*p + x = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 209665 = h, -3*h + 25142 - 164928 = -2*c. What are the prime factors of c?\nAnswer: 17, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**5\/9 - 784*p**4\/9 - 1561*p**3\/9 + 782*p**2\/3 = 0. Calculate p.\nAnswer: -782, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**3 + 20*y**2 - 221*y + 88. Let x be l(-28). What is m in -1\/2*m**x + 1\/2*m**5 - 3\/2*m**3 + m + 0 + 1\/2*m**2 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1734*c - 3627 = 388*c - 74965 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 20 = 3*o. Let f = o + -11. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -4*c**2 - 50*c + 149. Calculate z(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - y - y)*(38*y - 38*y - 24*y**3) - y**2 + 2*y**4 + y**2.\nAnswer: 26*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67043.\nAnswer: 67043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -26 + 12. Let x(q) = q**2 + 9*q - 1. Let a be x(-7). Which is greater: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 2*c + 147 = 0, 80 = 3*r + 5*c - 76. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75977, -151956, -227935, -303914?\nAnswer: -379893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + (-126)\/(-36)*(-12)\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -2*p**2 - 34*p + 9. Let n be (68*(-4)\/(-48))\/((-1)\/3). Calculate the remainder when h(n) is divided by (2\/4)\/((-3)\/(-18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 15 = -31. Let q = a - 25. Let r(h) = -4*h**3 - 3*h**2. Let c be r(q). What is the greatest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 0.3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64*o = 68*o - 9088. Let n = o - 402. Let u = n - -2000. What is u rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*115\/25 + -2 + 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q**4\/3 - 15*q**3 - 572*q**2\/3 - 544*q = 0 for q.\nAnswer: -24, -17, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 398 - 177. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -120 + 117 + (2 - (-3 + 10 + 25))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 73 = 5*g, -3*x = 2*g + 11 - 71. Suppose 23*u + 3040 = x*u. List the prime factors of u\/(-14) + (-10)\/70.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -36988 and -36987 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 + -47422828685885.\nAnswer: -47422828685885.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-2\/5))**18\/(p**(3\/8)\/(p*p**(-7))))**(-1\/70) assuming p is positive.\nAnswer: p**(-177\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y. Let c(f) = 17*f - 11. Give c(g(s)).\nAnswer: -17*s - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -510 * -3.\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000045665947 to 6 dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b**2 + 17*b**3 + 26*b**3 + 49*b**3.\nAnswer: 92*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 8*z + 20. Let w be q(-1). Differentiate w*v - 25*v - 51*v - 32 - 3 - 20*v wrt v.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19\/10 + -137\/80. Let j = 18 - 18.29. Let r = 0.29 + j. Do i and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190317700 is divided by 347?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) 0  (b) 0.03  (c) -124.6  (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, f: 4, u: 3, w: 6, z: 2}. Give prob of sequence wffz.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -29702 and 258?\nAnswer: -7663116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2. Let v(g) = -18*g**2 - 3. Let t(p) = 126*p**2 + 22. Let m(k) = -6*t(k) - 44*v(k). What is w(m(y))?\nAnswer: 1296*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 929.92 times 5?\nAnswer: 4649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.3 + -1.3. Let g = -5.5 + 6. Let h = 7 - 5. Which is the closest to d?  (a) g  (b) 0  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 2) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 378 + -48590?\nAnswer: -48212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(1\/3)*s\/s**(2\/7))\/(s**(-2\/3)\/(s\/((s*s*s**(-11)*s)\/s)*s)) assuming s is positive.\nAnswer: s**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -271 or -269?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5, -3, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w - 42 = 15*w + 4*n, 4*w - 181 = 3*n. Calculate the remainder when 104 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w - 15 = 6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c**2 - 16*c + 27. Suppose -25*s - 72 = 153. Let i be j(s). Let t(b) = -b**2 + 9*b + 10. Give t(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 72, 84, 98, 114, 132, 152?\n\"Answer: l**2 + 9*l + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + 1. Let j(f) = -f**2 - 1. Let n(x) = -4*j(x) - 5*p(x). Let s(b) be the first derivative of n(b). Let o(q) = -2*q. Determine o(s(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fd when two letters picked without replacement from kkdkkwddkdwdfddfd?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 91*i - 4. Let f be (-4)\/14 + (-344)\/(-28). Let c(y) = -y**2 + 14*y - 9. Let b be c(f). Is u(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0018 + 0.0018. What is the second smallest value in 1, j, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22568338 divided by 11284169?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 2 - 11. Suppose 4*m - 3*g - 2*g - 22 = 0, 2*m = 3*g + 12. What is the second derivative of -a**z - a - 27 + 27 - 2*a**m wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-250)\/(-3 - 2) + -6. Suppose g = 5*o + 24. Suppose -2*m + 4 = -0. Solve -m = 2*x - o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(42)\/sqrt(3)*-2 - (sqrt(14) + sqrt(1694)*-1 + sqrt(14) - sqrt(14)))\/((sqrt(18)*-1)\/sqrt(9)*-3))**2.\nAnswer: 448\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -94 + 85. Suppose 447 = 2*s - h*a, -4*a - 363 - 307 = -3*s. List the prime factors of s.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**2 + 1664*t - 24060.\nAnswer: -4*(t - 401)*(t - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*(s\/(s\/(s\/s**(-19))))\/s)\/s)**(4\/33)\/(s**(-31)\/s**(-2\/31)) assuming s is positive.\nAnswer: s**(34003\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1598234657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*g, -17 = -3*q - 0*g + 4*g. Let k be (-3)\/(-9) - (-113)\/q. Let b = -19 + k. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 189\/162*120\/4830\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let 25*d**3 - 1780*d**2 + 2105*d - 350 = 0. Calculate d.\nAnswer: 1\/5, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ac8 + -e4e?\nAnswer: -1a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**2 - 5*z + 7. Let q be m(7). Suppose -q = -3*a + 46. Suppose -x + a = 4*j, -x - 2 = -1. Calculate the highest common factor of 98 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 145*i = 163*i + 36 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: a65870 (base 12) to base 15\nAnswer: 36c10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12*r**3 + 13*r**2 - 986*r wrt r.\nAnswer: -72*r + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.1 in -6\/7, 0.3, -2\/7, -54, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/2 + 36\/8. Suppose 0 = 2*u - m*u + 42. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of 5*t**2 + 75. Let u(w) = -16*w**2. What is d(u(b))?\nAnswer: -160*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/6)\/(2\/(-15)). Suppose a + z = 2*i - 5, 3*a = 5*i - 27. Solve i*x = 13 - 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 4*z - 15 = 1, 4*t = 4*z + 12. Let i(k) = 3*k**2 + 13*k - 30. Calculate the remainder when i(2) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 643428 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 4*h + 3 = 0. Suppose -2*c - h + 35 = 0. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 252 = -2*u, 4*u - u = r + 398. Is 13 a factor of u\/8 + 2\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 629 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 585726.\nAnswer: 2, 3, 41, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 4*n**2. Let g(f) = 13455140*f. Give g(r(l)).\nAnswer: 53820560*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 6:21 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 4) + 1 + (-69 + -6 - -48)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w\/(w**(2\/5)\/w))\/w*w)**(-47))**(-1\/6) assuming w is positive.\nAnswer: w**(611\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*i**5 - 66*i**4 - 157*i**3 - 132*i**2 - 36*i = 0.\nAnswer: -3, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1752 by -5.\nAnswer: -1752\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 255422.\nAnswer: 2, 127711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10843941*l - 37662669?\nAnswer: 10843941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2409*w - 81770. Determine u(34).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/285 and 113\/2908780.\nAnswer: 165800460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1026287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 2734.\nAnswer: 2\/1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - -3342?\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add -4.8533 and -0.918.\nAnswer: -5.7713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5641\/1656 + -7\/184. Let t = -1327 + 711. What is the common denominator of (t\/180)\/((-12)\/(-15)) and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -27845 less than or equal to -7093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -415, -385, -349, -307, -259?\n\"Answer: 3*v**2 + 21*v - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -47628 or 5?\nAnswer: -47628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2481 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: Four letters picked without replacement from mjwmmwwmwmjwmmmm. What is prob of sequence wmww?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-5\/3))**(-4\/33)*(x*x\/((x*x\/(x\/(x\/(x**14\/x)))*x)\/x))**(-40) assuming x is positive.\nAnswer: x**(-51460\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 196748 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 295 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 13*c - 46. Let b be t(11). Do b and 97 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-12)\/2)\/(231\/(-22)). Let a = 6011\/15 + -401. Sort 4, j, a.\nAnswer: a, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1\/h)**(-4\/5)\/((h**(-5)*h)\/h**(-2\/5)) assuming h is positive.\nAnswer: h**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of g**5\/20 + g**4\/6 - 3*g**3\/2 - g**2\/2 + 8*g. Let r be (-198)\/(-30) + 5\/(25\/2). Is i(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -z + n + 17, -34 = -z - 2*n. Calculate the least common multiple of z and 102.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5604 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of -i**6\/15 + i**5\/2 + 7*i**4\/6 - i**2 - 5*i - 11. Find the third derivative of t(n) wrt n.\nAnswer: -48*n + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12184983 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 274 + 20\/4 - (6 - 2) and 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 24*s = -1416. Calculate the highest common factor of s and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/6  (b) 0.055  (c) -0.1  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5063003627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -3, -2\/17, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 25*i - 30*i - 14 = 0, 0 = 4*p + 2*i - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 3726*m - 4. Let j(x) = -2*x**2 + 5*x - 4. Give n(j(v)).\nAnswer: -7452*v**2 + 18630*v - 14908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14.5 + -14.1. Let x = -1.55 - -0.85. What is the second smallest value in -2\/5, x, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11)\/(440\/8))\/((-2)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (20\/(-20))\/(-2 + (-75)\/(-39)). Let f(m) = m**2 - 11*m - 22. Let y be f(p). Let h be ((-2)\/(-4))\/((-1)\/(-16)). Solve 0 - h = -y*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3625.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 35 - (-1 - (-12)\/4). Suppose -104 + l = -5*c + 2*m, -3*m + 17 = 2*c. What is the second derivative of -q - c*q**2 + 13*q**2 + 6*q**4 - 4*q wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 808244 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-4 - (-180)\/(-42)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/2291093 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (32\/(-400))\/((-1)\/5). Let i = -5.054 - -0.054. What is the smallest value in a, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 83 - 48. Let h(p) = -87*p + 3. Let j be h(2). Let i = j + 180. What is the remainder when o is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 + -18. Suppose -3*o + 40 = 4*n, 5 = m*n - 0. Calculate the lowest common multiple of o and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52556301.\nAnswer: 3, 7, 41, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (93\/(-186))\/(5\/1042) + (-1)\/(-5)\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) -1  (c) -1\/2  (d) 0.32511  (e) 0.3  (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -x**4 + 73*x**2 + 288*x wrt x.\nAnswer: -12*x**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30 - 30. Let b = 3.2 + -3. Let y = -3.6 - 0.4. Put u, y, b in ascending order.\nAnswer: y, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*f - 14 - 5*f + 14)*(26 - 28*f - 26) to v + b*f + y*f**2 and give y.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7 + 4)*(-63640)\/15. Let j = 78938 - 23666. Let r = j + l. What is r rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133943111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61, -75, -85, -91, -93, -91, -85?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -1) + -42 + (196 - (193 - 1)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*p - 46 = -5*s, -5*p + 7 = 2*s. Calculate the remainder when -1*(1 + -33) + -2 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(48\/40) + -5 + 1. Suppose 23 = 8*l - j. Suppose -16*n + l*n - 13 = 0. Which is bigger: -2\/29 or n?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - 24*256\/(-624).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 335168 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2 = 4*s. What is the common denominator of 5\/(20\/27)*2 and ((-166)\/48)\/(s\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6238 = 23*q + 1684. Is q a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*m + 241*m = 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 26 - 24. Suppose -m + l*m = 4. Suppose 0*h + 2*h + m*s - 52 = 0, 5*s = 5*h - 55. Calculate the lowest common multiple of h and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, w: 6}. Give prob of sequence jjj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 60956*c**2 + 365712*c - 144 = 0.\nAnswer: -6, 6\/15239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.05 and 602.\nAnswer: 602.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 593694539 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8.13 + -0.13. Let w = 1.3 - 9. Let k = t + w. Which is the second biggest value?  (a) 4  (b) k  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*i + 67518 = 15592. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 99302386 is divided by 244.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*f - 857 + 241 = 0 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - r + 3*j = 4, -3*r = -2*j - 56. Is (3*10)\/(12\/r) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -2*b + 5*b. Let k(m) = -6*m - 8. Let i(g) = -7*g - 9. Let o(p) = b*i(p) - 6*k(p). What is the remainder when 21 is divided by o(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 137, 174, 211?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + v - 3)*(7 - 5 + 8)*(-3*v - v + 2*v) - 3*v**2 + 4*v**2 - 3*v**2.\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 0 + 1 + 2 - 8*b. Let v be h(2). Let t = 21 + v. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1620\/648 + (-94)\/28.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420620422 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.5 + 0.2. Let j = r + -0.2. Let i = 1.2 + 3.8. Which is the third biggest value?  (a) j  (b) i  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9556 - 5461. Let s = 554 + w. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 1720  (b) -0.1  (c) -2\/5  (d) -7\/3  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from joooj. What is prob of sequence ojj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 4*f**2 - 6*f + 2. Let m(r) = -4*r**2 + 5*r - 1. Let q(c) = -5*l(c) - 6*m(c). Determine v, given that q(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -27*f - 35. Calculate r(-4).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2948327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -43, -89, -135, -181?\n\"Answer: -46*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 66*g - 67*g. Solve g*q + 8 = -0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.05539 * -5\nAnswer: 0.27695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -201113 - 1130121?\nAnswer: -1331300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 - 592*x**2 + 1537*x - 210616. Determine p(590).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -68444 - -39233. What is w rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 - 6*m**2 - 7*m - 11. Let g(w) = -w - 3. Determine -c(y) + 4*g(y).\nAnswer: y**3 + 6*y**2 + 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 13, m: 2, j: 5}. Give prob of picking 1 j and 3 q.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5053a7 + 32?\nAnswer: 5053d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, u: 11}. What is prob of picking 2 u?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-156)\/(-2574)*-715*(-3)\/15.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -278*g**3 - 24*g**3 - 7 - 32*g**3 - 24*g**3 + 362*g**3.\nAnswer: 4*g**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 4 + 2 - 4 - 15*o + 5. Is 22 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 5*o + 17 = 0, 5*o = -7 - 8. What is the third biggest value in 5, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 1 + 3)*(22 - 13 + 31)*(-69*d**2 - 120*d**2 - 91*d**2) as j*d + h*d**2 + n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -19614*0.8\nAnswer: -15691.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + u + 25 = 0, -26*t - 3*u + 23 = -24*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add -290 and -4693940.\nAnswer: -4694230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = 5*q - 2*s, 2*q + 33 = -q - 2*s. Let d = q + 14. Let v(n) = n**2 + 13*n + 9. Let r be v(-12). Put 1, r, d in descending order.\nAnswer: d, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31078 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*z**2 + 31*z**2 + 2*z + 3*z + 0*z wrt z.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2919839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*a - 228 = 231. Suppose -a*w + 6501 = 6*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -12\/49  (b) -17  (c) 55  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/542 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the second derivative of 1\/6*i**3 + 2*i + 0 - 1\/12*i**4 + i**2. Factor j(p).\nAnswer: -(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccm when three letters picked without replacement from mmmmccccmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 76.2 - 76. Let h = -145 - -148. What is the closest to 1 in 2\/9, w, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 + (-400081)\/(-33))*3.\nAnswer: 2, 13, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24 - -22.7. Let j = -0.8 - v. Which is the smallest value?  (a) j  (b) -1\/4  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/5*s - 13\/10*s**3 - 6\/5*s**2 - 3\/5*s**4 - 1\/10*s**5 + 0.\nAnswer: -s*(s + 1)**2*(s + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26 - 23. Suppose -26 = z*s + 73. Let b = s - -49. What is the highest common factor of b and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 2*r. Let i = 4841 + -4840.7. What is the nearest to 0.13 in 0.1, r, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-2) - 13308969\/(-246) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of -b**3\/3 + 7*b**2\/2 + 5*b - 2. Let r be (-9)\/6 + ((-360)\/(-45) - 3\/6). What is x(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1983654, -1983629, -1983600, -1983567?\n\"Answer: 2*h**2 + 19*h - 1983675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2623 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**3 - 1113*t**2 - 104292*t - 302940.\nAnswer: -3*(t + 3)*(t + 170)*(t + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from {z: 8, m: 4, h: 2}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 16 - 12. Suppose -k*f - 74400000 = 4*f. Round f to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56989025.\nAnswer: 5, 479, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-20)\/(-6)*6\/(-74). Let b = 61\/185 - z. Sort b, 0.3, -2\/7 in descending order.\nAnswer: b, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(243) - 6*(0 + sqrt(243)) - sqrt(243))**2 - (3 + sqrt(243)*-3)) + (-3 + (1*sqrt(243)*-3)**2)*-2.\nAnswer: 27*sqrt(3) + 4377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 88\/(-20)*10\/4. Let c = v + 13. What is the smallest common multiple of c and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8148*j**4 - 25739*j wrt j?\nAnswer: -97776*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -9, -0.6, -1\/11 in decreasing order.\nAnswer: -1\/11, -0.6, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 4*o**2 + o**2 - 4*o**2 + 2*o**2. Determine h(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2216, 4315, 7818, 12731, 19060, 26811, 35990?\n\"Answer: n**3 + 696*n**2 + 4*n + 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - (-127)\/(-65)) + (-4)\/20?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1c (base 15) to base 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -9*h + 7. Let d(k) = 106*k - 27*k - 27*k - 36*k - 21*k + 4. What is -11*d(j) + 6*s(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 28*p + 28*p + 71*p - 3048. Let b(i) = 2*i**3 - 56*i**2 + 191*i + 27. What is b(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2\/399 + -272\/1197. Let t = -0.8 - 171.2. Let y = t + 171.8. What is the closest to y in -3, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + b - b)*(2 - 2*b - 2)*(-b + 2*b - 2*b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 139 = 1. Let l = 3 + 2. Suppose -5*j = -l*h - t, 4*j + 2*h - 12 = 44. What is the greatest common divisor of 98 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -157313, -157311, -157309, -157307?\n\"Answer: 2*s - 157315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 5485 = 4*b - 863, -4*b = -12. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 477.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 55, -1 in increasing order.\nAnswer: -1, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44218359 and 99.\nAnswer: 486401949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -11*f. Suppose -1 = -4*p + 3. Let r(c) = -1. Let d(o) = o + 5. Let m(l) = p*d(l) + 5*r(l). Calculate m(q(s)).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -9 - 6. Suppose -c*f = h - 6*h - 43, 0 = -f - 5*h + 21. Suppose -f = -m + i - 3*i, 0 = 5*i - 5. What is the remainder when m is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t**5\/6 + 5669*t**4\/6 + 45305*t**3\/6 + 96247*t**2\/6 + 9435*t = 0. What is t?\nAnswer: -5661, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 4*y - 128. Suppose y*g - 18*g = 0. Solve 2*x + 10 - 2 = g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**2 - p - 6. Determine n(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (y + 0*y + 0*y)*(-7*y - 14*y + 15*y) + y**2 + 0*y**2 - 7*y**2 to the form f*y + a + j*y**2 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -35.68 - -27.138929.\nAnswer: -8.541071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -1, 16, 1, 5 in descending order.\nAnswer: 16, 5, 3, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 5428274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:29 PM and 3:23 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -964058 divided by 482029\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + 0*l - 2*l)*(4*l**4 + 44*l**4 + 71*l**4).\nAnswer: -119*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -64 + 190\/3. Which is the third smallest value?  (a) 0.1  (b) -2  (c) 5  (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 15607563 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 286008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.8 and 41.13.\nAnswer: 32.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of -1\/2*d**6 - 1\/2*d**4 + 0*d**5 + 58 - d**2 + 14*d + 0*d**3. Find the second derivative of r(h) wrt h.\nAnswer: -60*h**3 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15234335047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand g**4 + g**4 - g**4 + (-1 + g + 1)*(-4*g**3 + 3*g**3 + 8*g**3) + g**4 + g**2 - g**2.\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p**2 - 13*p. Let q(a) be the third derivative of -a**4\/12 + a**2 + 114*a. What is q(b(r))?\nAnswer: -4*r**2 + 26*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of l**5\/60 - l**4\/6 - 4*l**3\/3 + 3*l**2. What is the remainder when 24 is divided by z(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-6)*(-8)\/(-6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {g: 3, c: 13, p: 2, m: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -11.18 take away 864539838?\nAnswer: -864539849.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5376899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of -s**6\/3 + s**5\/4 + 25*s**4\/12 + 5*s**3\/3 - 18*s. Factor u(p).\nAnswer: -5*p*(p - 2)*(p + 1)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, -5, -132, 1, -3082 in increasing order.\nAnswer: -3082, -132, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1722, -1721, -1718, -1713, -1706, -1697, -1686?\nAnswer: -1673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1328*k = -31827 - 5357 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 34\/509?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzozzzzzzzz.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 34861 and 1.\nAnswer: 34861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/2*(-168)\/(-154).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-72)\/(-8)*560\/(-315)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2 from -5.17.\nAnswer: -7.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -4*z**2 - 20*z + 71. Let g be y(3). What is the common denominator of ((6 + 153\/g)*-9)\/(-1) and -99\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 408 by 113.\nAnswer: 408\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12967528 to the power of 1\/3, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1554215, 1554231, 1554259, 1554299?\n\"Answer: 6*q**2 - 2*q + 1554211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -88*k**2 + 6851*k - 314. Calculate t(78).\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -88 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/3 and 23\/6170.\nAnswer: 18510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*-4*(-2)\/(-50)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of -43*q**4\/24 + q**3\/3 + 41*q**2 - 13*q. Let r(w) = w. Give n(x) + 6*r(x).\nAnswer: -37*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**4 - t**4 - 3*t**4 + (3*t + t - 6*t + (-1 + 5 - 3)*(-1 + 1 - t) + 2*t - 5*t + t)*(-2*t**3 - t + t).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 182737?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2*z. Let m(h) = 14*h - 4. Let y(p) = 6113*p - 20. Let x(n) = -15*m(n) + 3*y(n). Calculate x(t(q)).\nAnswer: -36258*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 5*k - 9 = -r, 12 = 3*k + r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 8 - ((19 - 2) + -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -115*t - 12832 = -83*t. Let j(k) = k**3 + k**2 + 568. Let i be j(0). Let h = i + t. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 402646 is divided by 1657?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 + 30*v - 8*v**3 - 33*v + 7*v**3 + 3*v**2 in the form i*v**3 + c*v + h + w*v**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 44773 = 44271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -47348*q**3 + 25636*q**2 - q?\nAnswer: -284088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 AM and 1:28 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*(-1)\/(-2) - 0. Let n = -427 - -426.9. Let p be ((-20)\/(-8))\/(2\/4). Which is the nearest to j?  (a) -0.2  (b) n  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/192 and -17\/48.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*x + 0*x + x**4 - 2*x - 1 - 2*x**3 + 7*x to the form g*x**2 + o*x + h + v*x**4 + f*x**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 + 17*j**2 + 57*j - 344. Give c(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*q**2 + 12 - 12 + (2*q**2 - q**2 + 0*q**2)*(1 - 1 + 1).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of t**5\/20 - 11*t**4\/12 - 33*t**2. Find the second derivative of l(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46475736 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 54408 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -327772 and 140.47?\nAnswer: 327912.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4789115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (((-1)\/(-3))\/((-17)\/51))\/1. Let y = -4 - -4.3. Which is the third smallest value?  (a) k  (b) 5  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*y + 3*y - 2*y + 0*y)*(-21*y**3 - 12 + 12) as w + j*y**3 + c*y + u*y**4 + g*y**2 and give u.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*c - 75*c = -2919. Is c at least -138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3 + 204*i**2 + 4752*i + 15616.\nAnswer: -2*(i - 122)*(i + 4)*(i + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 213 (base 4) in base 5?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - -8. Suppose 0 = 3*p + u - 11, 3*p - 23 = -2*p - 4*u. Solve -b + 3*z = p + n, 3*b = -z + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 26489192*c - 26489091*c - 3535 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of 0*z + 1\/24*z**4 + 1\/6*z**3 + 0 + 1\/240*z**5 - 20*z**2. Factor x(j).\nAnswer: (j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 135*z + 136*z + 7 = 0, -14*z - 98 = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 4*j = 5557 - 5545, 0 = b + 4*j - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11511 - 110275 = 2611*n + 92888 - 45436 for n.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*z - 50*z + 144*z - 46*z - 158.\nAnswer: z - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 p when three letters picked without replacement from wpppwmfpfpfp.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 10*r**3 - r**2 - 7*r + 8. Give s(3).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 5*l - 2*r, 2*l + 4*r + 6 = 4*l. Let y be l\/(1 + (-12)\/9). Calculate the greatest common divisor of 60 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 2*w = 28506, 0 = 4*w + 25 - 45. List the prime factors of j.\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1430699712 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*y**3 - 15*y**2 - 20*y + 60.\nAnswer: 5*(y - 3)*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*s + s**2 + s**3 - 9*s - s**4 + s**2 to t + m*s**4 + i*s**3 + q*s + o*s**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -4006038 not equal to -4006037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of y**5\/30 + y**4\/8 - y**3\/3 - 4. Let o(f) be the third derivative of z(f). Let v(r) = -2*r - 1. Determine 2*o(n) + 5*v(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/2)\/p)\/((p**(-1\/11)*p)\/p*p*p)*(p*p*p**(-6)*p)\/(p*p*p*p**(2\/13)\/p*p))\/(p**(1\/3)*p*p**(1\/2)*p\/(p\/(p**(3\/10)*p))*p**(1\/6)) assuming p is positive.\nAnswer: p**(-9197\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -202 - -445428?\nAnswer: 445226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 + 9. Suppose 6*n - 12 = y*n. Suppose n*h + 0*h + 39 = z, -2*h = 10. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 + 4 - 4 + f + (-64*f + 138*f + 50*f)*(-1 - 2 + 1).\nAnswer: -247*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.375 - -7.375. Let t be (-3)\/(-6) + (-1)\/14. What is the smallest value in 5.7, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 3) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1910, 1908, 1902, 1892, 1878, 1860?\n\"Answer: -2*x**2 + 4*x + 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2*21*(-14)\/42. Factor 3*w**3 + 2*w**4 - y*w**4 - 6*w**3.\nAnswer: -3*w**3*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45686925 and 4275.\nAnswer: 45686925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2137 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**3\/15 - 6310*j**2\/3 - 41480362*j\/5 - 41469846\/5 = 0 for j.\nAnswer: -7887, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20240434 divided by -697946.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 11 - (0 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31755085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1076 = 9*i - 293. Let f = i - -92. Suppose -20 = -f*u - 10. Solve 0*a - a + 4*b = -14, u*b = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 13 = 7*x - 5*x, x + 10 = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o + 9. What is z(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -193 + 187. Is ((-4)\/s)\/(4\/15942) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -38 + -23?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -0.2, 5\/6, -1\/3 in decreasing order.\nAnswer: 5\/6, -0.2, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 65*a - 102 = 82*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2599864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 3 = 3*g + m, -2*g = -4*m - 12. Suppose g = -6*s + 5*s + 5. Suppose -s*u - 19 = -219. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 2\/5, -135 in decreasing order.\nAnswer: 5, 2\/5, -2, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -70*v**2 - 287. Let o(y) = -3*y. Determine o(u(c)).\nAnswer: 420*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (-447*x - 281*x + 174*x + (1 + 5 - 4)*(-x - 3*x + 2*x) - 2*x + 4*x - 3*x - 1 - 2*x + 1)*(-x + 0 + 0) in the form a*x**2 + v*x + s and give a.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of -h**3\/3 - 3*h**2 + 3*h - 1. Suppose -4*n + 64 = 60. Calculate the remainder when g(-6) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2554*x - 5512*x = -2537*x - 1263 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 2*p - 28. Solve 0 = 4*l + p + 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -8\/37, 1\/4, -3 in descending order.\nAnswer: 3, 1\/4, -8\/37, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 PM and 4:59 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5440348031?\nAnswer: 5440348031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.465 plus 3.4?\nAnswer: 2.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -6*y. Let i be t(2). Let c = i + 0. Let k = -4 - c. What is the lowest common multiple of 6 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -6*b**2. Let i(c) = 6*c + 17. Let r(g) = -7*g - 23. Let k(n) = -3*i(n) - 2*r(n). Calculate s(k(m)).\nAnswer: -96*m**2 - 240*m - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -217*f + 949*f - 615*f - 16380 for f.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*z - 5 = -32*z - v, 20 = -3*z + 4*v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 4 + 0 = 0. Suppose g*s + 3*w = 3*s + 9, -117 = -5*s + 3*w. Let x = s - -6. What is the highest common divisor of x and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 628 = o + 2*i, 5*o - 2545 = o + 3*i. Let n = o + -375. Suppose 0 = 4*t - 4*d + 35 - n, -d = -4*t + 239. What are the prime factors of t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: -1287988 divided by 18941\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/12)\/((-10)\/((-1170)\/117))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 - 1033*b**2 + 4383*b + 243697. Give f(-1037).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 609 - 434. Does 40 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j + 17. Let c be d(-8). Let s be 4 - 0 - (511 + c). Is 176\/32*s\/(0 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 679.9338 months in years?\nAnswer: 56.66115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 4260865*g. Let v(y) = -3*y. What is v(r(c))?\nAnswer: -12782595*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2. Let d(k) = k**2 - 5*k - 2. Let i(m) = m**2 + 1. Let b(o) = -d(o) - 6*i(o). Let u(j) = b(j) - 6*n(j). Determine u(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 392\/(-6)*3 - 4. What is x rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 7:08 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 7. Suppose -66*l - 4046 = -19556. What is the smallest common multiple of m and l?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 13*i**2 + 2. Let t = 38 - 51. Let c be a(t). What are the prime factors of ((-945)\/(-18))\/(c\/4)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11\/(363\/(-6)) + (-5)\/((-495)\/172).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 88 and 110049184?\nAnswer: 1210541024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {o: 4, p: 2, n: 5, v: 2}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12 in 2, -0.0275, -1, 0, -2\/139?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-six fifths of a kilogram in grams?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -6. Suppose 0 = -p - p + o*q, 4*p - 3*q = 5. Let -p*a**2 + 12 + 0 + 26*a + 2*a**2 - 7*a**2 = 0. Calculate a.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 4*x**2 - 11*x + 2. Let q(w) = 2*w - 17. Let k be q(17). Is a(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(-4) + 102\/1496. Let q = -9.9 + 6.8. Let o = q + 0.1. Which is the third smallest value?  (a) j  (b) 2\/7  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 277*p - 25*p**5 + 10*p**5 - 278*p + (0*p**3 + 3*p**3 - 2*p**3)*(-5*p**2 - 6*p**2 - 2*p**2).\nAnswer: -28*p**5 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10526 - -241?\nAnswer: 10767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*j - 1446 - 576 = 562 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + 3*h - 22, n - 2*h + 0*h = 0. Suppose 4*d - 888 = -n*f, 0 = f - d + 8 - 228. List the prime factors of f.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 210\/(-6)*67\/(-670)*160\/104?\nAnswer: 70\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of -w**6\/3600 + w**5\/200 - 3*w**4\/80 + 8*w**3\/3 - w**2. Let v(n) be the first derivative of d(n). Factor v(f).\nAnswer: -(f - 3)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 0 + 0)*(4 - 4 + 2) + (2*s - 3*s + 0*s)*(-71 - 176 - 151).\nAnswer: 402*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-20)\/(-8))\/((-7)\/(-14)). Solve 3*y + 0*g = -j*g + 15, 2*g + 25 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 9 + 1 = -2*r, 3*m - 5*r + 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2575099?\nAnswer: 71, 36269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 99 = 4*o + 37, 4*d - 76 = -4*o. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -6*k + 276975, 5*l - 213565 - 17260 = -5*k. List the prime factors of k.\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.6 + 1.4. Which is the fourth biggest value?  (a) r  (b) 0.5  (c) 2\/9  (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 times 6943\nAnswer: 6943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the first derivative of -2*p**5\/45 + 5*p**4\/6 + 2*p**3\/9 - 47*p**2\/9 + 20*p\/3 - 38. Find y such that c(y) = 0.\nAnswer: -2, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 11 - 3. Let w = -0.87 + -0.13. Let l = 0 - -0.1. Which is the nearest to l?  (a) w  (b) g  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 359585, 719145, 1078709, 1438277, 1797849, 2157425, 2517005?\nAnswer: 2876589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/(-21))\/(9 + (-2413)\/266).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7140 and 18611600.\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 6 - 35)*(5*z**3 + z**3 - 4*z**3) + (-37 + 33 + 26)*(-4*z - z**3 + 4*z).\nAnswer: -110*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/2493 - -32417\/19944. Let n be (-4)\/10*(-10)\/2. Calculate the common denominator of (22\/(-24))\/(n\/18) and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2091964.\nAnswer: 2, 7, 74713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2045317 is divided by 1022649?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 - 10*q + 45. Give h(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3 - 2692)*3\/(-3). Let v(g) = 718*g. Let c be v(2). Let h = s - c. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 70 - 76 + l - l + 0*l**2 - 14*l**2 as d + z*l**2 + y*l and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d - 2*d + 83*d**2.\nAnswer: 83*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -607.348 bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*k + 27 = -68*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61*q - 56*q = 35. Solve -5*c + 2*a = -q, 0*c - 4*a + 28 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2\/(-5))\/((0 + 33)*8\/120). What is the third biggest value in -31, g, 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 535 - 536.399. Let h = -1.399001437 - y. Round h to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -24\/421 and 27\/23.\nAnswer: 9683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6441840 and 18240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -49936, 2 in descending order.\nAnswer: 2, -5, -49936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 700592905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s**2\/s)\/s*s\/s**(2\/5))\/(s*s*s**(2\/3)*s)**(-5\/3))**11)**(7\/2) assuming s is positive.\nAnswer: s**(11627\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -61, -223, -493, -871, -1357, -1951, -2653?\n\"Answer: -54*t**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 127 and -1658.\nAnswer: -210566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 308, 0, 2, 168, 4, -1, -2.\nAnswer: -2, -1, 0, 2, 4, 168, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -11794.902 rounded to the nearest 10?\nAnswer: -11790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 7 = -3*k - 0*x, 0 = 4*k + 4*x - 4. Solve -c + 5 = 3*n, 2*n + k = -4*c - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -33*k + 28. Let r(n) = 15*n - 15. Let w(y) = -4*i(y) - 9*r(y). What is w(12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-1\/4)*n)**44)**(2\/43)\/(((n**0\/n)\/n)\/(n\/(n\/((n*n**(-1\/10))\/n)*n))*n**(-2)*n*n**(-4)) assuming n is positive.\nAnswer: n**(4077\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5758\/8643 - -4\/8643. Let v(w) = 1 - 2*w - 3*w**2 + 3*w - 5*w**2. Let j be v(-1). Which is the closest to j?  (a) f  (b) -0.2  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 + 20 = -5*r, 5*d + 4 = -4*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5\/8 + -1\/8. Let r = 0 + 0.1. Let b = 219308.4 - 219308. What is the nearest to m in b, -1\/10, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (4 + 1 + -4)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w**2. Let t(m) be the first derivative of -533*m**3\/3 - 2*m + 12937. Give h(t(k)).\nAnswer: -568178*k**4 - 4264*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 235024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5332 and 1204.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 14, u: 4}. Give prob of picking 2 x.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -223, 11, -2, -1, 1 in descending order.\nAnswer: 11, 1, -1, -2, -5, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeneneddeeeeeegeeee. Give prob of sequence eden.\nAnswer: 91\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n**(-3\/5)*n*n**(-2))\/((n*n**(-6))\/n**(1\/18)))**(-7\/10))**(8\/11) assuming n is positive.\nAnswer: n**(-4354\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, t: 2, u: 8, y: 1, j: 6}. Give prob of picking 2 t and 2 u.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 2*n = 8, 0*k = -4*k - n - 435 + 467 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89597499*b**2 - 212*b**3 + 4*b - 4*b - 89597501*b**2.\nAnswer: -212*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 827 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-33) - 40\/(-22). Suppose 0 = t + c - 5. Suppose -t*q - 8 + 26 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in 0.21, 1\/30, 0.4?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44681419 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3370.4014 - -95.1.\nAnswer: 3465.5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 283 divide 247625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**3\/9 + 566*y**2\/3 = 0 for y.\nAnswer: -849, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + -2.2. Let h = 0.3 + -0.1. Let d = 0.2 - h. Is d at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 7*r**2 - 21*r + 23. Let u be b(-7). What is the highest common factor of 54 and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pzhpzzihphpzhph. Give prob of picking 2 h and 1 z.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -148691\/3 + 49563. Suppose i = -3*i - 20. Let v be (5\/(-35))\/(12\/14). Sort i, v, h, -3 in descending order.\nAnswer: v, h, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0669+1720\nAnswer: 1719.9331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -0.382?\nAnswer: -1.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1647 and 26108?\nAnswer: 704916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -8. Suppose c = -z + 3. Solve -3*y + 30 = -5*t + z*y, 0 = -3*t + 2*y - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -d**3 + 3232*d + 3218*d - 6447*d + 9 - 5*d**4 in the form c*d**2 + g*d**3 + h + a*d**4 + i*d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44 + 49. Suppose 53 = r*c - 17. Suppose 0 = -0*y - y + c. Calculate the highest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 18*s**2 - 4*s + 5. Let h(u) = 9*u**2 + 2*u - 2. Determine 5*h(f) + 2*r(f).\nAnswer: 2*f**3 + 9*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 599*i - 791*i + 522*i)*(-2*i**2 - 2 + 2)*(-5*i**2 + 2*i**2 + 5*i**2).\nAnswer: -1320*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 + 3 + 71*1\/(-37). Suppose 5*n = 3*n + 2*x + 20, 4*x = -5*n + 5. Suppose 3*z + 5 = -2*g + 2, n*z - 5*g - 20 = 0. Which is greater: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 1150 = -2*k - 1188, -y + 10*k = -214 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 92284 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 AM and 2:24 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4129\/84 + -197\/4. What is the smallest value in p, 4, 1, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n + 24. Let u be ((-380)\/(-12))\/(110\/66). What is m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, w: 1}. Give prob of picking 1 z and 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 122535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22248346.\nAnswer: 2, 443, 25111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2465 - -2484.104. Let l = v + -19. Let i = 0.10486 - l. Round i to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -74, -45, -12, 25, 66, 111, 160?\n\"Answer: 2*z**2 + 23*z - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -5, -6 - 1 = -r + 4*g. Calculate the least common multiple of 7 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from okttsshokotsoottt.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 43018*g**6 + 4*g**5 - 292236*g**2?\nAnswer: 5162160*g**3 + 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -33, -5.\nAnswer: -33, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*m + 412 = 16*m. Find l such that 206 - l**2 + 2*l - l**2 - m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, 53 in increasing order.\nAnswer: -5, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24, -183, -472, -891, -1440?\nAnswer: -2119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = w - 4*i - 13, -9*i + 8 = -4*w - 8*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -1.9, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 83177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2 and -72739663?\nAnswer: 145479326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 - 18*l - 15. Let o be z(-17). Suppose -2*b + 2 - 7 = -3*q, -o*q - 5*b = 3. Let g be -2*q\/132*1. Is g at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1c298 (base 13) to base 15\nAnswer: -11628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2*t**3 + t**2 + 2*t + 4. Let w be c(2). Let m = 15 - 7. Let k be (-2)\/m - (-30)\/(-8). Is k greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 314, -33462, 4 in descending order.\nAnswer: 314, 4, -3, -33462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 318042750 and 261405.\nAnswer: 954128250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 - 7550*f - 2850125.\nAnswer: -5*(f + 755)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 659336709.\nAnswer: 3, 227, 239, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -191.1 - -242. Let m = a - 51. Let q = -1 - -4. What is the third smallest value in m, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1190392 decades in centuries?\nAnswer: 0.01190392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:50 AM and 12:56 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (14\/5)\/(1\/5). Suppose f*n = 5*n. Suppose n = 3*b - 3*y + 6*y - 153, -5*b + 5*y = -255. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -51490*r**4 - 70126*r**2 wrt r.\nAnswer: -1235760*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*s - 2*v - 13 - 3, 4*s + 72 = -4*v + 32 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + ((sqrt(17) - (sqrt(153) + sqrt(17))) + 4 - sqrt(425)*-2)**2)*-4.\nAnswer: -3380 - 224*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 570044300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3\/30)\/((-171)\/(-190)))\/(6\/(-4))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 102 + -55. Suppose 4*z - j - 197 = 0. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*s + 389 = -2461. Solve 0 = -p + 3*d + 20, s*d + 15 = 5*p + 52*d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 3*h - 6477 = 0, -a - 5*h = -1036 - 1095. What is the greatest common factor of a and 1026?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3709 - 4056. Which is smaller: f or -345?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -4*v**3 - v**2 + 13*v. Let c(o) = -3*o**3 - 2*o**2 + 10*o - 1. Let p(f) = -3*c(f) + 2*w(f). Determine p(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -237*i**3*p*z - 4*i**3*z - 2*i**2*p + 104*i*p*z - i*p - 3*z wrt i.\nAnswer: -1422*p*z - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 2*y**2 + 26*y + 28. Give q(-9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 15*o**3 - 81246*o**2 - 2007879*o + 816150 = 0.\nAnswer: -25, 2\/5, 5441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/8 - (-3)\/(-12). Let t = 1 - h. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/201893?\nAnswer: -2\/201893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-76)*272\/1020)\/(6\/(-15))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 4291, 4277, 4263?\n\"Answer: -14*z + 4305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence okow when four letters picked without replacement from {w: 1, c: 1, x: 4, p: 3, o: 4, k: 5}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -299 - 56*o - 2027 - 1993.\nAnswer: -56*o - 4319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 21031000322101?\nAnswer: 21031000322110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z. Suppose -w - 5*a = 3*w + 3, 0 = 3*w + 2*a + 4. Let v = w - -5. Let s(q) = 0*q + v*q + 0*q. Determine y(s(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*(s\/s**(-5))\/s*s)\/(s**1\/s))\/(((s\/s**(2\/5))\/s*s)\/(s\/(s\/(s**(-7)*s)))))\/((s**(2\/7))**(-20\/9))**(3\/8) assuming s is positive.\nAnswer: s**(67\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2 and -257?\nAnswer: 257.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 - x**2 - x - 1. Let h(i) = -3*i**3 + 7*i**2 + i - 1. Let f(c) = -2*a(c) - h(c). What is f(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*q**2 + 223 - 34*q**2 + 15*q**2 - 697 to p*q + f*q**2 + m and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2864.8 + 2865. Which is the third smallest value?  (a) -44  (b) w  (c) 0  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 4. Suppose d - 2*o = 2*o + 47, a = 3*d + 2*o - 113. Let h = d + -18. What is the greatest common factor of h and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 * -5525212.\nAnswer: -49726908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l**(-8)*l))\/l)**38)**(-2\/11) assuming l is positive.\nAnswer: l**(-532\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-51)\/34*(28\/6)\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, k: 2, q: 1, v: 9}. Give prob of sequence fkq.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1108 - -38776\/35. Let c = v - -2\/5. What is the fourth smallest value in -7\/3, 3, 2\/5, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 132*s + 4387 + 2*s**2 - 138*s + 3172.\nAnswer: 2*s**2 - 6*s + 7559","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 627 divide 11495804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23416*x**2 + 65996*x**2 - 34859*x**2)*(1 - 2*x - 1).\nAnswer: -15442*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5097752\/15 + 340145. Let t = 295 - i. Put -4, -0.1, t in ascending order.\nAnswer: -4, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j + 7 + 22 = 2*i, 9*i + 15*j - 2*j + 48 = 10*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/17)*b)\/b)\/(b**0\/b)*b*(b**(6\/5)\/b)\/b*b*b*b**(3\/10)*b**5\/(b\/(b**(1\/2)\/b))*b**1\/b*(b\/((b*b**(-1\/5))\/b))\/b assuming b is positive.\nAnswer: b**(617\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -817 + 817 + 829*j**2 - 5*j**2 + j**2 + 5*j**2 + (4*j - 2*j - 4*j)*(j - 7*j + 4*j).\nAnswer: 834*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 277.\nAnswer: -8\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -10\/23  (b) 198263  (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 164 and 2921660?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -244837 or -244832?\nAnswer: -244832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-15)\/10)\/((-5)\/2) - -1. Find w, given that 0*w + 4\/5*w**2 + w**4 + 0 - 1\/5*w**5 - s*w**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*n + 4*n + 4*n + (-3 + 1 - 1)*(3 - 2 - 5)*(8*n + 0*n + 3*n) as g*n + s and give g.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/8 and 23\/1286460.\nAnswer: 2572920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 11*m**3 + 89*m**2 + 9*m + 14. Let t be o(-8). Which is smaller: 398 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/20*-2 - 27\/5. Let w be o\/(-4) - (-66)\/12. Suppose -d + 5*q = 16, 15 = 2*q + w. Is 4 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1035670 is divided by 1465.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - 104\/(-20) - (-1)\/(-5). Suppose 18 = -t*r + 54. Solve 3*d = 5*d + 4*f + r, d + 5 = -3*f for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r**3 + 5*r**2 - 5*r + 6. Let g be k(4). Suppose d + 125 = -g. Let j = d - -820. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q be (1\/15)\/(10\/(-30)). Let v = -1 - -0.6. Let y = v - -0.1. Which is the smallest value?  (a) y  (b) -3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 108 + -108.02. Let p = -130 - -128. Which is bigger: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -4*z. Let r be w(-1). Suppose -3*h = -5*m - 0*h + 75, 3*m - h - 45 = 0. Suppose -r*i + 29 = -m. Solve 5*c - i = 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 78071\/18 + -4331. Calculate the common denominator of 29\/4452 and a.\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4824 + 4801. Which is bigger: x or -26?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d. Let r = -13 - -23. Let h(u) = -2*u**3 - 5*u**2 + 5*u. Let a(b) = r*p(b) - 2*h(b). What is the third derivative of a(y) wrt y?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0402124843 to five decimal places.\nAnswer: -0.04021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 4*l**2 - 17*l + 12. Let t be z(4). Suppose 36 = 22*a - t. Solve -10 = a*c - 2*u, -2*c = -2*u + 6*u - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 7) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/6 in -1, 5, 1\/2, -11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44*l**3 + 297 + 5*l**2 - 4*l**2 + l**2 - 298 - 239*l**3 + 2*l to the form d + a*l + x*l**3 + o*l**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(49)*2*-3)\/((sqrt(84)\/sqrt(3))\/sqrt(4)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yoooyoooooy. Give prob of picking 1 o and 3 y.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-15)\/12)\/(1\/(-4)). Let j be ((-21)\/12)\/((-2)\/8). Suppose j*d = 4*d + 9. Solve d*f = t*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/o**(1\/2)*o**(1\/7))**(-7) assuming o is positive.\nAnswer: o**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - 5*w**2 + 7*w + 14. Let y be u(-6). What is the greatest common factor of y and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 34176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -542428 (base 10) to base 3\nAnswer: -1000120001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 106 - 16 = 0. Let o be ((-9)\/(-6))\/(l\/40). Suppose s + 5*p - 65 = 0, -5*s - o*p = -152 - 89. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 + 18*z**2 + 9*z - 27. Give t(-17).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 641156 = -2*t. Let d = t - 1419422. Round d to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3973, 16759, 38069, 67903, 106261?\n\"Answer: 4262*d**2 - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 7*l**3 - 12*l**2 - 60*l - 6. Let r(a) = 5*a**3 - 10*a**2 - 61*a - 5. Calculate 5*d(q) - 6*r(q).\nAnswer: 5*q**3 + 66*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2286403, 4572794, 6859175, 9145540, 11431883, 13718198, 16004479, 18290720?\nAnswer: 20576915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, -3, 0, -1\/3, 4233 in descending order.\nAnswer: 4233, 2, 0, -1\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/45)\/(((-48)\/9)\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.0797189 + 0.8\nAnswer: 0.8797189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -3 - (-26 + 27) - (-13 + 10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the second derivative of 1\/6*r**4 - 5\/6*r**3 + 3*r + 0 - 2*r**2. Let g = 2052 - 2041. Let y(n) = -5*n**2 + 14*n + 11. Give g*x(a) + 4*y(a).\nAnswer: 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188410 is divided by 152.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -38 - -41. Suppose -2*i - 4*k = -p*k - 375, -i = k - 188. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -174 divided by -11.\nAnswer: 174\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2540023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -310 + 315. What is the fourth biggest value in -8, -9, m, 2\/13?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b = -2*b - 970. Let j be (97\/b)\/((-26)\/(-8)). Determine s, given that 8\/13*s**2 - j*s**4 - 4\/13*s**3 - 6\/13 + 4\/13*s = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54477*u - 181116*u + 804917*u + 2080894*u.\nAnswer: 2759172*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2852b - -3?\nAnswer: 2852e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 33041423 (base 5) in base 15?\nAnswer: 59228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 4*m - 1260 = 0, -3*q - 5*m = -2*m - 1281. Let t(l) = -l**3 - l**2 - 2. Let d be t(-2). Suppose 6*p - d*p = q. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111 - 100000010010110001?\nAnswer: -100000010011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 649741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + -4. Let l(o) = 3*o**3 + 5*o**2 + 5*o + 1. Let k(c) = -5*c**2 + 4*c**2 + c + c**3 + 2*c**2. Determine b*l(a) - 5*k(a).\nAnswer: -2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 - 22*a**2 - 58*a + 11. Let g be k(-19). What is the highest common divisor of g and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 9.7 + -9. Let w = -1.2 + p. Are -2 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 5*f - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**2\/8 + 303*t\/4 - 21855\/8.\nAnswer: -3*(t - 155)*(t - 47)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gobo when four letters picked without replacement from bbobgxgogb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1407 and -12.58.\nAnswer: 1394.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 453*l**3 + 280*l**3 + 48*l**3.\nAnswer: 781*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = 5*k - 129, -108 = -2*j - 20*k + 8*k + 16*k for j.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:38 PM and 7:57 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 5*i = -4*i - 5, -5*u = 5*i - 20. Suppose 24 = -b - 5*b. Let n(p) = 6*p**2 + 20*p - 2. Let m be n(b). Solve m = -3*k - u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 4*b**2 - 6*b + 62. Let c be p(11). Suppose 8*u + 64 - c = 0. What is the lowest common multiple of u and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -5*s + 3*j + 324, -5*s = -4*j - 536. Let p be -1*336\/4*-1. Suppose -2*m + 3*m + p = u, -5*m - s = -u. What are the prime factors of u?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 + -9. Suppose 2*l - 45 = -5*n, 10 = l - n - u. Calculate the lowest common multiple of l and (-18)\/4*(-16)\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 145, 158, 171, 184, 197?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 592848614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2217cd (base 14) in base 4?\nAnswer: -10122122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26344 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -494 - (48\/4 - 5). Let u = r + 2503\/5. What is the third biggest value in -1, u, 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 877 - 23680\/27. Let v(p) = -2*p**2 + 2*p - 1. Let h be v(1). Let f = 1 + h. Are t and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -2*p + 15, 24*x = -p + 25*x + 6. Solve -16 = -5*u + p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2139*s**4 - 458*s**2 + 18297370*s?\nAnswer: 25668*s**2 - 916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 6*v - 3*v. Let u(a) = 4*a. Let z(l) = -16*l + 1. Let h(f) = -9*u(f) - 2*z(f). Calculate h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 576 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 174913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 86 - 59. Let p = 54 - -22. Let l = p - a. What is l rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 14 and -1.5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 5  (b) -1\/4  (c) 0.067  (d) -35  (e) 3  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of p**5\/2 - 231*p**4\/4 + 363*p**3\/2 - 203*p**2 + 90*p + 314. Solve t(n) = 0 for n.\nAnswer: 2\/5, 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.082  (b) -75  (c) 0.05  (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2363203659?\nAnswer: 3, 787734553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxicxxcbbxybc. What is prob of sequence ix?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1672\/5 - 334. What is the closest to v in -3\/7, -3, 8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(((j\/(j\/j**2)*j)\/j)\/j))**(1\/60)*(j\/(((j\/j**1)\/j)\/j*j))**(2\/51))**(-29) assuming j is positive.\nAnswer: j**(-116\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 374 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) 272  (c) -5\/2  (d) 4\/5  (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**2 - 190890*n + 1821949605.\nAnswer: 5*(n - 19089)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 3*x + x - 12 = 0, 90 = 3*m + 12*x. What is v in 0 + m*v + 2\/3*v**5 + 8*v**2 - 8\/3*v**4 - 4\/3*v**3 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t**10*t**(-1\/3)*t\/t**(1\/7)*t**(-6) assuming t is positive.\nAnswer: t**(116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/5)\/((-67 - -51) + (6 - 5996\/(-600)))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -123*c**2*d**2 + c**2*d*t + 14*c*d**2*t**3 - c*d**2*t - c*t**3 + 24*d*t**3 - 920*d*t**2 wrt d?\nAnswer: -246*c**2 + 28*c*t**3 - 2*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of -1\/12*u**4 - u + 52*u**2 + 0 + 0*u**3. Let a(j) = 3*j**2 - j**2 - j**2. Determine n(a(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away 3646?\nAnswer: -3646.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 174 = 4*d - 2*u, 3*d - 2*u - 148 = -16. Suppose -4*l = -2*c - 2, -5*c + 4*c + 3*l = 6. What is the remainder when (72\/d)\/(2\/28) is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 AM and 12:16 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -943433, -1886841, -2830249, -3773657, -4717065, -5660473?\nAnswer: -6603881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 235*h - 21048 - 1698 + 6061 for h.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 0 + 55 + -26 + 38 + -22.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*(-45)\/54)\/((-2)\/(-4))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 i when three letters picked without replacement from uuuuiuuuiiuu.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 246 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3763 - 3761. Solve b*x + 4*j = 14, 3*x + 4*j = 7*x + 32 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3218157 is divided by 817?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -70964\/15 - -4737. What is the common denominator of -34\/7 and o?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 - 5*o + 4. Let z be u(3). Calculate the common denominator of -127\/12 and (-2)\/z + (-174)\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.09571ml in litres?\nAnswer: 0.01209571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 28013961 and 2166?\nAnswer: 1083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5.29, -2\/7, 5, -2010, 0.1 in increasing order.\nAnswer: -2010, -2\/7, 0.1, 5, 5.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + 10*m - m)*(0 - 1 - 1)*(0 - 5 + 3)*(m + 2*m - 2*m).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + -218356?\nAnswer: -218353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 500 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 - -1001011110?\nAnswer: 1001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -216 + 215. Let f be -2 + 3 + (x - 1)*-1. Solve 4*h + 3*y = 29, -5*h = f*y - 2*y - 28 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1307 + -202?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o + 8. Let n = -10 + 14. Let l be y(n). Suppose -2*i + 2 - l = 0. Is i less than -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1 - -1.1. Suppose 2*l - 2 = c - 7, -2*c = 5*l + 26. Let v be (-7)\/49 - l\/(-70). What is the second smallest value in s, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*l - 79*l - 3 = 0, l = -2*i - 3*i + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 2\/15  (b) -0.27  (c) 2\/5  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -22\/5 in 0.5, 5, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 726 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 + 0 + 0)*-1. What is the tens digit of k\/(0 + 1\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l + l - 3*l - l + 5*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 567 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1233 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-20)*i*i**(-15) assuming i is positive.\nAnswer: i**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (6*(-6*(sqrt(405) + -1))**2 - (sqrt(45)*-3 - 6*(sqrt(5) + 2))**2).\nAnswer: -4248*sqrt(5) + 86430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 2 + (10 - (-5 - -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = -59*h + 2280. What is the highest common factor of h and 408?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -42*b**2 + 9*b + 18764. What is i(-21)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 148*x**3 - 15*x + 2 wrt x?\nAnswer: 888*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001415 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -482*i + 481*i, q + 3*q - 12 = 5*i. Solve 0 = -3*o + 3, -q*w + 7 - 5 = -o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 13 = -0*r - 4*x, -2*x = 3*r - 5. Let j = r - -2. What is the derivative of -w**3 + w**2 - w**2 - j wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 3*g - 4 - 8, 3*g + 12 = -3*o. Sort 0.4, -26, -5, o, -3.\nAnswer: -26, -5, o, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 5*z - 2. Let o = -2 - -1. Let n(s) = s. Let v(f) = o*y(f) + 4*n(f). What is the derivative of v(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -3, -4, -6, 1947, -5 in increasing order.\nAnswer: -6, -5, -4, -3, 18, 1947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-8))\/a**(-9)*((a\/a**(7\/6))\/a*a)\/(a\/((a\/(a\/a**(-1)))\/a))*(a**2\/a*a\/(a*(a\/(a**5*a*a))\/a))\/((a*(a*a**(-1))\/a*a)\/a)**(-44) assuming a is positive.\nAnswer: a**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1246+-0.4\nAnswer: 1245.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1225 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55 + (-7 - -64) + (3 - 2 - -2 - -46).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11055*g - 44218*g + 11040*g + 11061*g + 11058*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -1356*v - 5417. Let l be o(-4). Sort -1, -45, l in descending order.\nAnswer: l, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4023 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 4*k**2 + 14906960*k - 193791156 = 0.\nAnswer: -3726753, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 5*t - 2*s, -4*s = -5*t + 19 + 30. Suppose 0*q + 17 = m + 5*q, 3*q = -2*m + t. Suppose -2 = -m*i + 4. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8807861714.290001153 + -8807861704. Let w = l + -10.29. What is w rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50*f = 56*f - 424. Let j(y) = -y**3 + 3*y**2 + 4*y + 2. Calculate j(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 78\/(-9)*(7 + 9881\/(-533))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3\/4 + 8703*p**2\/4 - 8415801*p\/4 + 2712693189\/4.\nAnswer: -3*(p - 967)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1839034 (base 12) to base 2.\nAnswer: 10011010001111111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -6\/19*c**3 + 14\/19*c**2 - 16\/19*c**4 + 8\/19*c**5 - 4\/19*c + 0 = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38535664 to the nearest integer?\nAnswer: 6208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r - 12. Let h be s(-8). Let u = 57 + h. Suppose 0 = -4*x + 5*o + 58, 5*o - u - 17 = -4*x. Calculate the lowest common multiple of x and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -4 + -1*(6*(-2 + sqrt(76) + sqrt(76)) - sqrt(76) - (sqrt(76) - (-1*sqrt(76)*1 + sqrt(76))))**2 + -4.\nAnswer: -7752 + 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 3*i + 45 = 0, 4*i + 70 = -2057*s + 2052*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, r: 1, n: 1, o: 1, v: 2}. What is prob of sequence vxno?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = -4 + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 715 in 5, -5, -1341, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**0)**(1\/42)\/(v\/((v*v\/((v*v**1)\/v*v)*v)\/v*v)*(v*v**(-7))\/v)*(v\/v**(-1))**5\/((v**(1\/3)*v)\/((v*v*v\/v**(-3)*v)\/v)) assuming v is positive.\nAnswer: v**(911\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -3219, -3364, -3509, -3654, -3799, -3944?\n\"Answer: -145*w - 3074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94 + -84. Suppose 19*w = 29 - q. Is w at least 8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 0 + 0)*(73*g**3 - 144*g**3 + 31 + 69*g**3).\nAnswer: 4*g**4 - 62*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 115 + -64. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10995.\nAnswer: 3, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/(-9)*(-540)\/450*27\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*m**2 - 20*m**2 + 9*m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -77*o**2. Let u(a) = -2*a. What is u(z(c))?\nAnswer: 154*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 99\/2 - 49. Factor l + m + 1\/2*m**2.\nAnswer: (m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 248 = -o - 4*o, -99 = 2*o - t. Let v = o + 79. List the prime factors of v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-2\/25)\/z*z**(-1\/18) assuming z is positive.\nAnswer: z**(-511\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65627 = 52*y - 226977. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvvo when four letters picked without replacement from {i: 6, v: 3, x: 6, o: 4}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 0, -w - 4*w = -p - 595. Calculate the highest common factor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-180)\/27)\/(800\/12000)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -317.59 - -314.59. Which is the nearest to 0.5?  (a) -5  (b) 1\/4  (c) -1  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45 + -23. Suppose 261 = -4*t + n, -255 = 3*t + t - 3*n. Calculate the remainder when 38 is divided by (-516)\/t + 4\/v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gvzk when four letters picked without replacement from {g: 2, v: 4, b: 3, d: 2, k: 1, z: 3}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/460 and -137\/30.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 5*z + 3 = 5*d, 4*d - 14 = 2*z. Suppose -4*c + 779 = -o, d*o + 229 + 352 = 3*c. Suppose 0 = -7*i + c + 330. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 - 9*u - 2. Let w be g(-8). Solve 0 = 2*h - 4*i - 20, 3*h - w = -i - i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -138 + -60. Let l = q + 195. Which is the closest to -2?  (a) -6\/5  (b) -0.3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/3, -65, 2, -2\/323?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**2 - 4*h - 7. Calculate d(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 - 23 + 3 - 27*q**2 - 23*q**2 - 395*q + 396*q + 51*q**2. Calculate o(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f - 8. Let c be m(-7). What is the remainder when 20 is divided by c\/(((-4)\/11)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1074aa (base 11) to base 4\nAnswer: 221233130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26954 = -661*z + 66908 for z.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 385398 is divided by 4481.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 7 = -2*d - 0*d, -3*p = d + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 - 5*w - 4. Let s be k(-4). Suppose -x + 11 = d - 4*x, -4*d + 5*x + 23 = s. Suppose 0 = 2*l + d*l - 132. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -1490.552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 24*x. Let y(b) = 5*b. Let s(j) = -6*l(j) + 28*y(j). Let u(t) be the third derivative of t**5\/30 + 2*t**2. Calculate u(s(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 6*h**2 + 2*h + 19 + 17*h**2 + h**2. Is u(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of z**5\/30 - 5*z**4\/18 - 25*z**3\/9 + 125*z**2\/3 - 247*z - 73. Let d(k) be the first derivative of f(k). Factor d(x).\nAnswer: 2*(x - 5)**2*(x + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 2, -0.7, 0.3, -2818, -1.2.\nAnswer: -2818, -1.2, -0.7, 0.3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12.73 - -12.43. What is the third biggest value in 3\/5, -22, v?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 - ((-4)\/(-1) + -10). Let h(g) = -x*g**2 + 13*g**3 - 14*g**3 - 11 - 9*g + 0*g. Let z be h(-7). Solve 11 = -z*l - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 5\/13, 23\/5, 0.01, -7\/3, 12?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*q - 7*q - 4*o - 15931, q - 3179 = -o. List the prime factors of q.\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 8*u**2 - 37*u + 52. Let c(z) = 3*z**2 - 13*z + 17. Let d(s) = 11*c(s) - 4*o(s). Let f be d(3). Solve -4*t = 5*a + 20, 6*t - 2*a = f*t + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-230)\/23 - (180\/225 - -2*(-1226)\/240)\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**17\/s*s**(-48) assuming s is positive.\nAnswer: s**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 85 - -5?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 12200220?\nAnswer: -12200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 3, 5, 2, 3\/8, -11967, -1 in increasing order.\nAnswer: -11967, -1, -0.1, 3\/8, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.1  (b) -3\/8  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 20742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 3\/8, -71, -0.1, 0.33?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7*3\/(-147))\/(1\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 736\/5*a - 734\/5 - 2\/5*a**2 = 0.\nAnswer: 1, 367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*-5 + -13 + 35970 + 11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -971.393933 rounded to one decimal place?\nAnswer: -971.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 112*105.473\nAnswer: 11812.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 137\/(4384\/(-1152)) + 70\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 10*k - 5. Let x(o) be the first derivative of -9*o**2\/2 + 4*o + 69. Determine 3*a(s) + 4*x(s).\nAnswer: -6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76 + 87 + 100 = 263*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/585)\/((-3)\/((-45)\/(-6))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1036 - -1350. List the prime factors of s.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -24268 - -25204. Calculate the highest common divisor of v and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 5  (b) -1  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are 4338772 and 4338752 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 28 + -23 + (-3 - (6 + -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0598 - 0.2598. Which is the closest to -0.1?  (a) 4  (b) k  (c) -97  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 6 + 9. Put 1\/5, l, 0 in decreasing order.\nAnswer: 1\/5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -3*d**2 + 2*d + 1. Let z(m) = -7*m**2 - 29*m + 2. Let h(c) = -2*r(c) + z(c). Let p(s) = -s**2. Give h(p(f)).\nAnswer: -f**4 + 33*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 - 0.08. Let p = r - -0.28. What is the third smallest value in p, 0, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 2)*(-1521*o**2 + 3 + 763*o**2 + 754*o**2 + o).\nAnswer: 4*o**2 - o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**3 + 51*x**2 + 17*x - 76. Does 8 divide i(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10170808 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 164 and 302416.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21409261.\nAnswer: 2251, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -815882, -815877, -815870, -815861?\n\"Answer: h**2 + 2*h - 815885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1357017*j - 4*j**3 - 1357017*j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2828 - 1415 - 1413 - 734*q**2)*(3*q**3 - 6*q**3 + 2*q**3).\nAnswer: 734*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are 123 and 113 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -21*y + 27. Let t be z(-6). Let k = t + -161. Calculate the lowest common multiple of (-9)\/12 + (-134)\/k and 52.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 3*v = -9544800, 5*q + 5*v = 6083821 + 9824179. What is q rounded to the nearest 10000?\nAnswer: 3180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -431034100 (base 5) to base 15.\nAnswer: -25cb35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 48931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 318947, 637895, 956847, 1275803?\n\"Answer: 2*g**2 + 318942*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 63955 by 5.\nAnswer: 12791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6783?  (a) -6  (b) 3\/4  (c) -2\/13  (d) 2  (e) -136\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbvjbbbbjjpbbbj. What is prob of picking 1 p and 1 b?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -29077, -116354, -261867, -465658, -727769, -1048242, -1427119, -1864442?\n\"Answer: -7*v**3 - 29076*v**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x**2 + 5*x - 3. What is the remainder when 71 is divided by l(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*v - 15*v + 596 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**5 + 947419*a**4 + 224402111515*a**3 + 673200650041*a**2 + 673198755208*a + 224399269264.\nAnswer: (a + 1)**3*(a + 473708)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -93, -202, -321, -450, -589, -738, -897?\n\"Answer: -5*i**2 - 94*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - w - 171 = -2*w, -5*w + 50 = 2*q. Suppose -v + 9 = 3*d, 3*v + 18*d - 16*d - 90 = 0. Does v = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbabbaaaagb. What is prob of sequence gbb?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -637 + 636 - (35 + (3 + 2 - 2)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.199 and 238 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 divided by -72?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -26075897\/7 or -3725128?\nAnswer: -3725128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5*j + 4 = 3*w, 0 = -4*j + w - 12. Let p be (-1)\/j + 741\/76. Calculate the highest common divisor of 90 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 + 11*i + 2. Let o be c(11). Suppose u = o*u. Let l = -435 - -455. Solve f - 5*f - l = u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 564864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 14 + 13\/((-117)\/108). Let i(h) = 4*h**2 + 2*h - 10. Determine i(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 113*n**3 - 134*n**3 + 1 - 114*n**3 - 141*n**3 - 52*n**3.\nAnswer: -328*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t**5 - 780*t**4 - 156855*t**3 + 800230*t**2 - 642600*t = 0. Calculate t.\nAnswer: -119, 0, 1, 4, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 197503 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (((-20)\/1)\/2)\/(-2). Solve j + 16 = h*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240 = 261*y - 341*y. Sort -10, 0.4, y, 161, -5.\nAnswer: -10, -5, y, 0.4, 161","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -119056, -238110, -357164, -476218, -595272, -714326?\nAnswer: -833380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0\/((-2 + 3)*-2). Let w(q) = 3*q + 10. Let h(t) = 4*t + 15. Let i(y) = -5*h(y) + 7*w(y). Let u be i(11). Solve 0 = 2*c - k*c - u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the first derivative of -y - 44. Let b = 1 - -1. Let t be (b\/2)\/((-9)\/(-9)). Let d(m) = 3*m**2 + 4. Give t*d(g) + 4*i(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 50?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*((-2)\/(-12))\/(20\/((-42780)\/(-23)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-3)\/(-12))\/(86\/2706248)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (16890\/(-12) - (-6)\/(-4))*-1. Let y = -771 + u. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f - 4*f + 5*f - f + 5 - 5 + (-1 + 2 + 1)*(4*f - 4*f - f))*(3*f**4 + 1 - 1)*(-1 + 0 + 0).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -41*y**3 - 4*y**2 + 5*y - 2. Let r be w(2). Let a be (11\/2)\/((-14)\/r). Suppose 4*h - h = 72. Calculate the highest common divisor of a and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/13 at most as big as 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14281\/638 + -690\/29. Calculate the common denominator of 5\/2684 and r.\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 5*t**2 + 2*t + 4. Let i be k(-4). Solve -i = 2*a + 4*j, 6*j + 7 = -2*a + 3*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p. Suppose 0 = -4*z + 4*o + 1160, 3*z - 1327 + 462 = 2*o. Let k(w) = -w**2 + 0 + 3*w**2 - z*w + 4 + 285*w. Calculate v(k(t)).\nAnswer: -2*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n**2 - 1. Let h be w(-2). Let y(z) = -3*z**2 + 3*z - 5*z**2 - 9*z**3 + h*z**2. What are the prime factors of y(-2)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 6*n**2 - 199*n - 481. Determine r(43).\nAnswer: 2056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -800656032 and -68145?\nAnswer: 800587887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n**2 - 847*n + 77422. What is q(290)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rkukmrkumuulrkrr. What is prob of picking 2 m, 1 u, and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38 - 118*i - 38 - 60*i + 28*i.\nAnswer: -150*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3500) - (-4*sqrt(3500)*3 + sqrt(3500)))\/(sqrt(50)\/(sqrt(10) - (sqrt(10) + (5*sqrt(90) - sqrt(10)) - sqrt(10)))).\nAnswer: -1560*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*t - 825 = -37*t. Suppose 0 = 5*o - 2*o + 5*z - t, -5*o = -z - 125. What is the highest common factor of 50 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 1 = -2*c. List the prime factors of c*-15*1\/1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10311.11 weeks to days.\nAnswer: 72177.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -34 - -78. Calculate the remainder when c is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 + i - 11. Determine v(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 2366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 8:15 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z**2 + z**4 - 23 - 18*z**3 - 2*z + 24*z**3 - 9*z**3 + 0*z**2 as o*z**2 + d*z + x + s*z**4 + i*z**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -0.3  (b) -4  (c) -2\/15  (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9147*k - 10*k**2 + 4656*k + 4612*k.\nAnswer: -10*k**2 + 121*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 64 + 19 = 5*y, -5*b = 5*y - 45. What is the least common multiple of b and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24.80051 to 2 dps.\nAnswer: 24.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -11*q - 193. Let y be (-6)\/13 - 840\/39. Calculate the remainder when w(y) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t*t**(-1\/2)*t)\/t)**31 assuming t is positive.\nAnswer: t**(93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23275, -28, -3, -4 in descending order.\nAnswer: -3, -4, -28, -23275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kekkeke. Give prob of sequence eee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w + 18*w**2 + w - 43*w**2 + 21*w**2 + 19*w**2 + (-3*w + 2*w + 2*w)*(-2*w + 0*w + w).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*n - 167 - 1 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1*6 + (-1092)\/(-143) + 40\/110. Solve -5*i + 4 = j*k - 4*i, 4*i + 28 = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 (base 13) in base 14?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 168073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 - 4*t**2 + 4*t + 1. Calculate g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -9*a - 18*a + 156 + 60 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**3 - 16*v**2 + 4. Let b be z(16). Suppose 14712 = b*h - 1060. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219316 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from smkssmksms?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -19 + 18.9. What is the closest to m in -16, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 126032457\/7 or 18004636?\nAnswer: 126032457\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 5  (b) -1\/8  (c) -210\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 660 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -41.5006, 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 4. Let u be c\/3 + 2\/6. Suppose u = -0*l + 2*l. Solve n = -l*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) 1650321  (c) -0.026  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 330 is divided by 158?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8563965, -8563964, -8563963, -8563962?\nAnswer: -8563961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64616 is divided by 9216?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {e: 1, a: 3, h: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 47 + -42. Suppose 0 = -5*t - z*i + 8*i + 10, -3*i + 10 = 5*t. Solve 4*k - t*r - 12 = 0, 5*r = 22 - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3544 + 3561. Let k be (-6)\/21 + 1083\/(-7). Let u be 2*3\/(-3) - k. Calculate the greatest common factor of a and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9169356 centuries in decades?\nAnswer: 9.169356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/5)\/l)**(-27))**(-29) assuming l is positive.\nAnswer: l**(-2349\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -148 - -1334\/9. Is d at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -420, -840, -1260, -1680, -2100?\nAnswer: -2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + 14. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of a**7\/5040 + a**6\/480 + a**5\/120 + 2*a**4\/3 - 6*a. Let n(k) be the third derivative of m(k). What is z in n(z) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0112495 rounded to 4 dps?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 392*r**2 - 3555*r - 8334. Calculate l(11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/7, 0.3, -1\/10, -1\/4, 12?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -89, -1, 5.\nAnswer: -89, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 7740 (base 10) to base 13\nAnswer: 36a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**2 - 29*v - 318. What is n(-20)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7170 by -2390.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((108\/(-450))\/(-6))\/((-24)\/80)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 873, -5, 3.21, 0.2?\nAnswer: 3.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 533700046.\nAnswer: 2, 11, 24259093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 29*v**3 - 2*v + 1. Let f(s) = s**2 + 2*s + 1. Let n be f(-2). Is q(n) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.9 in -4, 5, 0.2, -5, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*g**2 + g**2 - 174*g**3 + 5*g**2.\nAnswer: -174*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 726008.\nAnswer: 2, 151, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**2 - 17 + 44*g + 19 + g**2. Let p be f(-22). Solve 3*q - p = -5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -3*z**3 + 8*z**2 + 3*z + 2. Let u be s(3). Solve -u - 1 = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14755?\nAnswer: 5, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 8*z**3 - z**2 - 7*z. Let u(v) = v + 1. Let f be u(3). Suppose -42 = 2*n + n + t, f*t + 56 = -4*n. Let m(j) = -j**3 + j. What is n*m(i) - 2*d(i)?\nAnswer: -2*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 17033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -43*t**2 + 6*t + 6. Let s(h) = -50*h**2 + 7*h + 7. Let y(n) = -6*s(n) + 7*x(n). Let c(j) = 29*j**2 + 1. Determine c(y(o)).\nAnswer: 29*o**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*q + 37*q - 2 + 14*q.\nAnswer: 55*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -60*i. Let d(u) = -79269264 + 34*u + 79269264. Calculate t(d(a)).\nAnswer: -2040*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 2\/9, 1, -4 in ascending order.\nAnswer: -8, -4, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7.1 + -2.1. What is the fourth biggest value in d, -7, -5, 1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -h - 4793 + h + 644*h**2 + 4793 + 413*h**2.\nAnswer: 1057*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23721 or -23723?\nAnswer: -23723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -147 - -1006\/7. What is the common denominator of t and -41\/255?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17558?\nAnswer: 2, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -339*o - 4356 = 242*o - 55*o + 25626 for o.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 - 12*n - 23)*(4 - 1 - 4) + 0*n + n + 0 - 1.\nAnswer: 13*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 75 - -2 - (-3088 + 3090)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1074*l + 1077*l + 32 - 2161*l)*(-3 + 5 + 0).\nAnswer: -20*l + 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**3\/o*o*o*o*((o**(-1)\/o)\/o)\/o*(o**1)**(1\/53)*o**(-1)\/(o\/(o**5*o*o))*(o*o**(-1\/3)\/o*o)**(-41) assuming o is positive.\nAnswer: o**(-3389\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 - 3*l**2 + 13*l + 29. What is g(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gw when two letters picked without replacement from gggggwgggggggggggggw?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 789437+24701\nAnswer: 814138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 7:00 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -7*y**2 + 63*y + 191. Give x(12).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 36 = 10*p. Let s = p - -12. Suppose s*w - 35 = -8. Calculate the remainder when 34 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + m = t - 1939, 4*m = -2*t + 1964. Let y be t\/9 - (-2 - 0). Let h = y - 63. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 50 - (82 - (-4 + 73))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 205*y - 8. Determine m(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32\/88 - 240\/55.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64885.08 months in years?\nAnswer: 5407.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 216*x - 20*x**4 - 43*x**2 + 219*x - 436*x + (2*x**3 + 2 - 2)*(5 - 3*x - 5) to r*x**4 + q*x + k*x**2 + z*x**3 + y and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1531 - 0.54.\nAnswer: -1531.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -268, -270, -272?\n\"Answer: -2*l - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 168314 is divided by 249.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131290?\nAnswer: 2, 5, 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 338 and 7827742.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 305346 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5088710 is divided by 487?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 + 132*y**2 + 411*y - 28289. Calculate m(-127).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k**4\/7 + 77516*k**3\/7 + 53643840*k**2 - 375584400*k\/7 = 0. What is k?\nAnswer: -9690, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1\/4, 39, 0.07, -1\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*s**3 + 19*s**3 - 8*s**3 + 0*s**3 + s**3 - 3*s**3 + (0*s - 2*s + 3*s)*(-1 + s**2 + 1) - 4*s + 4*s - 2*s**3 as j*s + c*s**2 + z + i*s**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88 divided by 467.\nAnswer: 88\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, 5, -0.4, -0.123089?\nAnswer: -0.123089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 1:17 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 8 = -4*h, 3*h - 2 = 2*w - 4. Let y be (h\/4)\/(2\/8). Solve -11 = k + y*u, -2*u + 4*u - 7 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -60*y - 59*y + 118*y. Let f(o) = -2*o + 4. Give f(w(x)).\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 381119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -829, -1704, -2507, -3202, -3753, -4124, -4279?\nAnswer: -4182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -9*l**2. Let w(z) be the second derivative of 2*z**4\/3 - z**2\/2 + 1107*z - 1. Determine f(w(b)).\nAnswer: -576*b**4 + 144*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*w, -h = -w - 4*w - 10. Put -5, h, -11 in increasing order.\nAnswer: -11, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2652 - 275?\nAnswer: 2377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z + 13. Let d be u(22). Let n be 10\/(-15) - 4\/(-6). Sort d, -4, n.\nAnswer: -4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 1:48 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8053765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2218 * -13\nAnswer: -28834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -34\/62025 and -3\/58840.\nAnswer: 729910200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 735066897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -236 + 237. Let c be -1 + 0 - 1*-1. What is the least common multiple of 2 and (s + c)\/(3\/30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**3 + 0 + 0 + (3*k**2 - 3*k**2 + 2*k**2)*(3*k - 2*k - 2*k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 146 + 0*o + 4*o - 143 + o**2. Let g be i(-2). Let j be (-4)\/(20\/125)*1\/g. Solve -4*w = w + j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 + 3. Let m be t(0). Let x(u) = 86*u**2 - 9*u + 2. Is x(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrqroqrrroqrrqrr. What is prob of sequence oqr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 46044, 184259, 414630, 737157, 1151840?\nAnswer: 1658679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 4*w - 6. Calculate p(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -2*a**3 - 6*a**2 + 7*a. Let h(u) = -3*u**3 - u**2 - u - 1. Let v be h(-1). Let w(z) = 0*z - 3*z - z**v + z + 3*z. Determine -l(j) + 5*w(j).\nAnswer: 2*j**3 + j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4013*a - 76*a**3 - 4013*a)*(7 - 2 - 3)*(18 - 19 + 97).\nAnswer: -14592*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 + 21. What is the remainder when 11 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 140 - 13173?\nAnswer: -13033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 - 2*q - 96. Let v be g(0). Let z = -88 - v. Solve -z*a = -4*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003546763 rounded to six decimal places?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/2  (b) 2.62  (c) -2  (d) 24  (e) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.284 - -0.14. Let n = -0.14400138 - x. What is n rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (1134\/12)\/21*-2 + 51908 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 615706087 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4026, -3960, -3894, -3828, -3762, -3696?\nAnswer: -3630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hgjjojomorjjgorjh. What is prob of sequence mho?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 191 + 281. Let h(y) = 1 + 260*y + i*y + 1. Let x be h(-1). What is x rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(-18) - 1\/(-3). Let p(w) = -2*w**3 + 0 + a*w**2 + 3*w**3 + 1 + w**2. Let z(y) = 2*y**3 + 6*y**2 + 4. Calculate 4*p(c) - z(c).\nAnswer: 2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 252282559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q - 6. Give u(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-6)*p)\/p)**(-34)\/(p**(2\/31)\/p**(-10)))**(1\/37) assuming p is positive.\nAnswer: p**(6012\/1147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 301 = -38*j + 4481. Let n(o) = -594*o. Let y(v) = -22*v. Determine j*y(x) - 4*n(x).\nAnswer: -44*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of -2*u**4 - 50*u**3\/3 - 52*u**2 - 1164*u. Factor b(n).\nAnswer: -4*(n + 2)*(6*n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 7) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -4*a**2 + 4*a. Let v(b) = 2*b. What is v(u(s))?\nAnswer: -8*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.07 and 0.64533.\nAnswer: 0.71533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide (-4)\/(12\/(-69)) - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 213\/(-142)*(-3)\/((-198)\/(-20))?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 189.18 - 189.06. Which is the second smallest value?  (a) 16  (b) o  (c) 2  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1435838089?\nAnswer: 7, 23, 379, 23531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 74\/5 of a decade?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -2*m. Suppose 0 = -2*o - 4, x + 4*x - 1 = -2*o. Let w(r) be the first derivative of 3\/2*r**2 + x + 0*r. Give w(c(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/172, 376, -1\/3 in descending order.\nAnswer: 376, -1\/172, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 11) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**2 + 4*y - 119 - 4*y - 9 to the form j*y + u + z*y**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4\/17, 29580 in descending order.\nAnswer: 29580, 4\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 3*k + k)*(-1 + 1 - 10*k).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3*4\/(-6)*4. Let b be 4\/z + 3\/(-2). Let p(o) = -o**3 - o**2 + 1. Let c(n) = 5*n**3 + 6*n**2 - 8. Let j(l) = -c(l) - 6*p(l). Determine j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 376*j + 12. Let o(f) = -400*f - 12. Give 10*b(v) + 9*o(v).\nAnswer: 160*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes after 11:51 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 31 in 5, 2, 6, 4\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19312885*c**4 - 2*c**2 + 15*c - 65361.\nAnswer: 463509240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**11\/(s\/(s\/s**(-17))))**(-27))**(-5\/3) assuming s is positive.\nAnswer: s**1260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 176 + -155. Is 52 a factor of (-6)\/h + (-161)\/(-49) - -309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -227*n - 1822. Give h(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 7\/18505881?\nAnswer: 7\/18505881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -52?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + h - h)*(0*h + 2*h**4 + 0*h) - 2*h**5 + 0*h**3 + 0*h**3 + (-3*h + 2*h**3 + 3*h)*(-8*h**2 + 3*h**2 - 2*h**2).\nAnswer: -18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -4. Let y be 370 - -1 - (14 + -5)\/t. What is y rounded to the nearest ten?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.14  (b) 12\/43  (c) 0.2  (d) 4  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14108.2 + -14108. Which is the closest to -0.03?  (a) -4  (b) 1\/4  (c) x  (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1827*z - 22*z**3 - 912*z + 40*z**3 - 915*z - 22*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of r**5\/30 + 31*r**4\/24 + 8*r**3\/3 + 60*r**2. Let p be v(-15). Solve 0 = 2*g + p + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -32\/2607 and -133\/330.\nAnswer: 26070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19963 + -11001. What are the prime factors of s?\nAnswer: 2, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 3*x - z + 9 = 0, -2*x + 17 = 3*z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 3851550 divided by 450\nAnswer: 8559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 4:09 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 0.18, 2, 0.2 in decreasing order.\nAnswer: 6, 2, 0.2, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from bnftbbbbf?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.92 + -0.08. Which is the biggest value?  (a) -1\/4  (b) -2\/7  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 68220, 68220, 68218, 68214?\n\"Answer: -m**2 + 3*m + 68218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (331 - 331 - 119*u)*((-3*u - 2*u + 4*u)*(-6 + 1 + 3) - 3 + u + 3) to v*u + s*u**2 + y and give s.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve y**4\/5 + 208472*y**3\/5 + 625398*y**2\/5 - 1876216*y\/5 + 208469 = 0.\nAnswer: -208469, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 8*z**2 + 11*z - 27. Let v be s(4). Let j = -119 + v. Calculate the greatest common factor of 234 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -3*f**2 + f. Let i(h) = -4*h**2 + 1. Suppose 0 = -5*l + 10*k - 5*k + 20, 2*l = -2*k. Calculate l*i(q) - 3*o(q).\nAnswer: q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -8, 5, -42, 1?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**2 + 11*g + 520. Give f(29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*t + 5*s - 5, 158 - 91 - 63 = 4*t + 4*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*k = 16*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5 + (-2 - -5) + 4. Suppose -x - 7*h = -3*h - 19, -3*h + 14 = x. Which is bigger: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 3*x + 5 = -6, 4*x + 12 = 2*j. Let f = j + 8. List the prime factors of (-6)\/(-1)*2\/f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1 - (-741 - (-100)\/10)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 853298?\nAnswer: 2, 17, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1075 + 58451 = 2608*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -136220 (base 7) in base 15?\nAnswer: -7b55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 6*v**2 - 268*v - 76. Give b(45).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of 0 - 5\/6*m**3 + 12*m + 1\/12*m**4 - 3\/2*m**2. Let k be (9\/(-15))\/((-2)\/20). Determine f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 372*t - 180*t - 195*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12315687 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12160750 and 455?\nAnswer: 158089750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 23701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 17411 + -4?\nAnswer: 17407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -17598, -35814, -54042, -72288, -90558, -108858, -127194?\n\"Answer: -s**3 - 18209*s + 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g - 16. Let u be x(-7). What is the units digit of (u\/(-27))\/(2\/60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9212 is divided by 418.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 470.01 - 467. Let j = p + -0.89. Let y = -1.25 + j. What is y rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of 7\/3*v**3 - 5 + 0*v**2 - 68*v. Differentiate t(f) wrt f.\nAnswer: 14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c*c**(2\/3)*c)**(-19\/3)*(c\/(c*c\/(c\/(c*c\/c**2))*c))\/(c*c**(-4)*c))**44)**(-36) assuming c is positive.\nAnswer: c**35200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 4*w - 6. Let v(k) = -1. Let o(g) = t(g) - 5*v(g). Let b(f) = -f. What is 5*b(q) + o(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 + 5*c - 8. Let s be m(-7). Let i = -7 - -8. Suppose -5 + i = -2*b. Calculate the greatest common factor of s and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 778*n + 51435 - 51435 + 883*n to h*n + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00049745 rounded to six decimal places?\nAnswer: -0.000497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1780, -1790, -1800?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-144))\/((-1)\/2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1176.00002078 + -1176. What is z rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -0.3, -11, 3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11d + 38?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tkka when four letters picked without replacement from kttkktkktkaaa.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2634.245 - 2616. Let o = 0.345 - y. Round o to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -348 or -351?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*i + 5*x, 4*i - x - 25 = -i. Suppose -3*u + i = 2*u. What is the tens digit of 2\/(-7) + (-4315)\/(-35)*u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 67*i - 446. Calculate the remainder when s(20) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 - (-12 + 1 - ((-21 - -12) + 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of k**6\/45 - k**5\/5 + 32*k**3\/9 + 4*k + 99. What is f in d(f) = 0?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 - 2)\/((-4)\/(-10)). Suppose -4*b + 9*b - 5 = x*k, -5*b = -4*k - 8. Suppose -b - 26 = -5*j. Solve 0 = -4*u + j*u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 12, s: 1, f: 6}. Give prob of sequence fff.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 201.2396, -23, -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/64 of a millimeter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -271 - 73 = -2*u. Suppose -i = -5*i + u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - 8*z + 41. Let m = 151 + -103. What is the remainder when m is divided by g(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 62752 and 0.5.\nAnswer: 62752.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 87774\/13 + -6752. What is the third smallest value in 21, -1\/7, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3216.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6878214 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1304608 is divided by 2604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from llahallaqlhhq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add -132040 and 0.19.\nAnswer: -132039.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of 0*b**4 + 0*b + 4*b**2 + 0 + 1\/30*b**5 + 0*b**3. Let o(d) = -3*d + 7*d + 2*d. What is o(m(v))?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*i**2 + 387 + 2*i**3 - 198 - 191 to the form p*i + o*i**3 + j + f*i**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/2 - ((-1285570)\/(-308) - (-42)\/(-98)). Is -4177 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*p - 488*p = 5235 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 358 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9 in 0.06, -1\/3, -0.5, -1\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from nnnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o + 54 - 52 + o + o**2. Let a(j) = -3*j - 18. Let y(s) = 2*s + 14. Let h(f) = -4*a(f) - 5*y(f). Suppose -3*d + 3 = -6. What is d*h(l) - 4*b(l)?\nAnswer: -4*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eyeeeeyyyyyeeeye. What is prob of picking 1 y and 1 e?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158294314.\nAnswer: 2, 103, 768419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14.1 - 16.1. What is the nearest to 0.1 in -5, g, -2\/15, 15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0202 - -278.0202. Let m = c + -277.999999819. What is m rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 5*l**2. Let n(t) be the first derivative of -4 + 0*t**2 - 2\/3*t**3 + 0*t. What is n(c(w))?\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/a**(1\/18)*a))\/a*a)**(-1\/40)\/(a**12)**(-41) assuming a is positive.\nAnswer: a**(354257\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 68065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -5*n + 6*i + 27, 5*n - 5*i = 30. Suppose -n = 5*k - 23. What is the remainder when 14 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/3))**44\/(u\/(u**(-4\/5)*u)*u\/(u**(-2\/5)\/u))*((u\/((u**(1\/4)\/u)\/u))\/(u*u**(1\/5)))**42 assuming u is positive.\nAnswer: u**(2737\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 PM and 12:25 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -988*d + 984*d + 120, -2*p + d - 26 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 5*g - 26 = 0, -3*g = 4*f - 8*g - 46. Calculate the least common multiple of 33 and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.038 - -0.328. Let c = z + -2.29. What is the second biggest value in c, -0.02, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22907414 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60516 is divided by 1691.\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -5*r + 1, -5*g + 4*r = -10479. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m**2 - 15*m + 1. Let z(a) = 3*a**2 + 22*a - 2. Let q(h) = -7*g(h) - 5*z(h). Does 5 divide q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.3 - -3. Let c = -0.6 - x. Sort 4, c, -2 in descending order.\nAnswer: 4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 315 a factor of 12216982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o - 2. Suppose -5*s + 3*j + 8 = -10*s, 3*s - 2*j + 20 = 0. Let p be (-2)\/((1 + 1)\/s). Suppose 0 = -4*i + c + 21, -p*c + 0 - 8 = 3*i. Determine n(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a98b9 + -8?\nAnswer: -a98c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 2*g - 4. Suppose -4*z = -69 + 5. Calculate the smallest common multiple of b(10) and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h - 9*h + 15 = 0. Let o(t) = -t. Let z be o(0). Put z, h, 8 in increasing order.\nAnswer: h, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -17*z + 20*z. Solve 5*r + z = -13 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 32*s - 58. Let i be h(2). What is the highest common factor of i and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t - 23. Let b(s) = -1. Let l(x) = -3*b(x) - m(x). Let u = -27 - -38. What is the remainder when l(-7) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ae12 (base 15) in base 13?\nAnswer: 13a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 2.09 and -67.\nAnswer: -64.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (7 + -1)\/((-15)\/220). Suppose 116 = 4*r - 404. Let q = z + r. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 153708348 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r - 5. Let z(q) = 2*q**2 - 6*q. Let g be z(3). Suppose g*d - 21 = d - 4*p, 0 = -p + 4. What is y(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 PM and 2:56 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + sqrt(500)) - (sqrt(330)\/(-3*sqrt(11)))\/sqrt(6).\nAnswer: -149*sqrt(5)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -7*s + 5*s. Suppose s = -3*k + 2*q - 5*q + 18, -2*q = 4*k - 18. Let i = -0.31 + 0.21. What is the third biggest value in k, i, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4 - 26 = -4*y, 5*y - 15 = 0. Let b be j\/15 - (-2)\/6. Is (-1)\/((b - -1)\/(-254)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -2 + (23 - (15 - 7) - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 51637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/20 - (-4)\/(-10). Suppose -6*y + 2*y + 8 = n. Suppose -a + 82 = y*a - 2*x, -3*x = -2*a + 63. What is the remainder when a is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -21*b. Suppose -5*d - 2*v - 3 = -8*d, -4*d + 9 = -v. Let n(i) = -d*i**2 + 3*i**2 + 0*i**2 + 3*i**2 - 6*i**2. Calculate s(n(l)).\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 9:58 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(192) - -1*sqrt(192)) + 2))**2.\nAnswer: 2304*sqrt(3) + 27792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 13697005, 27394044, 41091083, 54788122, 68485161?\n\"Answer: 13697039*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/1)\/((13\/(390\/(-45)))\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 70000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -s**4 - 68*s**3 - 65*s**2 + 134*s = 0?\nAnswer: -67, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2365 is divided by 1128?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8575*q + 18285 = 9370*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 + 1.2. Let m = -143058.00041 + 143057. Let a = p + m. Round a to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 36207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 4 - 3. Let a = x + 7. Let j = 3162 - 3157. Solve -3*o - a - 2 = 4*y, j*y - 2*o = 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14816.9 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -s + m + 3, 4*s + m + 7 - 19 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 141*b**3 + 131*b**3 + 0*b**2 + 5*b**2 - 427*b**3 + 156*b**3.\nAnswer: b**3 + 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n + 31 = 135. Suppose 1353 - 170 = n*i. What is the remainder when i is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 2709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -4*r - 27, 168*f - 173*f + 24 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 25 divided by -25672\nAnswer: -25\/25672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 - 5*m**2 + 6*m - 3. Let u be 12\/(-4) - 1*-7. Let v be i(u). Suppose 4*a = v*p - 14 - 22, 3*a = -3*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 10:58 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86547 is divided by 577.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 PM and 5:11 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -0.3  (c) 0.3  (d) -2  (e) -2.037  (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 - 1154*h - 311634. What is r(-723)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 412 and 156.\nAnswer: 16068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 2*j + 4*t, -380*j + 4*t + 20 = -376*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4256 and 733680.\nAnswer: 195158880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 91620901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*f = 20. Let w = -2.1 + 2. Let r = 0 - w. Sort -0.1, f, r in descending order.\nAnswer: f, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -28823 - -406266. Let d = -377470.99884 + r. Let u = d + 28. What is u rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 minutes before 4:26 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*-8*(-85)\/2. Let b be 2*((-9)\/6)\/(-1). Suppose -340 = -2*o - 5*g, -o + b*o - g - x = 0. Calculate the highest common factor of o and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*d + 18*d + 3. Let u be (-1 - -6)*(3 + -2). Suppose -u*y + y = 16, d*z = 4*y + 49. Calculate the remainder when 31 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 77698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of z**3\/6 + z**2\/2 - z. Suppose 5*k + 0*k = 20. Let f(l) = l**2 - 4*l - 4. What is k*t(g) + f(g)?\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.34 + 2.66. Which is the second biggest value?  (a) 0.4  (b) -67  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 22\/7, -0.3, 1?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + -28. Let d = -18 - m. Let v(r) = -r**3 - r**2 + 100*r + 334. Calculate the remainder when v(-9) is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -34*f + 2125. What is w(63)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 + t**2 - 1. Let p(m) = 5*m**3 + 7*m**2 - m - 2. Let k(x) = -6*f(x) + p(x). Let b be 6\/15 + 24\/(-60). Let q be k(b). Solve 2 = -q*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 50 - 127. Let s = -77 - k. Sort -2, s, 13 in decreasing order.\nAnswer: 13, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -4 + -4*(-5*(sqrt(125)*-2 + sqrt(125))*1 + 4)**2.\nAnswer: -12565 - 800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**3 + 22*d**2 - 17*d + 18. Calculate the remainder when r(10) is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 + t + 9. Let k(y) = y - 3*y**2 + 4*y**2 + 2 - 5*y**3 + 4*y**3. Let b be k(0). Let i = -2 + b. Give u(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9864369 - -3255247849\/330. Let q = -203\/10 + o. Let f = 2031 - 85445\/42. Find the common denominator of q and f.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27082*k - 54872*k - k**3 + 27726*k - k**3.\nAnswer: -2*k**3 - 64*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25.6 + -291.6. Let a = -144 - y. Let d = -122 + a. Sort 0.4, 1\/2, d, -0.2.\nAnswer: -0.2, d, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-13)\/d)\/((d\/d**(-1\/4))\/d))\/(d**(-2\/9)*d**7\/d*d) assuming d is positive.\nAnswer: d**(-757\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -961343 divided by -961343?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 857.53075 rounded to the nearest 10?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -76.9?\nAnswer: 307.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4*j + 17 = -7, -5*s - 88 = 4*j. Let q = s - -30. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.16149 and -0.1.\nAnswer: 0.06149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*(w**(6\/13)\/w)\/w*w\/(w\/((w*w**(-39))\/w)))\/(w\/(w\/((w**(-5\/9)\/w)\/w*w)*w)*w\/(w*w*w**(-21)\/w*w)))**(12\/11) assuming w is positive.\nAnswer: w**(-26668\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28) + -3 + 2 + 0.\nAnswer: -1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -289*y + 274*y + 3 + 10 + 0 wrt y?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 20, 27, 34, 41, 48, 55?\n\"Answer: 7*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1110\/(-1628)*4\/(-15)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -46 - -80. 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: What are the prime factors of 1046271?\nAnswer: 3, 348757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -5*a + 22. Determine x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes before 1:39 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 81 + 394*n + 14 - 395*n to b*n + t and give t.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.8  (b) -0.16  (c) 0  (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a decade in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -234 = -231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100*g**2 + 25*g**3 + 66*g**3 + 230*g**3 - 16*g**3.\nAnswer: 305*g**3 - 100*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 7*t**2 - 5*t. Let p be y(6). Let m = p + -4. Solve -3*z + m = 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/((-2)\/5*45\/(-9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4465067.\nAnswer: 17, 262651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 4:15 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4604097 and 6050468.\nAnswer: 11041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33417.6455 + 35558.652285. Let l = c - 2141. Round l to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2547 at least as big as 157850?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2c6b (base 14) to base 2\nAnswer: -1111011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -89*t**2 + 47*t + 33. What is the hundreds digit of a(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 10 = 0, 63*u + 82 = 66*u - 4*c. Calculate the greatest common factor of u and 7470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 8:15 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 48 = -0*g. Let h = 3464 - 3406. Calculate the remainder when h is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 577 < 403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, 6 in ascending order.\nAnswer: 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 0)*(-2 - 2 + 6)*(-2 + 5*r + 2).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 - 15. Let r be ((-2)\/34)\/(1\/l). Let f = 8 - 6. What is the closest to 2 in r, -2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.05 and -338327.\nAnswer: 16916.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*b**2*i*n - 7005*b**2*i + 502*b**2*n + 424*b*n wrt i.\nAnswer: 2*b**2*n - 7005*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 21 = 4. Let w(l) = l**3 + 5*l**2 - 3. Calculate w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/(u**(2\/3)\/u)*u)**(-2\/45)\/(u*u**(2\/7))**(3\/25))\/(u**3*u\/u**(1\/5)*u)**(-6\/13) assuming u is positive.\nAnswer: u**(117503\/61425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 + 5. Let n be q(0). Suppose n*p - 100 = -0. Let x(i) = -21*i - 4. Let m be x(-4). Calculate the greatest common factor of p and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29507912.\nAnswer: 2, 7, 19, 27733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-4 - (-8 + 9))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (90\/50)\/(-9)*1*(-2)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and 71651.\nAnswer: 71655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, 9, 0, -64.1, 603?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.38 + -0.48. Let p = u + -1.9. What is the closest to -2\/7 in -1, p, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.159 - 137.159. Let h = u - -114.1. What is h rounded to 0 decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/5)\/(162\/20). Let d = 11\/108 - f. What is the third smallest value in 0.1, -2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes after 10:07 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29\/58*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -86?  (a) 16\/29  (b) -0.3  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 382369.\nAnswer: 13, 67, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t + 8. Let k be w(-8). Let d(u) = -u**2 + 2*u + 2. Calculate the remainder when 4 is divided by d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 23 = -15. Let y be 8\/2*(-1)\/l. Let m(o) = o**3 - o + 1. Let t(p) = 4*p**3 - 6*p + 6. Determine y*t(i) + 12*m(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 10 = -4*j, 5*j - 5*a = -0*a - 5. Let f be j - -26 - (-14)\/7. Factor f*n - 16*n + 3*n + 4*n**2.\nAnswer: 4*n*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11785910879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + 12\/3)\/(0 - -1). Suppose v*k + x - 5 = 9*k, -5*k - 5 = 2*x. Which is smaller: k or -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -5893*q**2 + 34*q + 198. Let p(u) = -2947*u**2 + 15*u + 88. Calculate 4*g(l) - 9*p(l).\nAnswer: 2951*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*j**2 - 206*j**3 + 2*j**2 + 328*j**3 - 229*j + 156*j**3 wrt j.\nAnswer: 1668*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13183033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 203134 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 3*q - 30 = 0, 46 = -z + 6*z - 4*q. Let d(o) = -3 - 4*o - 5 + o + 6*o. Let g be d(4). Sort 1, g, z in ascending order.\nAnswer: 1, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 115?  (a) -3  (b) -1\/2  (c) 0.3  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*t + 217 = 630. Is (t\/(-28))\/(5\/(-91100)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**3)**(-2\/125)*g**(-2\/39)*g**(-7) assuming g is positive.\nAnswer: g**(-34609\/4875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 25  (b) 2\/3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/5, 341, -0.27, 4\/5?\nAnswer: 341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + 3. Suppose -k*g + 10 = -g. Find the second derivative of -3*w**2 + g*w + 0*w + 3*w**2 - w**4 wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, 2\/7, -0.03, -5\/3, 0, 29 in decreasing order.\nAnswer: 29, 1\/3, 2\/7, 0, -0.03, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -58, -78, -112, -160, -222, -298?\n\"Answer: -7*f**2 + f - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5 = -2*h, -6 = 4*h + 3*p - 5*p. Let b = 1 + -2. Let z be b - 12\/10 - h. Put z, -2, -1 in decreasing order.\nAnswer: z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 + 10. Let g = 6 - 9. Let h = -1090.04 - -1090.04. What is the third biggest value in h, z, g, 2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of 3*q**4\/4 + 7*q**3\/6 + 18*q**2. What is the remainder when t(3) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11086 or -11087?\nAnswer: -11087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q. Let z(v) = v - 227. Determine z(n(d)).\nAnswer: d - 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -465379 - 888419367\nAnswer: -888884746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*q**4 + 32*q**3 - 12*q**2 - 128*q + 112 = 0. What is q?\nAnswer: -2, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 44834 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 9 = -2*b, -45*b - 9 = -40*b + 3*n for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 264 and 75108?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*m + 7*m - 6*m + (6 + 2 - 4)*(15*m - 3*m - 2*m).\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -3*n - 3. What is the lowest common multiple of t(-3) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 57.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {p: 9, y: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 75\/7 in 0.2, -1, 0.04, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1939*b - 2186*b + 2 - 4 + 2.\nAnswer: -247*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hwwnttnttntwt. What is prob of picking 2 t?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 + (2 - (-295)\/(-100)). What is the closest to -1\/4 in 5, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l + 9. Suppose 10 = -4*n - 10. Let u be h(n). Solve 10 = u*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -117\/4 + 29. Let g = 12669 - 63343\/5. Which is the nearest to h?  (a) -5  (b) -1\/4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/20 and -101\/660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 22200182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31043 (base 6) to base 4.\nAnswer: 1000203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8323151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -40 - -13\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3\/52 - 125\/364. Suppose -t + 3*t - o = 15, 2*o = -2*t. Let u be -4*(968\/48 + -11 + -9). What is the closest to x in u, -2, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 127 + -89. Which is greater: 31 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 u, and 1 z when three letters picked without replacement from zvzueuff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -51*q**5 - 417*q**4 + 717*q**3 + 19359*q**2 - 420*q wrt q.\nAnswer: -3060*q**2 - 10008*q + 4302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 76*g**4*i**2*s + 404*g**3*i**2*s - 2*g**2*i**2*s + 2*g**2*i - 5*g*i**2*s + 3*g*i*s - 4*s wrt g.\nAnswer: 1824*g*i**2*s + 2424*i**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 8*p + 68. Let w be t(-8). Suppose -4*o - 8 = -4*x, -13 + 5 = -5*x + w*o. Solve 8 = -4*r - x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the third derivative of -5667*x**5\/20 + x**4\/8 - x**3\/3 - 2*x**2. Let m be b(2). Round m to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -59410*d**2 + 308*d = 0.\nAnswer: 0, 154\/29705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pupuvvpvuvvtvu. Give prob of picking 2 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 25, 0 = -3*j + 2*t - 9 - 13. What is the remainder when (-2*(-26)\/j)\/(-1) is divided by 5\/(2 - (3 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + j - 3*j - 22 = 0, -4*j = -4*t + 32 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, x: 5, o: 6, w: 1, z: 2}. What is prob of picking 1 w and 1 z?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(2\/3)\/s)\/s*s\/((s\/(s**(-7)\/s))\/s)*s*s)\/((s*s**24)\/(s\/s**(-10)*s)) assuming s is positive.\nAnswer: s**(-58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*a - 117*a - 4*c = 0, c = -4*a - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -17  (c) -3\/4  (d) 4\/5  (e) -376.665\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 + 619980*o + 32031266700.\nAnswer: 3*(o + 103330)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 - 10*v + 14. Let u be z(11). Suppose -2*b - 3*b - u = 0. Let w(s) = s - s - 4 - s. What is w(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -4 + -4 + 1 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p**2 - 7*p + 18. Let j be d(3). Let r = -9 + 19. Suppose 5*i - 4*i = r. Calculate the highest common factor of j and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -692 - -716. Let i be f\/(-14)*(-7 + (-7 - -7)). Solve i = 2*k + k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence abb when three letters picked without replacement from gzzagizzbgzfzzgzgz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**4 - 5 + 5)*(f - 2*f + 0*f) + (7*f**5 - 4*f**5 - 5*f**5)*(3 - 4 + 4).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - s + 2*s - 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -2 + 44*j**2 - 39*j**2 + 2*j - 2. Let g be (-18)\/2 - (-2 + 0). Let n(l) = -11*l**2 - 4*l + 9. Give g*m(a) - 3*n(a).\nAnswer: -2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 15.2. Let q = 1.2 - l. Let k = 0.1 - 0.2. Which is the nearest to -0.1?  (a) k  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5 - 2) + -9 - (5 + -1). Suppose 3*d + 205 = -71. What is the common denominator of (d\/(-42))\/(q\/75) and -73\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/(q*q*q**(-1\/5)))*q**(1\/7)*q*q)\/(q*q**(-2))**(1\/58))**(2\/9) assuming q is positive.\nAnswer: q**(8039\/9135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6 + (-6)\/(7 - 6). Is (40\/(-14) + k)\/((-16)\/728) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1*(0 + sqrt(176) + -1) + -1 + 1 + sqrt(176)*-1 + sqrt(176) + -5))**2.\nAnswer: -1200*sqrt(11) + 5300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130*b = 131*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 4 = -b, -2*g - 3*b + 2 - 14 = 0. Suppose -4*p + 31 = -3*n + 1, 5*p - 3*n - 36 = g. Solve -17 = -p*o + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -5*y - 1. Let s(v) = -6*v - 2. Let p(c) = 5*m(c) - 4*s(c). Let t be p(-2). Solve -2 = -t*u + 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13440.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 - o**2 - o + 1. Let h(f) = 3*f**3 + 2*f**2 + 51*f. Determine h(x) + 2*y(x).\nAnswer: x**3 + 49*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 14956 times -11?\nAnswer: -164516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -47.9577 - -47.9. What is d rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 29*b**2 + 15*b - 2. Give k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 5*j + 1991, -2*l + 1002 = -2*j - 2*j. Suppose 29953 = 6*p + l. Is p 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 3311472962?\nAnswer: 2, 7, 61, 3877603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 + o**2 + 11*o + 4. Let f(z) = -z**3 + 2*z**2 + 10*z + 5. Let y(d) = -3*a(d) + 4*f(d). Calculate the smallest common multiple of y(6) and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3495?\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-68)\/(-68))\/(30\/(-4)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p + 5 = 159. Calculate the remainder when p is divided by ((-2)\/(-2))\/(3\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 12*k - k**4 + 6*k**2 - 31*k + 4*k**3 - 5*k**3 - 4*k**2 to o*k**2 + q*k**4 + h*k + z*k**3 + w and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i + 40 = -3*g + i, 0 = 3*g - 2*i + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**4 - 961946*i**3 + 29818914*i**2 - 245280870*i + 216423900 = 0 for i.\nAnswer: 1, 15, 480942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-7)\/i**(1\/5)*i**(-5)*i*i\/((i**(6\/5)\/i)\/i*i))\/(i\/i**(1\/8)*i**(11\/4))**(-1) assuming i is positive.\nAnswer: i**(-271\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 41*b**2. Let d = 12105 - 12102. Let n(f) be the second derivative of 1\/6*f**d - 12*f + 0*f**2 + 0. Give k(n(m)).\nAnswer: 41*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 4*z - 13. Let f = -46 + 43. Let d be (f - 48\/(-18))*-9*3. List the prime factors of t(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 503 minutes after 10:36 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 18 = -0*f - 4*x, -f + 4*x + 17 = 0. Let a = 16 + -11. Suppose 3*t - 8 = u, -4*t = -5*u - 0*u + 4. Solve u = -a*y - f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssxsxgxxxxxgggxxs. What is prob of picking 1 s and 3 g?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*m**3 - 10*m**2 - 76*m - 4472 wrt m?\nAnswer: -6*m**2 - 20*m - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 517 is divided by 172.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92399 is divided by 3411?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -2711.76796 to one decimal place.\nAnswer: -2711.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t**2 + 16*t + 46. Calculate c(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 555 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 16.077138 hours?\nAnswer: 0.09569725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2299) + -1 + 3 + sqrt(95)\/(1*1*sqrt(5)))**2 + 3.\nAnswer: 48*sqrt(19) + 2743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000094677015 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -1\/46, -1, 1, -456?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 4*f**2 + 6*f + 9. Calculate the remainder when 24 is divided by o(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128*v - 129*v + 1360 = -2*c, -3*v = -5*c - 4084. Does 72 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 898187, 1796292, 2694313, 3592250, 4490103, 5387872, 6285557?\nAnswer: 7183158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.16198 - 0.46198. What is the third biggest value in 22, r, -1\/2, -0.07, 6?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tje when three letters picked without replacement from {o: 1, t: 3, j: 2, e: 1, w: 4, s: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7*g**4 + 3*g**3*h**2 - 6*g*h**2 + 411*h**2 wrt g?\nAnswer: 28*g**3 + 9*g**2*h**2 - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (1 - ((7 - 2) + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -111, -115, -119, -123, -127?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -2*j + 3*o + 159, -3*j - 2*o - 158 = 0. Let b = -40 - j. What is the highest common divisor of 96 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 112 + -95. Let u = -6788 + 11375. Suppose 6*d + u = f*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 181984.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 26*b**2 + 1072*b + 6. Let r(l) = -l - 1. Let z(t) = h(t) + 6*r(t). What is the second derivative of z(k) wrt k?\nAnswer: 6*k - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2747870797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.218446861 to three dps.\nAnswer: 0.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.01 + 1.1. Let u = -3.91 - o. Let f = 0 - 0.2. Put f, u, -3 in ascending order.\nAnswer: u, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1168\/7 + 12\/7*c**2 + 1760\/7*c.\nAnswer: 4*(c + 146)*(3*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.26729031 rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4284994?\nAnswer: 2, 7, 19, 89, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 181332 and 15768?\nAnswer: 362664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from krkkrkkvkgrv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1145 divided by 5.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 5*d - 1502989 - 5036986, 5*b + 4*d = 10900020. What is b rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 - 3 + 2*l + 6)*(-3*l + 7*l - 2*l + (-3 + 1 + 1)*(27 - 14*l - 27)) + 4*l**2 - 2*l**2 - l**2 to o*l + g*l**2 + f and give o.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 445493 * 1\nAnswer: 445493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 85 and 11.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 10 - 13*s + 584*s**2 - 291*s**2 - 287*s**2. Suppose -4*y + 0*k + 28 = 2*k, 7 = y + 3*k. Let p(q) = -2*q**2 + 4*q - 3. Determine y*p(i) + 2*c(i).\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -4. Let q = -3 - 0. Let f = q - -1. Which is the second biggest value?  (a) 4  (b) m  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000018948639 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -380*n + 440*n = 300. Which is the fourth biggest value?  (a) 2  (b) n  (c) 27\/10  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1054616.461 rounded to the nearest 10000?\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 214.5 - 329.4. Let m = 115 + g. What is the closest to m in 2, -5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-75)\/(-10)*(-1)\/(50\/(-4)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1515 (base 6) to base 8.\nAnswer: -627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(448) + 1 + (sqrt(448) - 1*sqrt(448)*3))**2 - ((-2*sqrt(1008))**2*6 + 3).\nAnswer: -23731 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, j: 3, o: 4, c: 2}. What is prob of sequence ej?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2864 - 2866. Sort -2\/41, -5, 2, h, -2\/21.\nAnswer: -5, h, -2\/21, -2\/41, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -3*w + 3. Suppose -4*z = 5*t - 19, w*t - 6 - 8 = -5*z. Solve t*s = 8 + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 368165 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*l**3*w**3 + l**3*w - 1117*l**2*w**3 - 3514*l**2*w**2 wrt w?\nAnswer: 18*l**3 - 6702*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38 - -17498. Is 137 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32994961 a multiple of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2466*f - 2667*f - 10490*f - 10375*f - 6265*f)*(-4*f - 3*f + 6*f).\nAnswer: 27331*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7*(-1 - 0) - -1. Suppose 0 = -818*i + 1489 - 5579. Put o, i, 2 in descending order.\nAnswer: 2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 594856\/7 at most as big as 84978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1676012cm to meters.\nAnswer: 0.001676012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(3\/8))**(-14\/3)\/(f**(-5\/4)*f\/f**(-1\/4)) assuming f is positive.\nAnswer: f**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 2*d = -2*m + 16, 3*d = 2*m + 774 - 733 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -2. Suppose m*c = 4*c - 12. Let o(f) = c*f + 0*f**3 + f**3 + f + 2 + 5*f**2. What is o(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6973 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/144 and -143\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 e, and 1 a when three letters picked without replacement from {e: 3, m: 5, a: 1, s: 4, f: 4, x: 3}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -466\/21 - -198757\/8778. Let n = -3\/22 + l. Which is the smallest value?  (a) 2\/9  (b) 0  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 45 and 541210?\nAnswer: 4870890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9 and 115164081.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -75 - 133607528.736.\nAnswer: -133607603.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 3)*(-5 + 2 + 5)*(v - v + 6*v) - v + 0*v + 0*v.\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11\/((-44)\/(-4240)) + (-1 - 5).\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/179, -0.5, 5, 19, -2 in descending order.\nAnswer: 19, 5, -2\/179, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/6 + 2*i**2 - 35*i\/6 + 4.\nAnswer: -(i - 8)*(i - 3)*(i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8.73533 and 255.\nAnswer: -2227.50915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) 1\/4  (b) 2\/7  (c) -0.02  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**4 - 2*j - 7*j**2 - j**4 + 0*j)*(-4 + 7 - 2).\nAnswer: j**4 - 7*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of 1\/9*b**3 - 14 + 0*b**2 + 0*b. Factor l(p).\nAnswer: p**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2269*i + 3266*i - 6800*i + 2860*i.\nAnswer: 1595*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*h - 80 - 225 = -53. Calculate the highest common factor of 2430 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -86 + 0 + 3 + -18 + (-437 - -460)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 - 7*r - 6. Let y = 5 + -1. Suppose 5*v - y*n + 7 = -21, 0 = -4*n + 8. Determine d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, h: 8, q: 6}. What is prob of sequence ih?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(624)*6)\/(-1*sqrt(3)*2).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 1 + 5)*(0*x**4 + 4*x**4 + 5*x**4) in the form q*x + z*x**4 + w*x**2 + a*x**3 + j and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 198 divide 6720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -4*n + 73. Calculate the smallest common multiple of a(17) and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 21\/17  (c) -0.1398  (d) 1  (e) 4\/7  (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0716829607 from 303.7.\nAnswer: 303.6283170393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 307210*g - 2764886. Calculate c(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/(-20)*2\/6)\/((-3)\/(-20)*-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -42*x + 111*x**3 + 22*x**3 + 43*x + (2*x + 2 - 2)*(-6*x**2 + 2*x**2 + 2*x**2) in the form n*x**2 + b + p*x**3 + q*x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.024 + -0.246. Let m = s - -6.67. Let g = -6 + m. Which is the closest to -1?  (a) g  (b) -0.1  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 173344 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36456\/(-1 + 7) + -2.\nAnswer: 2, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.58 + -5.58. Let d = -0.1 + 0.5. What is the third biggest value in -1\/7, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 618782 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**2\/3 - 1062*j + 10879596.\nAnswer: -2*(j - 3321)*(j + 4914)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4993*g**6 - 3*g**5 + 10*g**3 - 843523*g**2 wrt g.\nAnswer: -599160*g**3 - 180*g**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 285 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 10:56 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*m + 9*m - 9. Solve -10 = z - w - 2*w, 2*w - m = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -16, 28, 122, 284?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4734238 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**5*n\/(n\/(((n*n*n**(2\/9)\/n)\/n)\/n))*n*n**(-3\/2)\/n*n*n**(-4))\/(((n*n**(-1\/5))\/(n\/(n*n**(1\/6))*n*n*n))\/(n*n*n*n**1*n)**(-44)) assuming n is positive.\nAnswer: n**(-9821\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 210*45.\nAnswer: 9450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -112 + -32 + 155 + 99\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 4, 5*k - 2*k - 8 = t. Let z(h) be the first derivative of k + 2*h**2 - 3*h - 1\/3*h**3. What is z(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((sqrt(143) + (-2*-2*sqrt(143) + sqrt(143) - sqrt(143)) - sqrt(143))*6)\/(1*sqrt(891)*-2)*4)**2.\nAnswer: -3328\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 - 2*a. Suppose 5*n - 10 = -0*n. What is w(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 24*y - 92. Let u be m(4). Suppose 3 = -3*h + t - 11, u*h + 36 = -3*t. Let a(g) = -3*g + 7. Let q(n) = -8*n + 20. Calculate h*q(c) + 17*a(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Simplify (q**(-8))**(-24) assuming q is positive.\nAnswer: q**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 PM and 11:00 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/2 + (-3)\/(-6). Let m(h) be the second derivative of -h**4\/12 - 3*h. Let i be m(2). Which is the closest to w?  (a) 0.1  (b) -1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-16 - 3*i + 16)*(-i + i + i**2)*(-14 + 43 - 19)*(-3 - 4 + 5) as j*i**3 + q*i + h*i**2 + r and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (540\/(-1200))\/(13\/(1170\/27))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 1 + (0 + -1*sqrt(425) + 1)**2*-2 + 3.\nAnswer: -850 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - z + 1. Let h(x) = -4*x**2 + 2*x + 2. Let l(f) = 2*a(f) - h(f). Find the second derivative of l(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132481 is divided by 192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.09421 - 0.35?\nAnswer: -0.44421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 390158*54\nAnswer: 21068532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 39\/(-52) + 4*(-9)\/(-240)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vib when three letters picked without replacement from {f: 1, v: 1, h: 1, i: 3, b: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -9639*z + 8. Calculate o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43911, 87782, 131653, 175524, 219395?\nAnswer: 263266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 97.8, 9, 3, -0.1, 5, 0.3, 22\/9 in decreasing order.\nAnswer: 97.8, 9, 5, 3, 22\/9, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25\/((-7475)\/92)*1\/(-4)*1.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -21*r**3 + 3*r**2 + 3*r - 11. Let i(l) = -20*l**3 + 2*l**2 + 2*l - 10. What is -2*a(t) + 3*i(t)?\nAnswer: -18*t**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 68771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - 2)\/(3 + -4). Suppose 2*i = -w*i + 614. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.13 in 0.4, 7.04, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -4, -3 in increasing order.\nAnswer: -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/80)\/(((1410\/2538)\/((-10)\/(-27)))\/18).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of (-62 - -57) + 92*67 - 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (514 - -1)\/(285\/18 + -15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 3*h - 4*f, 33*h = 37*h - 3*f + 19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -3*p + i + 1284, -6 = -3*i. List the prime factors of p.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + 14*d**2 - 8*d - 5. Let s be f(13). Let u = s - 55. What is the lowest common multiple of 1 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -11 + -66?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4*k = -28, i + 2*k = -3*k - 14. Find the second derivative of 32*m**2 - 17*m**2 + i*m - 2*m wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {y: 4, v: 2, m: 10}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 9*m. Let u be -4 - 39\/(-9) - 20\/(-3). Suppose u*r + 0 = 14. Determine j(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 428, 2302, 5630, 10424, 16696, 24458, 33722, 44500?\nAnswer: 56804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 378, 346, 314, 282, 250?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z - 4*p - 13 + 45, -5*z + 5*p + 90 = 0. Solve j - 4*h - 6 = z, 3*j - 5*h - 22 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -9  (b) -16.3  (c) -2\/111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4 and -6149.961?\nAnswer: 6150.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1872558 - 1152599. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/2 - 63\/(-14). Put -2, 2, y in descending order.\nAnswer: y, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8404 is divided by 2551?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -1705\nAnswer: 1\/341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a millisecond in microseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -66, -58, -38, 0, 62?\n\"Answer: b**3 + b - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 18*q + 172. Let o be c(25). Suppose 24 = -17*d + o. Solve -20*z + 1 = -d*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/11 - 416*p\/11 + 2130\/11.\nAnswer: -2*(p - 5)*(p + 213)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 27*v**2 + 459. Let z(b) = -1. Calculate 6*n(s) + 2754*z(s).\nAnswer: 162*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1561, -2\/7, 53\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1278891 from 0.14.\nAnswer: -1278890.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 40263 - 780?\nAnswer: 3a593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 11 = -3*m, -2*d = -7*d - 2*m + 4. Calculate the common denominator of -17\/7 and d\/4*2\/(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 556642280 to the power of 1\/3, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of 0*y**3 - 3*y**2 - 1\/30*y**5 + 0*y**4 + 0 + 0*y. Let g(u) = 17*u. Determine p(g(i)).\nAnswer: -578*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 420 = -39*t - 4*t - 483 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3405830?\nAnswer: 2, 5, 340583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 188 - 75. Let o = z + -88. Find the second derivative of o*r + 158*r**2 - 164*r**2 + 17*r - 7*r wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 213 (base 5) in base 3?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7647508 is divided by 960.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 354392, 708778, 1063164?\nAnswer: 1417550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (225\/(-6))\/((-1)\/(-4)). Let p = -146 - y. Solve 0*w = -2*w - 3*s - 20, 0 = -p*w + 3*s - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 12088, 48550, 109386, 194596?\n\"Answer: 12187*d**2 - 99*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l + 9 - 3*l**2 - l**3 + 8*l - 3*l. Suppose 44 = -4*t + 20. What is the tens digit of r(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/(-20))\/(0 - (-39)\/(-12)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - o + 17, -4*n - 4*o = -1 - 3. Let i be (n - (-1 + 6))*47. Let z = -46 - i. Is z <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 17 = -4*d. Suppose -2*s + d*s + 12 = 0. Let g be 6\/(-117)*9\/s. Which is the third biggest value?  (a) g  (b) -3\/5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 - 31 - 8*d - 6*d + 8*d**2.\nAnswer: 8*d**2 - 14*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the third derivative of 1\/120*o**6 + 0*o + 7\/60*o**5 - 4*o**2 + o**3 + 0 + 1\/8*o**4. What is the tens digit of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*f - 0*f + 413. Is f*1 + ((-5)\/(-1))\/5 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -70 + 75. Suppose 0 = -6*w + 11*w - r. What is the lowest common multiple of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -98203, -98200, -98195, -98188, -98179, -98168, -98155?\n\"Answer: c**2 - 98204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sn when two letters picked without replacement from isixunsnx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/20 of a kilogram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 0 - (40\/(-60) + 1088\/(-24)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 - 1 - -2 - -5. Suppose -10 = -2*b - 0*b + t*h, b = 2*h + 6. Suppose v + 7 = f, -4*v - 3 = 1. Solve -f + b = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13546, -53802, -120896, -214828, -335598, -483206, -657652?\nAnswer: -858936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of -28*n**5\/5 + 18*n - 48. What is the first derivative of b(k) wrt k?\nAnswer: -112*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gpgppppppppgpp.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2730 and 3510.\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(78) + 2*sqrt(78)) + sqrt(78))\/(sqrt(6) - -1*(sqrt(6) - sqrt(6)*-1)) + 0.\nAnswer: 19*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 48 + 13. What is the lowest common multiple of 14 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 minus 4840929724035?\nAnswer: -4840929724035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**2 - 22*l + 10. What is the remainder when k(-6) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*((-48)\/156 - (-291)\/(-195))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**3\/4 - 673*j**2 - 18697*j - 130536 = 0. What is j?\nAnswer: -2664, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33 + -32.9. Let h(q) = -q**2 - 6*q - 1. Let t be h(-6). Which is the third smallest value?  (a) -0.1  (b) t  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -13. Suppose 0 = 2*h - 2*a, 3*a = 2*a + j. Solve 2*u + 2*w - 1 + 3 = 0, h*u - 37 = 5*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dzdzndzznddddt. Give prob of sequence zzd.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of a**6\/6 + 57*a**4\/4 - a**3\/3 + 367*a + 506. Find the third derivative of n(m) wrt m.\nAnswer: 60*m**2 + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21031985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(378) - sqrt(378)*1))\/(sqrt(66)\/(sqrt(33)\/sqrt(3)) - sqrt(96)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.01 - -2.99. Let c = 44 - 83. Let t = 38.5 + c. What is the smallest value in 3\/4, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from euejexxxjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -138 - -137. Let y be 6\/(-10) - 1\/(-2). Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**2 + 0*x**2 + 20*x**3 + 1563*x - x**2.\nAnswer: 20*x**3 + 1563*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.238 - -1.1809. Round a to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -34, 23 in descending order.\nAnswer: 23, -13, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-171)\/114*(0 + 49 + 1). Let j be (r*(-4)\/(-16))\/(4\/(-16)). Let v = -39 + j. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10 + -26 - 5\/(-1))\/(-1). Let v = -5 - -9. Suppose x - 2*x + d + 217 = 0, v*d = 0. What is the highest common factor of t and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, e: 2, x: 2, a: 1, s: 2}. What is prob of sequence hs?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 677617727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-12)\/n**(-13))\/(n\/n**(7\/3)*n\/(n\/n**2)))**31 assuming n is positive.\nAnswer: n**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -64 (base 11) to base 15.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-22))\/(190\/(-2090)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 5358.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 58892427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -118137.8 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + 27*m - 31. Let s be (-3 - 42)*(3 - -1)\/4. Let a = s + 70. What is the remainder when u(a) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -11*d + 3. Suppose 30 - 69 = 6*m - 27. Calculate s(m).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 7807.\nAnswer: 3\/7807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -0.2  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76) + (-1*sqrt(76)*3 - sqrt(76)))\/sqrt(4).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -6*g**2 + 7*g + 7. Let l(a) = 2*a**2 - 2*a - 2. Let b(t) = t**3 - 13*t**2 + 7. Let q be b(13). What is q*l(d) + 2*s(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 191969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23 - -47. Let c be 54464\/160 + 4\/(-10) + 0. Suppose -5*y = 15, 3*m = 8*m + 5*y - c. What is the remainder when m is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -23743 divided by 2?\nAnswer: -23743\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**4\/17 + 8730428*s**3\/17 + 9527555363322*s**2\/17 + 19055084535368*s\/17 + 9527537902472\/17 = 0?\nAnswer: -2182606, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128*s**2 + 19399*s + 19394*s - 38794*s + 137*s**2.\nAnswer: 265*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 9:18 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/((-15)\/4))\/((-53)\/795).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2118.6 + 6743.4. Let y = 8862.16938 - c. Let x = -0.17 + y. What is x rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dqmie. Give prob of sequence emqi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/145  (b) 0.7  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of -y**4\/4 + y + 2. Let n be k(0). Find the first derivative of g + 1 + n + 2*g wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -139, -2\/5, -0.3, 0.\nAnswer: -139, -2\/5, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = h - 1, -2 = -h - h - 4*q. Let i be -2 - h\/(1\/2). Is -5 + (i - -5) + 65 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -261.4 * -255.\nAnswer: 66657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-3)*12\/(-8). Let y = 18 + r. Suppose 3*n = -y + 8, 3*w = -3*n. Let c(t) = 2*t**2 - 5*t - 3. Calculate c(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from xvhhxhnjxxn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 0  (b) 2864  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2202200 + -12?\nAnswer: -2202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x + 3*x - 4*x - 3 - 5*x + 3 + (-2 + 0 + 4)*(2*x - x - 4*x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.62595 to two dps.\nAnswer: -1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000047602584 to 7 decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 43*u**2 - 7*u - 3. Let i(z) = -14*z**2 + 2*z + 1. Give 7*i(o) + 2*x(o).\nAnswer: -12*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**6*r**25 assuming r is positive.\nAnswer: r**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 - -1. Let d = 28 - q. Suppose d*s + 7*s = 6981. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -9, 275, 545, 795, 1019, 1211?\n\"Answer: -q**3 - q**2 + 294*q - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 123061 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -52, -104, 5\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 4  (b) 0.2  (c) 1\/8  (d) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-9))\/((-23)\/115)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 8*s**2 + 10*s + 9. Is g(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13 + 2. Solve -d - j = 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 22\/45 and -3.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-7)\/21*(-4)\/6. Let z = 1.499 + -1.999. Sort -4, z, x, 0.2 in decreasing order.\nAnswer: x, 0.2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -775*n - 2469 - 380 + 2383*n**4 + 775*n + 684 wrt n.\nAnswer: 9532*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -367 - -360. Let i(q) = -2*q**2 - 12*q + 11. Calculate i(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 7 = -2*j, 2*j + 3 = -j + 3*q. Let v be (-1)\/j + 34\/(-4). Let u = v - -18. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1095 + -1093. Let k(s) be the first derivative of 0*s - 9 + 0*s**4 - 3\/5*s**5 - 1\/3*s**3 + 0*s**d. What is the third derivative of k(u) wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 2449 - 226. List the prime factors of v.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*m + 294 = -55*m - 3*n, -154 = -m - 2*n. Calculate the smallest common multiple of m and 90.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00024192781 to 7 decimal places.\nAnswer: 0.0002419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24809 + 25655 = 38*m. List the prime factors of m.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.06 * -40\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -12.75.\nAnswer: -11.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4824112 by -52436.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 4:14 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 - 14*v + 2. Let g be k(-13). Let d be 24\/g*5\/2. Suppose d*f - 5 - 103 = 0. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 104, 100, 96, 92?\n\"Answer: -4*d + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 2*i - 13. Let w be 2\/(-8) - 355\/20. Let u be -3*3\/(w\/22). Let k be h(u). Calculate the highest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17216549 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -3*s - 1. Let g(u) = 4*u + 1. Suppose -2*n + 4*f + 18 + 6 = 0, n - 3*f = 15. Calculate n*m(l) + 5*g(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 34429739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 183?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 357778251 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h**5 + 8*h**4 + 15*h**3 - 4*h**2 - 20*h = 0. Calculate h.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of r**6\/120 + r**5\/10 - 5*r**4\/12 - 5*r**3\/6 - 3*r**2\/2 - 2. Let t(f) be the second derivative of s(f). Does 8 divide t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15 in 0.4, -4\/41, -0.06, -1\/16?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m**2 - 3*m**2 - 2*m**2 - 2*m**2 + 2*m**2 + m**2 + (3 - 2*m - 3)*(-6*m + 2*m + 5*m) - 3*m + 3*m - 2*m**2 + 686*m**2 + 732*m**2 + 601*m**2.\nAnswer: 2014*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + 1 + (-1344)\/720. Let x(i) be the first derivative of 1\/6*i**4 - 4\/3*i - 5\/3*i**2 + 9 + o*i**5 - 2\/3*i**3. Suppose x(s) = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1140*i**3 + 1893*i**3 - 725*i**3.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1*(-30224)\/(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12505503 - 5?\nAnswer: 12505465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62472.2 nanograms to micrograms.\nAnswer: 62.4722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 148 and 88800.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10\/8)\/(3\/12). Let m = u - 25. Calculate the remainder when -3*m\/6 + 1 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2\/3 + 50*t - 149\/3.\nAnswer: -(t - 149)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (108\/180)\/((-72)\/(-30))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 214218397 to the nearest integer?\nAnswer: 14636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 7 = 18. Suppose -y = -2*r - 6, t*r = -7*y + 3*y - 28. Is r at least as big as -32\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 314651 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f + 12. Let u be p(-8). Let k = -2.6 + -0.4. Put u, k, -2 in descending order.\nAnswer: u, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express v**4 + 82 - v**3 - 3*v**4 + 3*v**4 - 73 in the form j*v**2 + n*v + i + s*v**3 + c*v**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 233 a factor of 7906 + -3 + (228\/(-133))\/((-6)\/(-21))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 814475503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -30 - (-12 - -14 - (-12 + (-8 - -9))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -4 - 121. Let w = z + 128. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*l - 8*l = -2*x + 4, 15 = 3*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -24230.84816 to the nearest 100.\nAnswer: -24200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.2, 22, 0.3, 3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11 - 22214?\nAnswer: -22230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 228, 431, 634, 837, 1040, 1243?\n\"Answer: 203*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.189548 litres to millilitres.\nAnswer: 189.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 20, -2*w = 4*q - 15 - 51. What is the lowest common multiple of q and 270?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the first derivative of -a**5\/5 - a**4\/4 + 4. Let l(n) = -4*n**4 + 5*n**3 + 16. Let i(d) = -l(d) - 5*t(d). Find the first derivative of i(q) wrt q.\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of -9*d**5\/20 + d**4\/4 - d**3\/2 + d**2 - 12244*d. Let z(m) = 17*m**3 - 7*m**2 + 7*m - 5. Determine 5*p(k) + 2*z(k).\nAnswer: -11*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -46*h*r**3 + 9*h*r**2 + 140*h*r + 7*r**4 wrt r?\nAnswer: -276*h + 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 + (-2)\/(-1 - -2). Solve -z - 3*z + 20 = u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -75 + 69. Let y be -1*(2 + (-6 - (4 + w))). Factor 0*l - 2\/9*l**3 + 0 + 2\/9*l**y.\nAnswer: -2*l**2*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**3*y**2 - 470*n**3 - 36099*n**2*y**2 + 50*y wrt y?\nAnswer: -2*n**3 - 72198*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*w = -106 + 18. What is the derivative of -10*t**2 - 266 + 10*t**w + 0*t**3 - 43*t**3 - 2*t**3 wrt t?\nAnswer: -135*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 2) + 0 + (8 - (7 + -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30 + 30 + -63 + -1 + (3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:49 AM and 8:44 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 * -1195247.42\nAnswer: -11952.4742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 2*a**2 - 7*a - 7. Let w(y) = 3*y**2 + 7*y + 7. Let t(m) = 3*q(m) + 2*w(m). Let s(f) = f**3 + 3*f + 3. Give -7*s(n) - 3*t(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*i**3 + 44*i**3 - 107*i**3.\nAnswer: -31*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6046611 - -11?\nAnswer: 6046622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 570 and 1230.\nAnswer: 23370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 386 - 4?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (3\/7)\/3 - 240\/504\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-20957706)\/(-891) - (-14)\/(-9).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - 1078aa?\nAnswer: -1078a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of (6 - 1689)\/(0 - (-5)\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 1\/5, 0.1, -0.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 3*y + 2*u + 34, -2*y - u = -7. Is 6 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/(-25)*(-5)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(272))**2*-1 + 1*sqrt(1088) - (sqrt(272))**2*4*-1)*-1 + -4.\nAnswer: -822 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -391982*o**2 + 15. Let r(s) = -s**2. Give m(r(a)).\nAnswer: -391982*a**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 12:30 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308*j - 10454 = -300 + 10 for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 0.3. Let f = -85.2 + 90.2. What is the biggest value in 2, f, l, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 58 - 14 - 22275\/506\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 517.8067 litres?\nAnswer: 517806.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -4*n**2. Let b = 11559 - 11562. Let f(s) = 9*s**2 + 1. What is b*f(x) - 5*q(x)?\nAnswer: -7*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -53 - -59. Let o be (b\/(-9))\/1*-21. Suppose -1 = -5*h - x + 13, 0 = -3*h - 2*x + o. Solve -l - 4 = -h*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of 2*r**3\/3 + 235. Let z(x) be the first derivative of -3*x**2 - 1. Determine z(l(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1355*p + 216 = -1389*p + 760 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/5)\/t)**(-1)*(t\/(t*(t\/t**3)\/t))\/t*t**0*t)**(7\/6) assuming t is positive.\nAnswer: t**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 41*w**2 + 863*w - 5354. Determine d(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38148 and 30668.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 56 + -117. Let i = -58 - w. Calculate the remainder when 5 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - -3. Suppose 0 = s - 0*s - 3*g - 11, t*s - 131 = -4*g. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -i**5\/60 - i**4\/6 - i**3\/6 - i**2. Let h be x(-2). Suppose 0*k + 4*a = 2*k + 4, -5*k - h = -3*a. Is k at most as big as 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/105)\/(23\/(-230)). Let m = -2.3 - -4.3. Does m = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -17456, -5807, 13600, 40759, 75664?\n\"Answer: -p**3 + 3885*p**2 + p - 21341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 29 + -25 - (-3 + 7). Solve 10*i + 144 - 194 = x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x + 3. Let s be p(-4). Let c(a) be the third derivative of a**6\/120 - 7*a**5\/60 - a**4\/12 + 2*a**3\/3 + 11*a**2 + 36. What is c(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4600930 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4003 - 4008. What is the biggest value in 4\/5, -1.5, d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.124 - 32.024. Let z = 32 + o. Which is the second biggest value?  (a) z  (b) -4  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*y - 9*y - 2*r + 8 = -27*y, 14*r = 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of -5*o**4\/24 - 31*o**3\/2 - 3*o**2 + 18. Let r be m(-19). Solve 0 = -0*i + 3*i, k - r*i = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 336529 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 prob of sequence dy when two letters picked without replacement from {h: 1, d: 6, y: 4, s: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kumc when four letters picked without replacement from uwwkwcmpcuukkpk?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -1\/3*w**4 - 4\/3*w + 0*w**3 - 4 + 3*w**2 = 0?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3413 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 18 = 2*n, 33 = 5*t - 0*t + 2*n. Suppose -t*w = -5 - 15. Suppose w*c = 2*c + 22. Is c less than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, o: 5, q: 3}. Give prob of picking 1 q and 3 o.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 + 14*t**2 + 13*t + 8. Let d be z(-9). Let i be 2\/(-9) + d\/36. Suppose 6*q - 28 = -i*q. Solve -6 = -q*s - s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 408*v + 3594 - 1569 + 1239 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -105?  (a) 0  (b) 1  (c) 77  (d) 0.0459\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 671 smaller than -1783951?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*i + 0*i + 11*i - 23*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 52123 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/((-9)\/(-24)*(-24)\/(-18)). Let f be (-9)\/(-12) + (4137\/l)\/(-7). Calculate the highest common divisor of f and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 619*f**2 + f + 6. Let i(c) = 3094*c**2 + 5*c + 34. Determine -2*i(d) + 11*s(d).\nAnswer: 621*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -405, -2496, -5981, -10860, -17133, -24800?\n\"Answer: -697*q**2 + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 878349590 to the nearest integer?\nAnswer: 29637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 20 = 0, -4*i + 5*i + 35 = -4*v. Put 1, 2, v in ascending order.\nAnswer: v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of y**4\/8 - 37*y**3\/6 - 119*y**2. Let c be w(12). Put 1, -86, c in decreasing order.\nAnswer: 1, c, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 357.7167 litres?\nAnswer: 357716.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9124*q + 2417*q - 1022*q - 2734*q - 3241*q + (-5*q + 3*q + q)*(-3 + 4 + 1).\nAnswer: -13706*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (16\/(-3))\/(33572\/(-2238) - -15). Suppose 5*m = -11*m + y. List the prime factors of m.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence osos when four letters picked without replacement from {o: 2, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -n**4 + 265*n**3\/3 + 721*n**2\/3 + 635*n\/3 + 182\/3 = 0.\nAnswer: -1, -2\/3, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33\/(198\/1020) + -11 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 2*j - 7 + 1 = 0, -2*o = j - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5363\/7266 + (-4)\/7. Let a(x) be the third derivative of -3*x**2 + 2\/3*x**4 + 4\/3*x**3 + 1\/60*x**6 + 0*x + 0 + g*x**5. Factor a(r).\nAnswer: 2*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of a**4\/12 + 5*a**3\/6 - 5*a**2\/2 + 42*a. Let i = -4 - 1. Give y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 AM and 9:02 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a**2 - 3*a**2 + 2*a**2)*(331 + 174 - 76).\nAnswer: 1287*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = 3*d - 2*y + 1, 5 = 3*d + 5*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 4038852317?\nAnswer: -4038852320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 216 + 5*r**3 - 216.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -271867 or -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, -15\/22, 0 in ascending order.\nAnswer: -3, -1, -15\/22, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 - 9*z + 4. Calculate w(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3914 - 155?\nAnswer: 3759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/12, 0.07282, -1\/2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -4881?\nAnswer: 1464.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1961.52752 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10058757, -20117522, -30176287, -40235052, -50293817?\nAnswer: -60352582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008434 rounded to 4 decimal places?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/4  (b) 0  (c) 6  (d) -5277  (e) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 54105569 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10*27\/(-90))\/(1\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = -10*b + 16. What is the second derivative of -137 + 32*g**2 - 38*g**2 - 4*g + b*g + 7*g**4 + g wrt g?\nAnswer: 84*g**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -200*z - 3. Is n(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 70542052, 70542053, 70542054?\n\"Answer: b + 70542051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 times -3103?\nAnswer: 40339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventy-nine thirds of a century?\nAnswer: 31600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 355.1 - 330. Let h = -25.099454 + a. Round h to five decimal places.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p**5\/13 + 12694*p**4\/13 - 42372*p**3\/13 + 16968*p**2\/13 + 2608*p = 0 for p.\nAnswer: -2119, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 + 0*t**2 - t**2)*(-2755*t - 2974*t + 1863*t)*(4*t - t - t).\nAnswer: 7732*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2110*x**4 - 3*x**3 - 1042*x**4 + 86*x - 1067*x**4 in the form l*x**3 + a + t*x + n*x**4 + i*x**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/12*30\/(-25)*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15214 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/5, -1, -14?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -280*x**2 - 610*x - 135.\nAnswer: -5*(4*x + 1)*(14*x + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) - -4*sqrt(272) - ((sqrt(17) - (3 + sqrt(17) + sqrt(17))) + 0)) + -6*(-4 + (sqrt(153) + -1 - sqrt(153))))**2.\nAnswer: 1188*sqrt(17) + 6597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49240530?\nAnswer: 2, 3, 5, 101, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((-1*sqrt(960) - sqrt(960)) + sqrt(960))\/sqrt(12))**2 + ((1*(sqrt(50) - -2*sqrt(50)))\/(sqrt(60)\/sqrt(54)))**2 + -3.\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 105 = 2*r. Let c = 179 + r. Suppose 24 = -4*x + c. Solve -6 = -5*o + 3*w - 4, -5*w = 5*o + x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (333\/63)\/(27\/189*3\/9)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 344 + -344. Suppose c + 9 = n - 4*n, 5*n + 15 = q. Are 2\/21 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q + 1885 - 1873, 0 = -2*o + 4*q + 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5337, 5145, 4953, 4761, 4569, 4377?\nAnswer: 4185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3035.\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79 = -d - 8*g, 792*d - 416*d + 26 = 380*d + 3*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w + 6. Let o be l(-4). Let d(m) be the first derivative of -m**2 - 9*m + 633. Give d(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -448?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 4*h**2 - h - 1. Let n be u(-1). Suppose -n*m - s + 4 = 0, 4*m - 3*s + 12 = 2*m. Let v = 1 - m. Let b(j) = -2*j**2 - j. Give b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.268 and -6.809.\nAnswer: -1.824812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 165859 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -906 - -905.9. What is the nearest to 0.1 in -2, 4, 21, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -6*t + 4. Determine k(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/43 + 89\/129. Which is greater: i or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19732\/13 - -1518. Let p = 600\/7 + -86. What is the fourth smallest value in 4, v, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 807850 and 963.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((3\/8)\/3)\/((-4221)\/8442)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74698 is divided by 4241?\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*((v*v**(1\/5)\/v)\/v)\/v*v*v*v**(-8)*v**2*v*v*v\/v**(-3\/4))\/((v\/v**(-6)*v*v*v\/((v\/((v*v**(-7)*v)\/v))\/v))\/(v**(-5)\/(v**(-7)\/v))) assuming v is positive.\nAnswer: v**(-41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 3:59 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5*(-2)\/75)\/((-44)\/(-440))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 10*(-7)\/42*(9\/27)\/(315\/(-17766))\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 511854 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23956, 24166, 24524, 25036, 25708?\nAnswer: 26546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the third derivative of -y**7\/2520 + 7*y**6\/720 - y**5\/6 + 3*y**2. Let c(z) be the third derivative of o(z). What is the tens digit of c(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64618?\nAnswer: 2, 32309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 71 - 8 = -4*w, -4 = 2*w. Calculate the remainder when 40 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 101559151 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z - 9 = -21. Suppose -2*g = -j + z*j - 5, -20 = -3*g - 4*j. Determine b so that 0 - 1\/2*b**4 + 0*b**2 + 1\/4*b**5 + 1\/4*b**3 + g*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*s + 13*s = 4. Solve s*k + 3*u - 11 = -0*k, k - 3*u = -16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 727 - 104. Let n = l + -622.99999787. Round n to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -114081 - 4?\nAnswer: -114085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of -y**6\/60 - 3*y**5\/20 - 5*y**4\/24 + y**3\/6 - y**2 + 103*y - 3. Give h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6420\/(-2675)*25\/16?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21854483 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 31713 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u + 3 - 3 - 3 + 3 - 3*u + (0*u - 4*u + 2*u)*(3 + 2 - 3) + 0*u - u + 3*u + (2*u - 4*u + 4*u)*(1 - 1 + 2).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s**2 - 16*s**2 + 5*s**3 + 8*s**2.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 51*p**3 + 8*p - 4. Does 20 divide a(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmccccccpcccmcc.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2343452 - -4?\nAnswer: -2343444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -18100000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (1*2)\/((-246)\/(-369)) - (-2940)\/2?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + 2*d**2 + 2. Let x(r) = r**2 - 4*r - 7. Let j be x(5). Let s be o(j). Let h(f) = -4*f - 2 + f - 5*f + s*f. Let c(t) = t. What is 5*c(i) + h(i)?\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -235114 (base 6) to base 9.\nAnswer: -31181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/52)\/(41\/(-533))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 5*y - 630. What are the prime factors of y?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -2\/245  (b) -7  (c) -0.5  (d) -1  (e) 2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: cc06 (base 16) to base 10\nAnswer: 52230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**3 - 2*a**3 + 3*a**3)*(7*a - 16 + 16 - 2*a + 0*a + 0*a + (-a + 3*a - 3*a)*(-2 + 5 - 4) - 17*a + 2*a + 34*a).\nAnswer: -25*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2588954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -8 + 12 + 4 + -3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*d - 7 = 14. Let 7*p**2 - 7*p**3 + 4*p**3 - p**4 + 3*p**d - 6*p = 0. What is p?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 94 + -94.0000134. Round z to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 + -23. Let r be k\/6*(-18)\/12. Solve 8 - r*g**2 + 51*g**2 - 72*g + 113*g**2 = 0 for g.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4967 is divided by 68?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -271 = 28*b + 345. What is the remainder when -3*((b\/3 - 4) + 1) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 200*s - 346 - 350 + 1040 - 347.\nAnswer: 200*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 5. Let k(a) = a + 6. What is -6*f(c) + 5*k(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*k**2 - 1 - 3 - 7 - 9*k**2 with respect to k.\nAnswer: -26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 7*q - 5. Let w(o) = -11*o + 8. Let y(k) = -8*i(k) - 5*w(k). Suppose 3*l - 1 = 5. Let t(a) = -a**l + 0*a + 0*a. What is y(t(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-194)\/(-1940))\/((-1)\/((-2)\/(-3))).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12632 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 0 + 4)*(o**4 + 2*o**2 - 2*o**2).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 162457, 324913, 487371, 649831?\n\"Answer: v**2 + 162453*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 47425954 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26 - -31. Let t(a) be the second derivative of 0 - 2*a + 5\/6*a**3 + 7\/2*a**2 - 1\/12*a**4. Give t(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 118 + -169. Let i = l - -124. What is the remainder when i is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -272342 - -272579. Let p = 5.12 - 0.12. What is the second smallest value in p, j, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.871 to two dps.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -645, -2268, -4971, -8754, -13617, -19560?\nAnswer: -26583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -8\/135 and -53\/1875.\nAnswer: 16875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gkdgdggggdddgdgkgjhd. Give prob of picking 1 h, 1 k, 1 d, and 1 g.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -3 + 34 + (139 - 133)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -9*v**2. Let d(o) = 5*o**2 - 17*o**2 + 10*o**2. What is m(d(a))?\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seventeen tenths of a week?\nAnswer: 17136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-28))\/(16\/96)*2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -134?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 21*m + 19*m = -5198, -5*b + 2*m + 8642 = 0. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -219 * 22183.\nAnswer: -4858077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2369224, -2369365, -2369504, -2369641, -2369776, -2369909?\n\"Answer: v**2 - 144*v - 2369081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 690 is divided by 226?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1170241\/217 - 5393. Find the common denominator of -125\/186 and r.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h**2 - 7*h - 5. Let z be s(8). Suppose z*w = 4*w - 3*i - 2, 8 = -w + 5*i. What is the remainder when 98 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 + 14*s**2 - 13*s + 4. Let o = -4 - -2. Suppose -9*h - 18 = -3*h. Let y(w) = -15*w**2 + 12*w - 3. Let z(p) = h*g(p) + o*y(p). Factor z(j).\nAnswer: 3*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 9:46 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 >= 593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.032 - 303676.\nAnswer: -303677.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 4*g + 11. Let o be y(-5). Let k = o - -6. Sort k, 1, 6 in descending order.\nAnswer: 6, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -77.121 - -0.821. Let o = -88 - n. Let j = 21.1 + o. Round j to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2907.688+2225\nAnswer: -682.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 76\/304 - (-2)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.42 + -12.08. Let s = 3 - f. Let j = 14 - s. Round j to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 3*f + 60. Let d(b) = b**2 - 14*b - 1. Calculate the remainder when 24 is divided by d(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**4\/13 + 140*o**3\/13 + 1024*o**2\/13 + 1984*o\/13.\nAnswer: 2*o*(o + 4)**2*(o + 62)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4645423403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/4)\/(33\/(-110)*(-20)\/16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1683194379 - -237.1?\nAnswer: -1683194141.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/336 and -115\/12?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 w, 1 c, and 1 a when four letters picked without replacement from {g: 3, c: 1, w: 1, s: 6, a: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1443.2 and -647.\nAnswer: -2090.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -4*q + 28. Suppose 5*l + 40 = -s - 0*s, l - 226 = 5*s. Let a be 3*s\/((-3)\/(6 + -3)). Calculate the highest common divisor of a and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1390 - 1376. Suppose l = k + 62, 4*k - 3*k = -4*l + 253. Calculate the greatest common factor of n and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + (-2)\/(-14)*-323. Suppose -5*w + 4*u + 235 = 0, 4*w = u + 270 - 82. Let g = w + k. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 654729436 to the nearest integer?\nAnswer: 25588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 0*c + 0*c**2 - 4\/5*c**3 + 4\/5*c**4.\nAnswer: 4*c**3*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -30 + 6 + 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {m: 1, z: 5, f: 1, v: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -49209 + 102078. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*i**2*l*r**2 - 6*i**2*l - 151*i**2*r**3 - i**2*r**2 - 290*r wrt r.\nAnswer: 4*i**2*l - 906*i**2*r - 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*6*((-2*(sqrt(91)*-1 - sqrt(91)) + sqrt(91))*-1)\/(((2*sqrt(70) - sqrt(70))*-1 - sqrt(70))\/sqrt(10)).\nAnswer: 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 52*d**2 + 1054*d + 202. Calculate u(-20).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*g = 16*g - 112. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32 - 11 - 15)*(2*s - 3*s + 2*s).\nAnswer: -58*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 101 = -669. Let c = 263 + f. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 12) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-55 - 8) + -17)\/((-3)\/9666). Round v to the nearest 1000.\nAnswer: 258000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 242983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -124593307 less than -2?\nAnswer: 124593305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 471399 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 the next term in 697, 1023, 1347, 1669, 1989, 2307?\nAnswer: 2623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -176 - -175.9899. Round f to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 3*c + 7*c = -11331, 6769 = 3*u + 5*c. Suppose -25 - u = -8*q. What is the greatest common divisor of 26 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 187211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*f**4 - 4*f**4 + 2*f**4 + (0 - 2*f + 0)*(f**3 + 0 + 0) + 19*f**2 - 5*f**4 - 19*f**2.\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 867*w - 2964 = 905*w - 4636 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(-6\/13))\/(n**16*n) assuming n is positive.\nAnswer: n**(-202\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 6) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12222, 12214, 12200, 12180?\nAnswer: 12154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 102 - -10265?\nAnswer: 10367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 26802, 53603, 80404, 107205?\n\"Answer: 26801*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g**3 - 3*g**2 + 9*g - 4. Let l be i(4). Suppose -13*z - l = -17*z. Calculate the least common multiple of 70 and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1368.89 + -1381. Let w = h - -12. Which is the biggest value?  (a) w  (b) -0.2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bmvmsdy. What is prob of picking 1 s and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 556604*c**2 - 1714266 with respect to c.\nAnswer: 1113208*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2031985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(2*sqrt(88)*5)\/(2*sqrt(48)\/sqrt(6) - sqrt(8)))**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 136127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of 0 + 0*l + 11\/24*l**4 - 3*l**3 - 1\/60*l**5 - 146*l**2. Determine a(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of -37*m**4\/4 + m + 1. Let a be n(-1). Suppose 5*p = j - 11 - 10, 4*j + 3*p = a. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, q: 5, i: 1, c: 1, u: 6}. What is prob of picking 1 c and 1 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0176 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(4 + ((sqrt(117) + 6*((sqrt(117) - 1*sqrt(117)) + sqrt(117)) + sqrt(117))*5)\/((sqrt(3267) + (sqrt(3267) - sqrt(3267)*-2))\/sqrt(3))))**2.\nAnswer: 320*sqrt(13)\/11 + 12944\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -149 + 611\/4. Let u = -73 - -69. Sort u, -0.2, 0.5, j in decreasing order.\nAnswer: j, 0.5, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 910089009?\nAnswer: 3, 2393, 42257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**5)**(-41)\/(d*d*d**7*d*d**(-8\/9)))**(-3\/2) assuming d is positive.\nAnswer: d**(-697\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-72)\/162 + ((-107)\/(-180) - 2\/5). Let q = 2\/453 - -419\/7701. Which is the closest to 1\/4?  (a) q  (b) n  (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.491675 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -685 by 103.\nAnswer: -685\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 4366063 to the nearest one thousand.\nAnswer: 4366000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 8:59 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 128, 127, 126, 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2 + 552667532*g - 38180175115871378.\nAnswer: -2*(g - 138166883)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*f*r**3 + 667*f*r + 30038*r**5 - 2*r**4 + 698*r - 2 wrt r?\nAnswer: 30*f*r + 600760*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34048 - 33939.996. Let b = a - 108. Round b to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 4*i - 4*w + 14, 2*i - 5*w - 6 = 0. What is the least common multiple of 24 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2532 - 4658?\nAnswer: -2126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -95 + 121. Calculate the greatest common factor of 143 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, m: 2}. Give prob of picking 1 m and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 179 + -179.113. Let f = -245656.1129894 - -245656. Let t = w - f. Round t to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -95 - -91. Let i be 1 + 7\/z - 15\/(-4). Solve -i*q + 5 + 7 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(3159)*5 + sqrt(3159) + sqrt(3159) - sqrt(3159))\/(sqrt(15)\/(-4*(sqrt(5) + sqrt(20)\/sqrt(4)))).\nAnswer: -792*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -46 + -41. Let d = q + 86.8. Which is the closest to d?  (a) 0.5  (b) 4  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -58.8 + 59. Let g be (2\/6)\/((-5)\/25). What is the nearest to -2 in u, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(176)*6 - (0 + sqrt(22)\/sqrt(2)*-4).\nAnswer: 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -32f3 + 10?\nAnswer: -32e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q. Let a(v) be the third derivative of v**6\/720 - 5*v**4\/24 - 9*v**2. Let y(k) be the second derivative of a(k). Calculate y(l(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(136)\/(sqrt(8)*2) - (sqrt(17)*1 + 5 + -1)) + -3 + 3)**2.\nAnswer: 16*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(396)\/sqrt(4) - (sqrt(308)\/sqrt(7))**2.\nAnswer: -44 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (11 + -10 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + -4. Let f = 64 + -59.2. Let z = f - 4.7. Sort z, h, -0.1 in descending order.\nAnswer: z, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -78 + 68. Let l be (-10)\/n*(-2)\/17. Sort l, 3, -2\/11 in descending order.\nAnswer: 3, l, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(18\/8 - 2). Let i(s) = 4*s**3 + 40*s**2 + 4. Let c be i(-10). Factor 12*o**5 - 13*o**4 + m*o**2 + 2*o**4 + c*o**3 - 9*o**4.\nAnswer: 4*o**2*(o - 1)**2*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 661*a + 19*a - 129500 = -255*a - 1655*a for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of 55*g**9\/252 - g**5\/30 + 31*g**4\/12 - 4*g**2 + 6. Find the third derivative of q(j) wrt j.\nAnswer: 13200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/14 + 0)\/(22 - 11 - (-5185)\/(-427)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 262647373.60000081 - 262647387.7. Let r = -14.1 - v. Round r to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (4 - (4 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + k + 40 = 0, 3*s - 2*k + 143 - 178 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -115, -136, -157?\n\"Answer: -21*o - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 31832609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the third derivative of f**4\/24 + 5*f**3\/2 - 51*f**2. Let t(y) = 3*y + 5. Let x be t(-4). Let p be g(x). Solve 3*c + 10 = p*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the third derivative of 59*a**7\/210 + 89*a**5\/60 - 2*a**2. What is the third derivative of l(q) wrt q?\nAnswer: 1416*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 100 + 4?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 AM and 4:26 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000022011 (base 3) to base 4.\nAnswer: -10312333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of -w**5\/60 + w**4\/4 - 2*w**3\/3 - 2. Let r(v) be the third derivative of z(v). Is r(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**3 + 3*k**3 - 3*k**3 + (-4*k**2 - k**2 + 2*k**2)*(-13600 + 13600 + 49*k).\nAnswer: -146*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 375263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31 + 53. Let m(s) = s - 1. Let i(w) = -w**2 - 10*w + 12. Calculate j*m(d) + 2*i(d).\nAnswer: -2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.4  (b) -1\/3  (c) -1\/2  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -0.1, 5.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-3)\/4 + 2431065\/(-468))\/(1\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyfyfyyyyyzzyyyfy. Give prob of picking 2 z and 1 f.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u - 17. Let j be y(20). What is the common denominator of 4\/(-6)*1*-27 and j - 5*((-39)\/(-24) + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 2*j + 4767. Let g(o) = -3*o. What is f(g(r))?\nAnswer: -6*r + 4767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-27)\/(-6))\/((-2)\/4). Let h be (-8)\/6*(1 - 13). Let w = h + s. Solve z - 5*p = -29, 2*z - p = -6 - w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75186.4l to millilitres.\nAnswer: 75186400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -273 - -273.58. Let h = -0.045 + 0.825. Let x = y - h. What is the closest to -4 in 3, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -432534.231 rounded to the nearest 1000?\nAnswer: -433000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -5*y**2 + y + 4. Let f(h) = 9*h**2 - h - 7. Let o = -349 + 344. Determine o*q(t) - 3*f(t).\nAnswer: -2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -521?  (a) 18  (b) -1\/5  (c) 5  (d) -2\/7  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttolttoorvgtvttloogt. Give prob of picking 1 g and 2 o.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from aiabbaaiaabaaaabbba?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*r**3 + r + 10*r**3 - r + 9 with respect to r.\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26550050 - 645484?\nAnswer: -27195534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 13639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.02, -5, 1065, -1\/4 in decreasing order.\nAnswer: 1065, -0.02, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 + -11. Suppose 4 = 30*m - 31*m. Put -3, y, m in increasing order.\nAnswer: y, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2 - 2*j + 2. Let o(k) be the second derivative of k**4\/12 - 2*k**2 - 12*k. Let z(g) be the first derivative of o(g). Give z(p(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*y**3 + 0*y**3 + 4*y**3)*(1 - 2 + 18) - y**3 + 3*y - 3*y to i + x*y**3 + v*y**2 + a*y and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -357*l**3*w**2 - 25*l**3 - 4*w wrt w?\nAnswer: -714*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4423*14\nAnswer: 61922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of 0 - 3\/80*g**5 + 1\/40*g**6 + 2*g + 1\/48*g**4 - 1\/168*g**7 + 0*g**3 + 0*g**2. Factor f(w).\nAnswer: -w**2*(w - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -170860 (base 9) to base 16.\nAnswer: -19cce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j**3 - j**2 + 3*j - 1. Let p be i(2). What is the units digit of -1*p\/(-6)*-4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ntptp. Give prob of picking 1 n and 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/27*3)\/(295\/2478)*-2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 278 divided by -5\nAnswer: -278\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51 = 48*w - 57*w + 123 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-18)\/(-3) - 2)\/(5\/21875000). Suppose -i = -r + 2*v, -4*v + 70000000 = 4*r - 0*v. Round r to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 90721*f**6 - 363*f**4 - 63479848*f**2 wrt f.\nAnswer: 10886520*f**3 - 8712*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -69220*b**2. Let d(n) = 31*n + 1. Calculate d(v(k)).\nAnswer: -2145820*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.978 + 0.978. Which is the third smallest value?  (a) 0.5  (b) -35  (c) q  (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(4\/(-8) - 0). Let p be 1\/(3\/(c - -8)). Is p equal to 14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -11619*w**3 + 28*w**2 - 42*w. Let k(g) = -11618*g**3 + 24*g**2 - 36*g. Determine -6*f(j) + 7*k(j).\nAnswer: -11612*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 560 - 583. Put y, 3, 1, 5 in descending order.\nAnswer: 5, 3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*o = -o + 50. Suppose 4*h = 20, o = y - 5*h - 278. What are the prime factors of y?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 95.28661 decades in centuries?\nAnswer: 9.528661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 2 - 56 = -3*p, -2*n = -15*p + 1689 - 1659 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/((-10)\/25*-1). Let u(x) = 669*x**2 - 4*x + 5. Let z be u(n). Let p be z\/2*(-19 - -35). What is p rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-14) - (-492)\/42 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, c: 2, n: 2, w: 1, r: 8, v: 2}. What is prob of picking 2 m?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b**2 - 4*b**2 + b**2 + (3*b - 5*b + 3*b)*(-5*b + 4*b + 2*b) + 4 - 4 + 3*b**2 to k + m*b**2 + w*b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 4*w**2 - 7*w + 2. Let v = -10 - -14. Let k(o) = -2*o**2 + 3*o - 1. What is v*q(n) + 9*k(n)?\nAnswer: -2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o - 4*o + 2*t + 28, 0 = o - t - 9. Let w = -1.96 + -0.04. Which is the closest to -0.1?  (a) 4  (b) o  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -1 - ((8 - 4 - -3) + 22).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3\/7  (b) 1.2  (c) 2\/3  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -w + 6. Solve 3*g + 4*a - 3 = -18, -3*g + w*a - 15 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 298 + -238. Let f be -3 + (-6700)\/k + (-4)\/(-6). Sort 3, f, 2, 0 in decreasing order.\nAnswer: 3, 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - 7. Let c = -6305\/11 + 573. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16690.\nAnswer: 2, 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 3*t + 20 = 0, 149263*u + 212 = 149237*u - 0*t + t for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - 25. Let s = k - 127. Let o = -158.134 - s. What is o rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-120)\/63 + -4*(-1)\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*x = -986*x - 9091 - 8370 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 213*(27\/18 - 11\/6). Let d = 74 + h. Suppose -30 = -6*q + d*q. Calculate the greatest common factor of 130 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 + 7*q**2 - 2*q - 8. Let w be h(-7). Suppose -s + 34 = w. What is the remainder when s is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 6 = 3*t, 0 = -2*x + 4*x + t - 8. Suppose 3*y + o = 60, x*o = 2*y - 3*o - 57. Let z(v) = 18 + y - 34 - v. Determine z(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(132) + sqrt(132) + sqrt(132)*-1))\/((sqrt(16)\/sqrt(2))\/sqrt(2)))\/(-5*(sqrt(108) - (sqrt(108) - sqrt(108)*1))*5).\nAnswer: -sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -306, -608, -908, -1206?\nAnswer: -1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.08 - -0.02. Sort -1\/3, z, 4\/7 in descending order.\nAnswer: 4\/7, z, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 5. Suppose 4*l + 3*p - 66 = 0, q*p - 26 = -3*l + l. Suppose 2*g = l + 20. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*j**3 + j**4 - 17 - 3*j**2 - 13 + j**4 + 11 as o*j**4 + n*j + h*j**3 + d*j**2 + m and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.9045012m?\nAnswer: 90.45012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 3114926744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 46*b**2 - b - 1. Calculate o(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the first derivative of d**3 - 5*d**2 + d - 152. Let y(n) = -2*n**2 - 1. Let z(v) = -s(v) - 2*y(v). Calculate z(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 56113 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 + 88*c**2 - 58*c - 5020. Determine f(-88).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 less than -1482.58?\nAnswer: -1482.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.485, 5, 2, -388 in ascending order.\nAnswer: -388, 0.485, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 62080940 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 42 + -50. Let p = v - -25. Let i = 16.6 - p. Which is the biggest value?  (a) 0.7  (b) -2\/11  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52368360.\nAnswer: 2, 3, 5, 11, 97, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s - 1\/5*s**4 + 0 - 4\/5*s**2 + s**3 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 322789, 322760, 322713, 322648, 322565, 322464?\n\"Answer: -9*w**2 - 2*w + 322800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {h: 3, y: 5, w: 4}.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11688*q**3 + 18*q**2 - 416 - 3*q - 11670*q**3 + 3*q wrt q.\nAnswer: 54*q**2 + 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92609161?\nAnswer: 92609161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 2193*x + 6573. Calculate f(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2536*u**2 + 1640*u + 12. Let f(j) = -j**2 + j + 12. Let a(l) = f(l) - h(l). What is the second derivative of a(v) wrt v?\nAnswer: -5074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*w**5 + 3692*w**3 - w**2 - 32126*w wrt w.\nAnswer: -40*w**3 + 22152*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 64.3 - 68.3. Let k = 13 + -18. What is the nearest to -0.05 in k, -1\/6, i?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70242658?\nAnswer: 2, 19, 271, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 92580 + -26292763\/284. What is the common denominator of -37\/12 and t?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l = 669 + 304. Let h(z) = 11*z**2 + 9*z + 8. Let n be h(-6). Let j = n - l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {y: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 11*r. Let s = 240 + -240. Let g(w) be the second derivative of s - 3*w - 1\/6*w**4 + 0*w**2 + 0*w**3. Calculate g(h(v)).\nAnswer: -242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7.8*5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -183463 + 183465. Factor 0 + 10*r**q - 14\/3*r**3 - 6*r + 2\/3*r**4.\nAnswer: 2*r*(r - 3)**2*(r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-241064)\/22 + 1 + (-153)\/99. Round k to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 60129259 to the nearest integer?\nAnswer: 7754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.9 + -1. Suppose -3*s + 3*l + 36 = 0, 0 = s + 4*l - 122 + 145. What is the nearest to -1 in s, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108*w - 113*w - 106*w - 120*w + 434*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 3*a**2 - 2*a. Let p be z(3). Suppose -19 - p = 4*j. Let c be (j - 8)*2\/(-3). Solve -3*k - 23 = 5*o, 6*k - 4*o = 2*k + c for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = -6*t + t - 4, -38*t = -4*p - 42*t + 48 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 845097106 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -43 + (34 - (6 + 15))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r**3 - 30*r**2 - 13*r - 4. Let g(x) = -2*x**3 + 28*x**2 + 15*x + 3. Give 4*g(m) + 3*y(m).\nAnswer: m**3 + 22*m**2 + 21*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(405) + 1.\nAnswer: 2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -665 by 59.\nAnswer: -665\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of v**5\/60 - v**3\/3 + 2*v**2. Is z(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 4*f + 109. Let i = -15 - f. What is the third derivative of 13*l**2 + 0*l**2 + 34*l**6 - 40*l**i wrt l?\nAnswer: -720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i**2 + 14*i. Let k(r) = r. Determine -3*k(f) - q(f).\nAnswer: -3*f**2 - 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1697901196.\nAnswer: 2, 2221, 191119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millennium in decades?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 91435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58962?\nAnswer: 2, 3, 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 - 5*r**2 + 5*r - 6. Let d be k(-6). Let b(l) = -l + 43. Let u be b(d). Suppose -5*o + u + 7 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127*h**2 - 93*h**3 + 127*h**2 + 356*h**3 - 106*h**3.\nAnswer: 157*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5.9  (b) 86\/7  (c) -4  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 888887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i and 1 r when four letters picked without replacement from {i: 3, m: 10, r: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/8  (b) 0.4  (c) -146  (d) -2\/7  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 12\/(-9) - 2\/(-6). Let z(f) = -2*f**2 + 33*f - 126. Let t be z(7). Which is the third smallest value?  (a) 15\/7  (b) y  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1441.034 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:55 AM and 11:30 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -54?  (a) -3\/2  (b) -96  (c) -0.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.70709 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000020414279 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 + 5*w**2 - 2*w - 5. Calculate r(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u = -2*x - 12*u - 10, -5*x = -u - 14. Factor 1\/3*f**2 + 0*f + f**x - f**3 + 0 - 1\/3*f**5.\nAnswer: -f**2*(f - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 975702223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 118.1 + -118. What is the second biggest value in -0.2, -0.3, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/3 + 599530*l\/3 + 599531\/3.\nAnswer: -(l - 599531)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.606102 - -1.5922. What is y rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 48*z**2 - 12*z**2 - 31 + 11 + 20. Let f(n) = -559*n**2. Calculate f(a(q)).\nAnswer: -724464*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6\/607 + -40693\/2428. Let s = k + 53\/2. Let l = -30472\/27441 - 2\/3049. Calculate the common denominator of s and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 7 = 3*y, -y + 190*t = 186*t. Let d(w) be the first derivative of 0*w**3 + 15\/4*w**y + 0*w**2 + 11*w - 9. Differentiate d(s) with respect to s.\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.3552 + -1.3552. Let q be -8*13\/54 - -2. Which is the nearest to y?  (a) -0.3  (b) q  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21845119 less than 3488.1?\nAnswer: 21848607.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -10*u + 0 + 0 - 2*u. Let j be 3*((-8)\/12)\/2*-6. Let r(o) = 2*o + 4*o + j*o - 16*o. Give r(q(h)).\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 4:45 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 20 = 12*c. Suppose -2*y - y = 15, -c*a - 9 = 3*y. Sort 0, 4, a, -4.\nAnswer: -4, 0, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33006089 to the power of 1\/2, to the nearest integer?\nAnswer: 5745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-105 + 7)*1 + -4. Let m = l - -775. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 659.642 + -1.642. Let c = -659 + k. Put 2, 20, c in descending order.\nAnswer: 20, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3\/5 - 364*b**2\/5 - 6524*b\/5 - 6164\/5.\nAnswer: -4*(b + 1)*(b + 23)*(b + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a6 - 39b?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -93*y + 7*y**2 + 93*y + 12*y**3.\nAnswer: 12*y**3 + 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14311\/5204*4\/(-22)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**4\/11 + 5785852*v**3\/11 + 5579345299032*v**2\/11 + 1793400575754026372*v\/11 - 1793406155105111258\/11 = 0.\nAnswer: -964309, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/7, 0.1, 0.2, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-40)\/35*14\/(-40)*-2. Let c = -0.35 - -0.05. Is c <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 - 2*i + 1. Let u be k(-3). Let p be 36\/21 - 2\/(-7). Let w be p - (-4 + 3)*-7. Let n(a) = 3*a + 5. Let t(d) = -d - 2. Calculate u*n(b) + w*t(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**2\/(o**(3\/7)*o)*(o**(-2\/7))**(6\/7))\/(o**(-2)\/o*o*o\/o**7*(o**1)**(-2\/49)) assuming o is positive.\nAnswer: o**(410\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-2\/23))\/i)**(-8\/3)\/(i*(i**(22\/5)*i)\/i*i**(-6)) assuming i is positive.\nAnswer: i**(127\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.2 + -2.9. Let t = 0.4 + -0.7. Which is the biggest value?  (a) -3\/4  (b) t  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 928209.2 weeks?\nAnswer: 561380924160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9 + 33*a**2 - 33*a**2 + 3*a**3 + 2*a + a**4 - 4 to z*a**2 + o*a**3 + n*a + d*a**4 + f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 28*f - 63 = 37*f, 4*q + 46*f - 24 = 42*f for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -116 - -161. Let l = 41 - r. Which is the closest to 1\/13?  (a) l  (b) -3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 148*g + 5906. What is k(-39)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/8 + 1089\/(-36). Let n = y + 50. Solve -5*v = -0*v + n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*u + 18 = 17*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -23 + 7 + 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2456677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 5*i = -2, 3*i = a + 10 - 6. Let k be (-3)\/2*(a - 8). Solve -88*l = -85*l - k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 4 = 2*b, -8752*b - 56 = -8757*b - 19*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, i: 2, s: 5, u: 6, q: 3, t: 1}. Give prob of picking 2 q, 1 u, and 1 t.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*(-186)\/10692 + 38\/627. Is l greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 7, a: 12}. What is prob of picking 4 a?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/13, 5, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 times -588573?\nAnswer: -35314.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 559567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lg when two letters picked without replacement from {g: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/4*-2)\/(-4). Let n = 18 - 8. Let q = n + -12. Which is the biggest value?  (a) 5  (b) s  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 3. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 + 3*x - 8. Suppose 3*r - 4 = j, 5 = 4*r - j - 1. Let g be i(r). Calculate the highest common divisor of g and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -61 - -3) + -3 - (-1368 - -1375)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -8*f - 3. Let l(h) = -55*h - 20. Let y(v) = 3*l(v) - 20*p(v). Let s(k) be the third derivative of -k**4\/12 + 3*k**2. Calculate s(y(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 5:33 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v, 1 y, and 1 h when four letters picked without replacement from {w: 1, h: 4, v: 5, y: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13269?\nAnswer: 3, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 772909994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 29 = 5*p, -3*p + 41 = 3*k + 44 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Are -234958 and -231553 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -351 - -1535. What is the least common multiple of d and 36?\nAnswer: 10656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 100.37 and -171195.43.\nAnswer: -171095.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + 11*f + 2. Let l be o(-15). List the prime factors of (3 + -6)\/((-3)\/l).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 7*k**2 - 7*k - 16. What is g(7)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4823.505cm in meters?\nAnswer: 48.23505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((sqrt(95)\/(sqrt(25)\/sqrt(5)) - sqrt(19)) + (sqrt(209)*-2)\/sqrt(11) + 2)*-6 + -2).\nAnswer: -48*sqrt(19) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from nxiiinixininn?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10638 divided by 1182.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((10\/(-45))\/(14\/(-441)))\/259\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 794453 - 856625 = -628*y for y.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04795 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 295463 - -359390. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (2 - 13) - (4 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.53 + 0.17. Let k = -0.3 + j. Let y(q) = q**2 + 6*q - 5. Let c be y(-6). Sort k, 1, c in decreasing order.\nAnswer: 1, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iaakkfaa. Give prob of sequence aaif.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}